Finite Volumes For Complex Applications X Volume 2 Hyperbolic And Related Problems

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Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems

Author : Emmanuel Franck
Publisher : Springer Nature
ISBN 13 : 3031408608
Total Pages : 296 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems by : Emmanuel Franck

Download or read book Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems written by Emmanuel Franck and published by Springer Nature. This book was released on 2023-10-12 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the second part of the proceedings of the 10th International Conference on Finite Volumes for Complex Applications, FVCA, held in Strasbourg, France, during October 30 to November 3, 2023. The Finite Volume method, and several of its variants, is a spatial discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods are also built to preserve some properties of the continuous equations, including maximum principles, dissipativity, monotone decay of the free energy, asymptotic stability, or stationary solutions. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. In recent years, the efficient implementation of these methods in numerical software packages, more specifically to be used in supercomputers, has drawn some attention. The first volume contains all invited papers, as well as the contributed papers focusing on finite volume schemes for elliptic and parabolic problems. They include structure-preserving schemes, convergence proofs, and error estimates for problems governed by elliptic and parabolic partial differential equations. This volume is focused on finite volume methods for hyperbolic and related problems, such as methods compatible with the low Mach number limit or able to exactly preserve steady solutions, the development and analysis of high order methods, or the discretization of kinetic equations.

Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems

Author : Clément Cancès
Publisher : Springer
ISBN 13 : 3319573942
Total Pages : 559 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems by : Clément Cancès

Download or read book Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems written by Clément Cancès and published by Springer. This book was released on 2017-05-22 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second volume of proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017). It includes reviewed contributions reporting successful applications in the fields of fluid dynamics, computational geosciences, structural analysis, nuclear physics, semiconductor theory and other topics. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete l evel. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is useful for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as for engineers working in numerical modeling and simulations.

Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems

Author : Emmanuel Franck
Publisher : Springer Nature
ISBN 13 : 3031408640
Total Pages : 381 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems by : Emmanuel Franck

Download or read book Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems written by Emmanuel Franck and published by Springer Nature. This book was released on 2023-11-01 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the first part of the proceedings of the 10th International Conference on Finite Volumes for Complex Applications, FVCA, held in Strasbourg, France, during October 30 to November 3, 2023. The Finite Volume method, and several of its variants, is a spatial discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods are also built to preserve some properties of the continuous equations, including maximum principles, dissipativity, monotone decay of the free energy, asymptotic stability, or stationary solutions. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. In recent years, the efficient implementation of these methods in numerical software packages, more specifically to be used in supercomputers, has drawn some attention. This volume contains all invited papers, as well as the contributed papers focusing on finite volume schemes for elliptic and parabolic problems. They include structure-preserving schemes, convergence proofs, and error estimates for problems governed by elliptic and parabolic partial differential equations. The second volume is focused on finite volume methods for hyperbolic and related problems, such as methods compatible with the low Mach number limit or able to exactly preserve steady solutions, the development and analysis of high order methods, or the discretization of kinetic equations.

Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems

Author : Jürgen Fuhrmann
Publisher : Springer
ISBN 13 : 3319055917
Total Pages : 518 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems by : Jürgen Fuhrmann

Download or read book Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems written by Jürgen Fuhrmann and published by Springer. This book was released on 2014-05-16 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications. The second volume of the proceedings covers reviewed contributions reporting successful applications in the fields of fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory and other topics. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. Researchers, PhD and masters level students in numerical analysis, scientific computing and related fields such as partial differential equations will find this volume useful, as will engineers working in numerical modeling and simulations.

Finite Volumes For Complex Applications VIII, volumes 1 and 2

Author : Clément Cancès
Publisher : Springer
ISBN 13 : 9783319588186
Total Pages : pages
Book Rating : 4.5/5 (881 download)

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Book Synopsis Finite Volumes For Complex Applications VIII, volumes 1 and 2 by : Clément Cancès

Download or read book Finite Volumes For Complex Applications VIII, volumes 1 and 2 written by Clément Cancès and published by Springer. This book was released on 2017-05-24 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This set includes the first and second volume of the proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017) that collect together focused invited papers, as well as reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods, offering a comprehensive overview of the state of the art in the field. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The set of both volumes is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.

Finite Volume Methods for Hyperbolic Problems

Author : Randall J. LeVeque
Publisher : Cambridge University Press
ISBN 13 : 1139434187
Total Pages : 496 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Finite Volume Methods for Hyperbolic Problems by : Randall J. LeVeque

Download or read book Finite Volume Methods for Hyperbolic Problems written by Randall J. LeVeque and published by Cambridge University Press. This book was released on 2002-08-26 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and source code for all the examples presented can be found on the web, along with animations of many of the simulations. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.

Finite Volumes for Complex Applications

Author : Roland Vilsmeier
Publisher : Hermes Science Publications
ISBN 13 : 9782746200579
Total Pages : 889 pages
Book Rating : 4.2/5 (5 download)

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Book Synopsis Finite Volumes for Complex Applications by : Roland Vilsmeier

Download or read book Finite Volumes for Complex Applications written by Roland Vilsmeier and published by Hermes Science Publications. This book was released on 1999 with total page 889 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Volume methods are methods directly related to the numerical solution of conservation laws. Systems of such conservation laws govern wide fields of physics and the efficiency of corresponding solution methods is an essential requirement from basic research and industry. Since the efficiency of any method must be measured by the quality of the result compared to the computational cost to spend for, corresponding developments are widely spread, ranging from very fundamental numerical analysis up to the efficient use of modern computer hardware. Although in the past the numerical methodology has made large progresses, many problems and difficulties remain, requiring further intensive research. The present proceedings summarise the contributions to be presented at the second international symposium on Finite Volumes for Complex Applications - Problems and Perspectives. The first symposium of this series was held summer 1996 at INSA de Rouen in France. Based on the success of this first conference, the symposium in Duisburg has again received an unexpected high attention in the numeric community. After a critical review of the submitted contributions, 98 papers by authors from 20 countries are presented in this volume. In a rough estimation, about half of the contributions can be assigned to analysis and numerics of different methods whereas the other half is essentially concerned with application and computational aspects of methods.

Finite Volumes for Complex Applications VI Problems & Perspectives

Author : Jaroslav Fořt
Publisher : Springer Science & Business Media
ISBN 13 : 3642206719
Total Pages : 1065 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Finite Volumes for Complex Applications VI Problems & Perspectives by : Jaroslav Fořt

Download or read book Finite Volumes for Complex Applications VI Problems & Perspectives written by Jaroslav Fořt and published by Springer Science & Business Media. This book was released on 2011-07-21 with total page 1065 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite volume methods are used for various applications in fluid dynamics, magnetohydrodynamics, structural analysis or nuclear physics. A closer look reveals many interesting phenomena and mathematical or numerical difficulties, such as true error analysis and adaptivity, modelling of multi-phase phenomena or fitting problems, stiff terms in convection/diffusion equations and sources. To overcome existing problems and to find solution methods for future applications requires many efforts and always new developments. The goal of The International Symposium on Finite Volumes for Complex Applications VI is to bring together mathematicians, physicists and engineers dealing with Finite Volume Techniques in a wide context. This book, divided in two volumes, brings a critical look at the subject (new ideas, limits or drawbacks of methods, theoretical as well as applied topics).

Solving Hyperbolic Equations with Finite Volume Methods

Author : M. Elena Vázquez-Cendón
Publisher : Springer
ISBN 13 : 3319147846
Total Pages : 188 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Solving Hyperbolic Equations with Finite Volume Methods by : M. Elena Vázquez-Cendón

Download or read book Solving Hyperbolic Equations with Finite Volume Methods written by M. Elena Vázquez-Cendón and published by Springer. This book was released on 2015-04-16 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite volume methods are used in numerous applications and by a broad multidisciplinary scientific community. The book communicates this important tool to students, researchers in training and academics involved in the training of students in different science and technology fields. The selection of content is based on the author’s experience giving PhD and master courses in different universities. In the book the introduction of new concepts and numerical methods go together with simple exercises, examples and applications that contribute to reinforce them. In addition, some of them involve the execution of MATLAB codes. The author promotes an understanding of common terminology with a balance between mathematical rigor and physical intuition that characterizes the origin of the methods. This book aims to be a first contact with finite volume methods. Once readers have studied it, they will be able to follow more specific bibliographical references and use commercial programs or open source software within the framework of Computational Fluid Dynamics (CFD).

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Author : Robert Klöfkorn
Publisher : Springer Nature
ISBN 13 : 3030436519
Total Pages : 727 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples by : Robert Klöfkorn

Download or read book Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples written by Robert Klöfkorn and published by Springer Nature. This book was released on 2020-06-09 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the 9th conference on "Finite Volumes for Complex Applications" (Bergen, June 2020) are structured in two volumes. The first volume collects the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Topics covered include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. Altogether, a rather comprehensive overview is given on the state of the art in the field. The properties of the methods considered in the conference give them distinguished advantages for a number of applications. These include fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory, carbon capture utilization and storage, geothermal energy and further topics. The second volume covers reviewed contributions reporting successful applications of finite volume and related methods in these fields. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability, making the finite volume methods compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.

Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects

Author : Jürgen Fuhrmann
Publisher : Springer
ISBN 13 : 3319056840
Total Pages : 468 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects by : Jürgen Fuhrmann

Download or read book Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects written by Jürgen Fuhrmann and published by Springer. This book was released on 2014-05-12 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of the proceedings of the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) covers topics that include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Altogether, a rather comprehensive overview is given of the state of the art in the field. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. Researchers, PhD and masters level students in numerical analysis, scientific computing and related fields such as partial differential equations will find this volume useful, as will engineers working in numerical modeling and simulations.

Finite Volume Methods for Hyperbolic Problems

Author : Randall J. LeVeque
Publisher : Cambridge University Press
ISBN 13 : 9780521009249
Total Pages : 582 pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis Finite Volume Methods for Hyperbolic Problems by : Randall J. LeVeque

Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

Author : Clément Cancès
Publisher : Springer
ISBN 13 : 3319573977
Total Pages : 476 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects by : Clément Cancès

Download or read book Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects written by Clément Cancès and published by Springer. This book was released on 2017-05-23 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume of the proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017) covers various topics including convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers comparing advanced numerical methods for Stokes and Navier–Stokes equations on a benchmark, as well as reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods, offering a comprehensive overview of the state of the art in the field. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asy mptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.

Finite Volume Methods for Hyperbolic Problems

Author : Randall LeVeque
Publisher :
ISBN 13 :
Total Pages : 578 pages
Book Rating : 4.:/5 (113 download)

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Book Synopsis Finite Volume Methods for Hyperbolic Problems by : Randall LeVeque

Download or read book Finite Volume Methods for Hyperbolic Problems written by Randall LeVeque and published by . This book was released on 2002 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and source code for all the examples presented can be found on the web, along with animations of many of the simulations. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.

Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

Author : Clément Cancès
Publisher : Springer
ISBN 13 : 9783319573960
Total Pages : 476 pages
Book Rating : 4.5/5 (739 download)

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Book Synopsis Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects by : Clément Cancès

Download or read book Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects written by Clément Cancès and published by Springer. This book was released on 2017-05-24 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume of the proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017) covers various topics including convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers comparing advanced numerical methods for Stokes and Navier–Stokes equations on a benchmark, as well as reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods, offering a comprehensive overview of the state of the art in the field. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.

MSCEIS 2019

Author : Lala Septem Riza
Publisher : European Alliance for Innovation
ISBN 13 : 1631902563
Total Pages : 1652 pages
Book Rating : 4.6/5 (319 download)

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Book Synopsis MSCEIS 2019 by : Lala Septem Riza

Download or read book MSCEIS 2019 written by Lala Septem Riza and published by European Alliance for Innovation. This book was released on 2020-07-30 with total page 1652 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 7th Mathematics, Science, and Computer Science Education International Seminar (MSCEIS) was held by the Faculty of Mathematics and Natural Science Education, Universitas Pendidikan Indonesia (UPI) and the collaboration with 12 University associated in Asosiasi MIPA LPTK Indonesia (AMLI) consisting of Universitas Negeri Semarang (UNNES), Universitas Pendidikan Indonesia (UPI), Universitas Negeri Yogyakarta (UNY), Universitas Negeri Malang (UM), Universitas Negeri Jakarta (UNJ), Universitas Negeri Medan (UNIMED), Universitas Negeri Padang (UNP), Universitas Negeri Manado (UNIMA), Universitas Negeri Makassar (UNM), Universitas Pendidikan Ganesha (UNDHIKSA), Universitas Negeri Gorontalo (UNG), and Universitas Negeri Surabaya (UNESA). In this year, MSCEIS 2019 takes the following theme: "Mathematics, Science, and Computer Science Education for Addressing Challenges and Implementations of Revolution-Industry 4.0" held on October 12, 2019 in Bandung, West Java, Indonesia.

The Hybrid High-Order Method for Polytopal Meshes

Author : Daniele Antonio Di Pietro
Publisher : Springer Nature
ISBN 13 : 3030372030
Total Pages : 552 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis The Hybrid High-Order Method for Polytopal Meshes by : Daniele Antonio Di Pietro

Download or read book The Hybrid High-Order Method for Polytopal Meshes written by Daniele Antonio Di Pietro and published by Springer Nature. This book was released on 2020-04-03 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an introduction to the design and analysis of Hybrid High-Order methods for diffusive problems, along with a panel of applications to advanced models in computational mechanics. Hybrid High-Order methods are new-generation numerical methods for partial differential equations with features that set them apart from traditional ones. These include: the support of polytopal meshes, including non-star-shaped elements and hanging nodes; the possibility of having arbitrary approximation orders in any space dimension; an enhanced compliance with the physics; and a reduced computational cost thanks to compact stencil and static condensation. The first part of the monograph lays the foundations of the method, considering linear scalar second-order models, including scalar diffusion – possibly heterogeneous and anisotropic – and diffusion-advection-reaction. The second part addresses applications to more complex models from the engineering sciences: non-linear Leray-Lions problems, elasticity, and incompressible fluid flows. This book is primarily intended for graduate students and researchers in applied mathematics and numerical analysis, who will find here valuable analysis tools of general scope.