Meshfree Methods For Partial Differential Equations Ii

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Meshfree Methods for Partial Differential Equations II

Author : Michael Griebel
Publisher : Springer Science & Business Media
ISBN 13 : 354027099X
Total Pages : 307 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations II by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations II written by Michael Griebel and published by Springer Science & Business Media. This book was released on 2006-09-21 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the papers from the proceedings of the Second International Workshop on Meshfree Methods held in September 2003 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this new and exciting area of interdisciplinary research and to present recent advances and results in this field.

Meshfree Methods for Partial Differential Equations II

Author : Michael Griebel
Publisher : Springer
ISBN 13 : 9783540803751
Total Pages : 311 pages
Book Rating : 4.8/5 (37 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations II by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations II written by Michael Griebel and published by Springer. This book was released on 2009-09-02 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Meshfree Methods for Partial Differential Equations

Author : Michael Griebel
Publisher : Springer Science & Business Media
ISBN 13 : 3642561039
Total Pages : 468 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations written by Michael Griebel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meshfree methods for the solution of partial differential equations gained much attention in recent years, not only in the engineering but also in the mathematics community. One of the reasons for this development is the fact that meshfree discretizations and particle models are often better suited to cope with geometric changes of the domain of interest, e.g. free surfaces and large deformations, than classical discretization techniques such as finite differences, finite elements or finite volumes. Another obvious advantage of meshfree discretizations is their independence of a mesh so that the costs of mesh generation are eliminated. Also, the treatment of time-dependent PDEs from a Lagrangian point of view and the coupling of particle models and continuous models gained enormous interest in recent years from a theoretical as well as from a practial point of view. This volume consists of articles which address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM etc.) and their application in applied mathematics, physics and engineering.

Meshfree Methods for Partial Differential Equations II

Author : Michael Griebel
Publisher : Springer
ISBN 13 : 9783540230267
Total Pages : 0 pages
Book Rating : 4.2/5 (32 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations II by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations II written by Michael Griebel and published by Springer. This book was released on 2004-12-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the papers from the proceedings of the Second International Workshop on Meshfree Methods held in September 2003 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this new and exciting area of interdisciplinary research and to present recent advances and results in this field.

Meshfree Methods for Partial Differential Equations IV

Author : Michael Griebel
Publisher : Springer Science & Business Media
ISBN 13 : 354079994X
Total Pages : 404 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations IV by : Michael Griebel

Meshfree Methods for Partial Differential Equations VIII

Author : Michael Griebel
Publisher : Springer
ISBN 13 : 3319519549
Total Pages : 240 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations VIII by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations VIII written by Michael Griebel and published by Springer. This book was released on 2017-04-05 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been substantial developments in meshfree methods, particle methods, and generalized finite element methods since the mid 1990s. The growing interest in these methods is in part due to the fact that they offer extremely flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods have a number of advantageous features that are especially attractive when dealing with multiscale phenomena: A-priori knowledge about the solution’s particular local behavior can easily be introduced into the meshfree approximation space, and coarse scale approximations can be seamlessly refined by adding fine scale information. However, the implementation of meshfree methods and their parallelization also requires special attention, for instance with respect to numerical integration.

Meshfree Methods for Partial Differential Equations V

Author : Michael Griebel
Publisher : Springer Science & Business Media
ISBN 13 : 3642162290
Total Pages : 271 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations V by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations V written by Michael Griebel and published by Springer Science & Business Media. This book was released on 2010-11-04 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is an extremely active research field, both in the mathematics and engineering communities. Meshfree methods are becoming increasingly mainstream in various applications. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the papers from the proceedings of the Fifth International Workshop on Meshfree Methods, held in Bonn in August 2009. The articles address the different meshfree methods and their use in applied mathematics, physics and engineering. The volume is intended to foster this highly active and exciting area of interdisciplinary research and to present recent advances and findings in this field.

Meshfree Methods for Partial Differential Equations VII

Author : Michael Griebel
Publisher : Springer
ISBN 13 : 3319068989
Total Pages : 323 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations VII by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations VII written by Michael Griebel and published by Springer. This book was released on 2014-12-02 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meshfree methods, particle methods, and generalized finite element methods have witnessed substantial development since the mid 1990s. The growing interest in these methods is due in part to the fact that they are extremely flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods offer a number of advantageous features which are especially attractive when dealing with multiscale phenomena: a priori knowledge about particular local behavior of the solution can easily be introduced in the meshfree approximation space, and coarse-scale approximations can be seamlessly refined with fine-scale information. This volume collects selected papers presented at the Seventh International Workshop on Meshfree Methods, held in Bonn, Germany in September 2013. They address various aspects of this highly dynamic research field and cover topics from applied mathematics, physics and engineering.

Meshfree Methods for Partial Differential Equations VI

Author : Michael Griebel
Publisher : Springer Science & Business Media
ISBN 13 : 3642329799
Total Pages : 243 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations VI by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations VI written by Michael Griebel and published by Springer Science & Business Media. This book was released on 2012-12-16 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meshfree methods are a modern alternative to classical mesh-based discretization techniques such as finite differences or finite element methods. Especially in a time-dependent setting or in the treatment of problems with strongly singular solutions their independence of a mesh makes these methods highly attractive. This volume collects selected papers presented at the Sixth International Workshop on Meshfree Methods held in Bonn, Germany in October 2011. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering.

Meshfree Methods for Partial Differential Equations III

Author : Michael Griebel
Publisher : Springer Science & Business Media
ISBN 13 : 3540462228
Total Pages : 311 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations III by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations III written by Michael Griebel and published by Springer Science & Business Media. This book was released on 2007-07-18 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meshfree methods for the numerical solution of partial differential equations are becoming more and more mainstream in many areas of applications. This volume represents the state-of-the-art in meshfree methods. It consists of articles which address the different meshfree techniques, their mathematical properties and their application in applied mathematics, physics and engineering.

Meshfree Methods for Partial Differential Equations IX

Author : Michael Griebel
Publisher : Springer
ISBN 13 : 3030151190
Total Pages : 206 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations IX by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations IX written by Michael Griebel and published by Springer. This book was released on 2019-06-19 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering. The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. While the fundamental theory of meshfree methods has been developed and considerable advances of the various methods have been made, many challenges in the mathematical analysis and practical implementation of meshfree methods remain. This symposium aims to promote collaboration among engineers, mathematicians, and computer scientists and industrial researchers to address the development, mathematical analysis, and application of meshfree and particle methods especially to multiscale phenomena. It continues the 2-year-cycled Workshops on Meshfree Methods for Partial Differential Equations.

Meshfree Methods for Partial Differential Equations

Author : Michael Griebel
Publisher : Springer
ISBN 13 : 9783540438915
Total Pages : 471 pages
Book Rating : 4.4/5 (389 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations written by Michael Griebel and published by Springer. This book was released on 2002-09-18 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meshfree methods for the solution of partial differential equations gained much attention in recent years, not only in the engineering but also in the mathematics community. One of the reasons for this development is the fact that meshfree discretizations and particle models are often better suited to cope with geometric changes of the domain of interest, e.g. free surfaces and large deformations, than classical discretization techniques such as finite differences, finite elements or finite volumes. Another obvious advantage of meshfree discretizations is their independence of a mesh so that the costs of mesh generation are eliminated. Also, the treatment of time-dependent PDEs from a Lagrangian point of view and the coupling of particle models and continuous models gained enormous interest in recent years from a theoretical as well as from a practial point of view. This volume consists of articles which address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM etc.) and their application in applied mathematics, physics and engineering.

Meshfree Methods for Partial Differential Equations IV

Author : Michael Griebel
Publisher : Springer Science & Business Media
ISBN 13 : 3540799931
Total Pages : 404 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations IV by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations IV written by Michael Griebel and published by Springer Science & Business Media. This book was released on 2008-10-10 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the proceedings papers of the Fourth International Workshop on Meshfree Methods held in September 2007 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this very active and exciting area of interdisciplinary research and to present recent advances and results in this field.

Meshfree Methods for Partial Differential Equations IX

Author : Michael Griebel
Publisher :
ISBN 13 : 9783030151201
Total Pages : pages
Book Rating : 4.1/5 (512 download)

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Book Synopsis Meshfree Methods for Partial Differential Equations IX by : Michael Griebel

Download or read book Meshfree Methods for Partial Differential Equations IX written by Michael Griebel and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering. The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. While the fundamental theory of meshfree methods has been developed and considerable advances of the various methods have been made, many challenges in the mathematical analysis and practical implementation of meshfree methods remain. This symposium aims to promote collaboration among engineers, mathematicians, and computer scientists and industrial researchers to address the development, mathematical analysis, and application of meshfree and particle methods especially to multiscale phenomena. It continues the 2-year-cycled Workshops on Meshfree Methods for Partial Differential Equations.

Meshfree and Particle Methods

Author : Ted Belytschko
Publisher : John Wiley & Sons
ISBN 13 : 1119811139
Total Pages : 509 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Meshfree and Particle Methods by : Ted Belytschko

Download or read book Meshfree and Particle Methods written by Ted Belytschko and published by John Wiley & Sons. This book was released on 2023-12-13 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meshfree and Particle Methods Provides thorough coverage of essential concepts and state-of-the-art developments in the field Meshfree and Particle Methods is the first book of its kind to combine comprehensive, up-to-date information on the fundamental theories and applications of meshfree methods with systematic guidance on practical coding implementation. Broad in scope and content, this unique volume provides readers with the knowledge necessary to perform research and solve challenging problems in nearly all fields of science and engineering using meshfree computational techniques. The authors provide detailed descriptions of essential issues in meshfree methods, as well as specific techniques to address them, while discussing a wide range of subjects and use cases. Topics include approximations in meshfree methods, nonlinear meshfree methods, essential boundary condition enforcement, quadrature in meshfree methods, strong form collocation methods, and more. Throughout the book, topics are integrated with descriptions of computer implementation and an open-source code (with a dedicated chapter for users) to illustrate the connection between the formulations discussed in the text and their real-world implementation and application. This authoritative resource: Explains the fundamentals of meshfree methods, their constructions, and their unique capabilities as compared to traditional methods Features an overview of the open-source meshfree code RKPM2D, including code and numerical examples Describes all the variational concepts required to solve scientific and engineering problems using meshfree methods such as Nitsche’s method and the Lagrange multiplier method Includes comprehensive reviews of essential boundary condition enforcement, quadrature in meshfree methods, and nonlinear aspects of meshfree analysis Discusses other Galerkin meshfree methods, strong form meshfree methods, and their comparisons Meshfree and Particle Methods: Fundamentals and Applications is the perfect introduction to meshfree methods for upper-level students in advanced numerical analysis courses, and is an invaluable reference for professionals in mechanical, aerospace, civil, and structural engineering, and related fields, who want to understand and apply these concepts directly, or effectively use commercial and other production meshfree and particle codes in their work.

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014

Author : Robert M. Kirby
Publisher : Springer
ISBN 13 : 3319198009
Total Pages : 530 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 by : Robert M. Kirby

Download or read book Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 written by Robert M. Kirby and published by Springer. This book was released on 2015-11-26 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2014), and provides an overview of the depth and breadth of the activities within this important research area. The carefully reviewed selection of papers will provide the reader with a snapshot of the state-of-the-art and help initiate new research directions through the extensive biography.

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018

Author : Spencer J. Sherwin
Publisher : Springer Nature
ISBN 13 : 3030396479
Total Pages : 658 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 by : Spencer J. Sherwin

Download or read book Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 written by Spencer J. Sherwin and published by Springer Nature. This book was released on 2020-08-11 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book features a selection of high-quality papers from the presentations at the International Conference on Spectral and High-Order Methods 2018, offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions.