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Analysis Of The Streamline Diffusion Finite Element Method On A Shishkin Mesh For A Convection Diffusion Problem With Exponential Layers
Download Analysis Of The Streamline Diffusion Finite Element Method On A Shishkin Mesh For A Convection Diffusion Problem With Exponential Layers full books in PDF, epub, and Kindle. Read online Analysis Of The Streamline Diffusion Finite Element Method On A Shishkin Mesh For A Convection Diffusion Problem With Exponential Layers ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Analysis of the Streamline Diffusion Finite Element Method on a Shishkin Mesh for a Convection Diffusion Problem with Exponential Layers by : Martin Stynes
Download or read book Analysis of the Streamline Diffusion Finite Element Method on a Shishkin Mesh for a Convection Diffusion Problem with Exponential Layers written by Martin Stynes and published by . This book was released on 1998 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis of the Streamline-difussion Finite Element Method on a Shishkin Mesh for a Convection-diffusion Problem with Exponential Layers by : Martin Stynes
Download or read book Analysis of the Streamline-difussion Finite Element Method on a Shishkin Mesh for a Convection-diffusion Problem with Exponential Layers written by Martin Stynes and published by . This book was released on 1998 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analytical and Numerical Methods for Convection-dominated and Singularly Perturbed Problems by : Lubin Vulkov
Download or read book Analytical and Numerical Methods for Convection-dominated and Singularly Perturbed Problems written by Lubin Vulkov and published by Nova Publishers. This book was released on 2000 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the Proceedings of the Workshop on Analytical and Computational Methods for Convection-Dominated and Singularly Perturbed Problems, which took place in Lozenetz, Bulgaria, 27-31 August 1998. The workshop attracted about 50 participants from 12 countries. The volume includes 13 invited lectures and 19 contributed papers presented at the workshop and thus gives an overview of the latest developments in both the theory and applications of advanced numerical methods to problems having boundary and interior layers. There was an emphasis on experiences from the numerical analysis of such problems and on theoretical developments. The aim of the workshop was to provide an opportunity for scientists from the East and the West, who develop robust methods for singularly perturbed and related problems and also who apply these methods to real-life problems, to discuss recent achievements in this area and to exchange ideas with a view of possible research co-operation.
Book Synopsis Convection-Diffusion Problems: An Introduction to Their Analysis and Numerical Solution by : Martin Stynes
Download or read book Convection-Diffusion Problems: An Introduction to Their Analysis and Numerical Solution written by Martin Stynes and published by American Mathematical Soc.. This book was released on 2018-11-21 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many physical problems involve diffusive and convective (transport) processes. When diffusion dominates convection, standard numerical methods work satisfactorily. But when convection dominates diffusion, the standard methods become unstable, and special techniques are needed to compute accurate numerical approximations of the unknown solution. This convection-dominated regime is the focus of the book. After discussing at length the nature of solutions to convection-dominated convection-diffusion problems, the authors motivate and design numerical methods that are particularly suited to this class of problems. At first they examine finite-difference methods for two-point boundary value problems, as their analysis requires little theoretical background. Upwinding, artificial diffusion, uniformly convergent methods, and Shishkin meshes are some of the topics presented. Throughout, the authors are concerned with the accuracy of solutions when the diffusion coefficient is close to zero. Later in the book they concentrate on finite element methods for problems posed in one and two dimensions. This lucid yet thorough account of convection-dominated convection-diffusion problems and how to solve them numerically is meant for beginning graduate students, and it includes a large number of exercises. An up-to-date bibliography provides the reader with further reading.
Book Synopsis Convergence Properties of the Streamline Diffusion Finite Element Method on a Shishkin Mesh for Singularly Perturbed Elliptic Equations with Exponential Layers by : Lutz Tobiska
Download or read book Convergence Properties of the Streamline Diffusion Finite Element Method on a Shishkin Mesh for Singularly Perturbed Elliptic Equations with Exponential Layers written by Lutz Tobiska and published by . This book was released on 1998 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applied Mathematics, Modeling and Computer Simulation by : C.-H. Chen
Download or read book Applied Mathematics, Modeling and Computer Simulation written by C.-H. Chen and published by IOS Press. This book was released on 2024-01-19 with total page 1266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied mathematics, modelling, and computer simulation are central to many aspects of engineering and computer science, and continue to be of intrinsic importance to the development of modern technologies. This book presents the proceedings of AMMCS 2023, the 3rd International Conference on Applied Mathematics, Modeling and Computer Simulation, held on 12 and 13 August 2023 in Wuhan, China. The conference provided an ideal opportunity for scholars and researchers to communicate important recent developments in their areas of specialization to their colleagues, and to scientists in related disciplines. More than 250 submissions were received for the conference, of which 133 were selected for presentation at the conference and inclusion here after a thorough peer-review process. These range from the theoretical and conceptual to strongly pragmatic papers addressing industrial best practice, and cover topics such as mathematical modeling and application; engineering applications and scientific computations; and the simulation of intelligent systems. The book explores practical experiences and enlightening ideas, and will be of interest to researchers, practitioners, and to all those working in the fields of applied mathematics, modeling and computer simulation.
Book Synopsis Robust Numerical Methods for Singularly Perturbed Differential Equations by : Hans-Görg Roos
Download or read book Robust Numerical Methods for Singularly Perturbed Differential Equations written by Hans-Görg Roos and published by Springer Science & Business Media. This book was released on 2008-09-17 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition incorporates new developments in numerical methods for singularly perturbed differential equations, focusing on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics.
Book Synopsis Journal of the Society for Industrial and Applied Mathematics. Series B: Numerical Analysis by : Society for Industrial and Applied Mathematics
Download or read book Journal of the Society for Industrial and Applied Mathematics. Series B: Numerical Analysis written by Society for Industrial and Applied Mathematics and published by . This book was released on 2003-10 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Challenges in Scientific Computing - CISC 2002 by : Eberhard Bänsch
Download or read book Challenges in Scientific Computing - CISC 2002 written by Eberhard Bänsch and published by Springer Science & Business Media. This book was released on 2003 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of conference proceedings mainly concerned with the problem class of nonlinear transport/diffusion/reaction systems, chief amongst these being the Navier-Stokes equations, porous-media flow problems and semiconductor-device equations. Of particular interest are unsolved problems which challenge open questions from applications and assess the various numerous methods used to treat them. A fundamental aim is to raise the overall awareness of a broad range of topical issues in scientific computing and numerical analysis, including multispecies/multiphysics problems, discretisation methods for nonlinear systems, mesh generation, adaptivity, linear algebraic solvers and preconditioners, and portable parallelisation. nbsp;
Book Synopsis Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems by : Torsten Linß
Download or read book Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems written by Torsten Linß and published by Springer. This book was released on 2009-11-21 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on numerical methods for singular perturbation problems – in part- ular, stationary reaction-convection-diffusion problems exhibiting layer behaviour. More precisely, it is devoted to the construction and analysis of layer-adapted meshes underlying these numerical methods. Numerical methods for singularly perturbed differential equations have been studied since the early 1970s and the research frontier has been constantly - panding since. A comprehensive exposition of the state of the art in the analysis of numerical methods for singular perturbation problems is [141] which was p- lished in 2008. As that monograph covers a big variety of numerical methods, it only contains a rather short introduction to layer-adapted meshes, while the present book is exclusively dedicated to that subject. An early important contribution towards the optimisation of numerical methods by means of special meshes was made by N.S. Bakhvalov [18] in 1969. His paper spawned a lively discussion in the literature with a number of further meshes - ing proposed and applied to various singular perturbation problems. However, in the mid 1980s, this development stalled, but was enlivened again by G.I. Shishkin’s proposal of piecewise-equidistant meshes in the early 1990s [121,150]. Because of their very simple structure, they are often much easier to analyse than other meshes, although they give numerical approximations that are inferior to solutions on c- peting meshes. Shishkin meshes for numerous problems and numerical methods have been studied since and they are still very much in vogue.
Book Synopsis Acta Numerica 2005: Volume 14 by : Arieh Iserles
Download or read book Acta Numerica 2005: Volume 14 written by Arieh Iserles and published by Cambridge University Press. This book was released on 2005-06-30 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: A high-impact factor, prestigious annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.
Book Synopsis An Examination of Some Properties of the Streamline Diffusion Method by : William Joseph Semper
Download or read book An Examination of Some Properties of the Streamline Diffusion Method written by William Joseph Semper and published by . This book was released on 1988 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis of a Galerkin Finite Element Method on a Shishkin Mesh for a Linear Convection-diffusion Problem by : Torsten Linß
Download or read book Analysis of a Galerkin Finite Element Method on a Shishkin Mesh for a Linear Convection-diffusion Problem written by Torsten Linß and published by . This book was released on 1998 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Methods in Applied Mathematics by :
Download or read book Computational Methods in Applied Mathematics written by and published by . This book was released on 2003 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Journal of Numerical Mathematics by :
Download or read book Journal of Numerical Mathematics written by and published by . This book was released on 2002 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis of a Galerkin Finite Element Metho on a Bakhvalov-Shishkin Mesh for a Linear Convection-diffusion Problem by : Torsten Linß
Download or read book Analysis of a Galerkin Finite Element Metho on a Bakhvalov-Shishkin Mesh for a Linear Convection-diffusion Problem written by Torsten Linß and published by . This book was released on 1998 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Moving Mesh Finite Element Method for Time Dependent Convection-Diffusion Problems by : Matthew Maxwell McCoy
Download or read book Moving Mesh Finite Element Method for Time Dependent Convection-Diffusion Problems written by Matthew Maxwell McCoy and published by . This book was released on 2021 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: The moving mesh finite element method (MM-FEM) has been a significant force in numerically approximating solutions to differential equations that otherwise exhibit spurious, artificial oscillations. This is especially true for singularly perturbed convection-diffusion problems. In the presence of vanishing molecular diffusivity, MM- FEM may not suffice. The numerical method may exhibit under-diffusive properties and other methods need to be integrated into the classic Galerkin formulation. We implement the so-called streamline upwind Petrov-Galerkin method into the adaptive moving mesh method. In particular, we investigate the computation of so-called enhanced diffusivity for spatiotemporal periodic turbulent flows. We look at the case of Brownian tracer particles, i.e. negligible inertial effects. These types of passive advection-diffusion models are used in atmospheric models with turbulent diffusion, so-called Benard-advection cells, and porous materials, along with many other areas of science and engineering. As molecular diffusivity decreases, interior and boundary layers propagate along the streamlines. Once spurious oscillations are present, they too will propagate along the streamlines. Thus, specialized numerical methods are needed in order to resolve these areas of the domain where large gradients are present. The discrete maximum principle is also investigated for general anisotropic time dependent convection-diffusion equations. We obtain lower and upper bounds for time steps as well as obtain conditions on the mass and stiffness matrices resulting from the SUPG formulation. Our approach depends on two meshes and taking into consideration two diffusion matrices and applying metric intersection.
