A Moving Mesh Finite Element Method With Local Refinement For Parabolic Partial Differential Equations
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A Moving Mesh Finite Element Method With Local Refinement For Parabolic Partial Differential Equations
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Author : Slimane Adjerid
language : en
Publisher:
Release Date : 1985
A Moving Mesh Finite Element Method With Local Refinement For Parabolic Partial Differential Equations written by Slimane Adjerid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
An Adaptive Mesh Moving And Local Refinement Method For Time Dependent Partial Differential Equations
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Author :
language : en
Publisher:
Release Date : 1990
An Adaptive Mesh Moving And Local Refinement Method For Time Dependent Partial Differential Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
We discuss mesh-moving, static mesh regeneration, and local mesh-refinement algorithms that can be used with a finite difference or finite element scheme to solve initial boundary value problems for vector systems of time-dependent partial differential equations in two space dimensions and time. A coarse based mesh of quadrilateral cells is moved by an algebraic mesh-movement function so as to follow and isolate spatially distinct phenomena. The local mesh-refinement method recursively divides the time step and spatial cells of the moving base mesh in regions where error indicators are high until a prescribed tolerance is satisfied. The static mesh-regeneration procedure is used to create a new base mesh when the existing one becomes to distorted. The adaptive methods have been combined with a MacCormack finite difference scheme for hyperbolic systems and an error indicator based upon estimates of the local discretization error obtained by Richardson extrapolation. Results are presented for several computational examples.
Adaptive Methods For Partial Differential Equations
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Author : Ivo Babushka
language : en
Publisher: SIAM
Release Date : 1989-01-01
Adaptive Methods For Partial Differential Equations written by Ivo Babushka and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Mathematics categories.
"Proceedings of the Workshop on Adaptive Computational Methods for Partial Differential Equations, Rensselaer Polytechnic Institute, October 13-15, 1988"--T.p. verso.
Superconvergence In Galerkin Finite Element Methods
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Author : Lars Wahlbin
language : en
Publisher: Springer
Release Date : 2006-11-14
Superconvergence In Galerkin Finite Element Methods written by Lars Wahlbin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This book is essentially a set of lecture notes from a graduate seminar given at Cornell in Spring 1994. It treats basic mathematical theory for superconvergence in the context of second order elliptic problems. It is aimed at graduate students and researchers. The necessary technical tools are developed in the text although sometimes long proofs are merely referenced. The book gives a rather complete overview of the field of superconvergence (in time-independent problems). It is the first text with such a scope. It includes a very complete and up-to-date list of references.
Numerical Methods For Elliptic And Parabolic Partial Differential Equations
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Author : Peter Knabner
language : en
Publisher: Springer Nature
Release Date : 2021-11-19
Numerical Methods For Elliptic And Parabolic Partial Differential Equations written by Peter Knabner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-19 with Mathematics categories.
This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises.
Adaptive Moving Mesh Methods
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Author : Weizhang Huang
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-26
Adaptive Moving Mesh Methods written by Weizhang Huang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-26 with Mathematics categories.
This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems. Many explicit examples with computed figures illustrate the various methods and the effects of parameter choices for those methods. Graduate students, researchers and practitioners working in this area will benefit from this book.
A Moving Finite Element Method For Time Dependent Partial Differential Equations With Error Estimation And Refinement
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Author : S. Adjerid
language : en
Publisher:
Release Date : 1984
A Moving Finite Element Method For Time Dependent Partial Differential Equations With Error Estimation And Refinement written by S. Adjerid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
The authors discuss a moving finite element method for solving vector systems of time dependent partial differential equations in one space dimension. The mesh is moved so as to equidistribute the spatial component of the discretization error in H1. They present a method of estimating this error by using p-hierarchic finite elements. The error estimate is also used in an adaptive mesh refinement procedure to give an algorithm that combines mesh movement and refinement. The authors discretize the partial differential equations in space using a Galerkin procedure with piecewise linear elements to approximate the solution and quadratic elements to estimate the error. A system of ordinary differential equations for mesh velocities are used to control element motions. The authors use existing software for stiff ordinary differential equations for the temporal integration of the solution, the error estimate, and the mesh motion. Computational results using a code based on this method are presented for several examples.
Modeling Mesh Generation And Adaptive Numerical Methods For Partial Differential Equations
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Author : Ivo Babuska
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Modeling Mesh Generation And Adaptive Numerical Methods For Partial Differential Equations written by Ivo Babuska and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.
An Adaptive Method With Mesh Moving And Local Mesh Refinement For Time Dependent Partial Differential Equations
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Author : David C. Arney
language : en
Publisher:
Release Date : 1988
An Adaptive Method With Mesh Moving And Local Mesh Refinement For Time Dependent Partial Differential Equations written by David C. Arney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
The authors discuss mesh moving, static mesh regeneration, and local mesh refinement algorithms that can be used with a finite difference or finite element scheme to solve initial-boundary value problems for vector systems of time-dependent partial differential equations in two-space dimensions and time. A coarse base mesh of quadrilateral cells is moved by an algebraic mesh movement function so that it may follow and isolate spatially distinct phenomena. The local mesh refinement method recursively divides the time step and spatial cells of the moving base mesh in regions were error indicators are high until a prescribed tolerance is satisfied. The static mesh regeneration procedure is used to create a new base mesh when the existing ones become too distorted. In order to test our adaptive algorithms, the authors implemented them in a system code with an initial mesh generator, a MacCormack finite difference scheme for hyperbolic systems, and an error indicator based upon estimates of the local discretization error obtained by Richardson extrapolation. Results are presented for several computational examples. (kr).
Adaptive Computational Methods For Partial Differential Equations
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Author : Ivo Babushka
language : en
Publisher: SIAM
Release Date : 1983-01-01
Adaptive Computational Methods For Partial Differential Equations written by Ivo Babushka and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-01-01 with Mathematics categories.
List of participants; Elliptic equations; Parabolic equations; Hyperbolic equations.