Numerical Solution of Partial Differential Equations by the Finite Element Method
Published on 27. March 2009
Book
Paperback/Softback
288 pages
978-0-486-46900-3 (ISBN)
Description
An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties. 1987 edition.
More details
Language
English
Place of publication
United States
Dimensions
Height: 231 mm
Width: 155 mm
Thickness: 15 mm
Weight
410 gr
ISBN-13
978-0-486-46900-3 (9780486469003)
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Schweitzer Classification
Person
Claes Johnson is Professor of Applied Mathematics at the Royal Institute of Technology, Stockholm.
Content
Preface to the Dover Edition
Preface
Introduction
Introduction to FEM for elliptic problems
Abstract formulation of the finite element method for elliptic problems
Some finite element spaces
Approximation theory for FEM. Error estimates for elliptic problems
Some applications to elliptic problems
Direct methods for solving linear systems of equations
Minimization algorithms. Iterative methods
FEM for parabolic problems
Hyperbolic problems
Boundary element methods
Mixed finite element methods
Curved elements and numerical integration
References
Index
Preface
Introduction
Introduction to FEM for elliptic problems
Abstract formulation of the finite element method for elliptic problems
Some finite element spaces
Approximation theory for FEM. Error estimates for elliptic problems
Some applications to elliptic problems
Direct methods for solving linear systems of equations
Minimization algorithms. Iterative methods
FEM for parabolic problems
Hyperbolic problems
Boundary element methods
Mixed finite element methods
Curved elements and numerical integration
References
Index