Title: Mathematical aspects of finite elements in partial differential equations: Proceedings of a symposium conducted by the Mathematics Research Center, . University of Wisconsin--Madison ; no. 33)
Publisher: Academic Press
Publication Date: 1974
Language: English
ISBN 10: 0122083504
ISBN 13: 9780122083501
Binding: Hardcover
Condition: Good
Dust Jacket Condition: No Jacket
Weight: 1.6 pounds

About this title

Synopsis

Mathematical Aspects of Finite Elements in Partial Differential Equations addresses the mathematical questions raised by the use of finite elements in the numerical solution of partial differential equations. This book covers a variety of topics, including finite element method, hyperbolic partial differential equation, and problems with interfaces.Organized into 13 chapters, this book begins with an overview of the class of finite element subspaces with numerical examples. This text then presents as models the Dirichlet problem for the potential and bipotential operator and discusses the question of non-conforming elements using the classical Ritz- and least-squares-method. Other chapters consider some error estimates for the Galerkin problem by such energy considerations. This book discusses as well the spatial discretization of problem and presents the Galerkin method for ordinary differential equations using polynomials of degree k. The final chapter deals with the continuous-time Galerkin method for the heat equation.This book is a valuable resource for mathematicians.

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