Numerical Approximation Methods For Elliptic Boundary Value Problems
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Numerical Approximation Methods for Elliptic Boundary Value Problems
Author: Olaf Steinbach
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-12-22
This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. This includes the solvability, stability, and error analysis as well as efficient methods to solve the resulting linear systems. Applications are the potential equation, the system of linear elastostatics and the Stokes system. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. It is suitable for self study and exercises are included.
Numerical Approximation Methods for Elliptic Boundary Value Problems
Author: Olaf Steinbach
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-11-26
This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. This includes the solvability, stability, and error analysis as well as efficient methods to solve the resulting linear systems. Applications are the potential equation, the system of linear elastostatics and the Stokes system. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. It is suitable for self study and exercises are included.
Numerical Methods for Elliptic and Parabolic Partial Differential Equations
Author: Peter Knabner
language: en
Publisher: Springer Science & Business Media
Release Date: 2003-06-26
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.