Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations

Owe Axelsson, János Karátson

Research output: Book/ReportBook

Abstract

The goal of this book is to highlight some central areas in current research on the numerical solution of elliptic problems. Mathematical models involving elliptic partial differential equations arise in a variety of real-life problems in science and engineering. Besides phenomena fully described by an elliptic equation, also time-dependent problems describing various evolutionary processes often lead to elliptic problems as subproblems arising in the course of the solution procedure. Furthermore, saddle-point problems of Stokes type, which are not elliptic in a strict sense, can be considered elliptic in a wider sense, being stationary problems that can be reduced to coercivity via the Schur complement operator. These facts reinforce the fundamental role of elliptic problems and their efficient numerical solution.

Original languageEnglish
PublisherBentham Science Publishers Ltd.
ISBN (Print)9781608056101
DOIs
Publication statusPublished - Dec 1 2011

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ASJC Scopus subject areas

  • Mathematics(all)

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