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Adaptive Frame Algorithms for Elliptic Operator Equations
Author(s) -
Dahlke Stephan,
Fornasier Massimo,
Raasch Thorsten
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510356
Subject(s) - operator (biology) , mathematics , frame (networking) , elliptic operator , semi elliptic operator , transformation (genetics) , algorithm , linear map , mathematical analysis , computer science , pure mathematics , differential operator , telecommunications , biochemistry , chemistry , repressor , transcription factor , gene
We discuss the use of Gelfand frames for the adaptive numerical solution of linear elliptic operator equations. After a transformation into an equivalent infinite–dimensional system Lu = f in frame coordinates, the operator equation can be solved within a prescribed target accuracy by approximate Richardson or gradient iteration schemes. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)