Adaptive Frame Algorithms for Elliptic Operator Equations | Zendy

Dahlke Stephan | Zendy; Fornasier Massimo | Zendy; Raasch Thorsten | Zendy

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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)

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