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On solving operator equations by Galerkin's method with Gabor frame

Fatemeh Zarmehi ; Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
Ali Tavakoli ; Department of Mathematics, University of Mazandaran, Babolsar, Iran


Puni tekst: engleski pdf 2.573 Kb

str. 227-245

preuzimanja: 352

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Sažetak

This paper deals with solving boundary value problems by Galerkin's method in which we use Gabor frames as trial and test functions‎. ‎We show that‎, ‎the preconditioned stiffness matrix resulted by discretization is compressible and its sparsity‎ ‎pattern involves a bounded polyhedron structure‎. ‎Moreover‎, ‎we introduce an adaptive Richardson iterative method to‎ ‎solve the resulting system and we also show that by choosing a suitable smoothing parameter‎, ‎the method would be convergent‎.

Ključne riječi

Gabor frame; Operator equation; Compressed matrix

Hrčak ID:

198691

URI

https://hrcak.srce.hr/198691

Datum izdavanja:

7.11.2018.

Posjeta: 708 *