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Pulsating Spectral Element Methods for Hyperbolic Problems

Name: Pulsating Spectral Element Methods for Hyperbolic Problems
Brand: VDM Verlag
SKU: 06839294
Price: 17720 HUF
Availability: InStock
Author: Subir Lamba
ISBN: 9783639325188

Hyperbolic Problems and Domain Decomposition Method

Subir Lamba

Pravir Dutt

Language

English

Book Paperback

Libristo code: 06839294

Publishers VDM Verlag, February 2011

We examine the problem of solving hyperbolic initial boundary value problems in several space dimens... Full description

Libristo code: 06839294

121 b

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We examine the problem of solving hyperbolic initial boundary value problems in several space dimensions on parallel computers using domain decomposition. Imposing continuity conditions across an inter-domain boundary in several space dimensions is in general not well posed. If however the boundary moves faster than the fastest wave associated with the hyperbolic equation then the problem becomes well posed. We minimize a function which is the sum of squares of the L2 norm of the residuals in the partial differential equation, initial and boundary conditions and a penalty term which is the sum of squares of the L2 norm of the jumps in the function across inter-domain boundaries. The inter-domain boundaries are made to move back and forth at alternate time steps with sufficiently high speed to make the problem well posed. The alternating Schwarz waveform Relaxation technique experiences difficulties if the characteristics change sign at inter-element boundaries or even in the interior of the domains. We use the spectral element method to obtain the numerical solution of the problem. The normal equations are solved by Preconditioned Conjugate Gradient Method (PCGM).