Pulsating Spectral Element Methods for Hyperbolic Problems

Name: Pulsating Spectral Element Methods for Hyperbolic Problems
Brand: VDM Verlag
SKU: 9783639325188
Price: 205.45 PLN
Availability: InStock

Hyperbolic Problems and Domain Decomposition Method

Autor: Subir Lamba, Pravir Dutt

Język:

Oprawa: Miękka

Wydawca: VDM Verlag

Dostępność: Na zamówienie

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205.45 zł

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

Informacje o książce

Autor

Subir Lamba, Pravir Dutt

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2011

strony

108

EAN

9783639325188

ISBN

3639325184

Enbook ID

06839294

Wydawca

VDM Verlag

Waga

168

Wymiary

152 x 229 x 7

Pełny opis

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).

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Pulsating Spectral Element Methods for Hyperbolic Problems

Hyperbolic Problems and Domain Decomposition Method

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