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 Pulsating Spectral Element Methods for Hyperbolic Problems. Hyperbolic Problems and Domain Decomposition Method
Наименование:

Pulsating Spectral Element Methods for Hyperbolic Problems. Hyperbolic Problems and Domain Decomposition Method

автор Subir L. издательство Книга по Требованию Математический анализ. Кратные и криволинейные интегралы. Задачи, решения
Cтраниц 108        мягкая обложка       
Аннотация: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. If however the boundary moves faster than the fastest wave associated with the hyperbolic equation then the problem becomes well posed. The normal equations are solved by Preconditioned Conjugate Gradient Method (PCGM). 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 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 examine the problem of solving hyperbolic initial boundary value problems in several space dimensions on parallel computers using domain decomposition. We use the spectral element method to obtain the numerical solution of the problem. Imposing continuity conditions across an inter-domain boundary in several space dimensions is in general not well posed.
Автор: Subir L.
Издательство: Книга по Требованию
Год:2011
Цена:
1898 руб
Нет в наличии
Поиск: Pulsating Spectral Element Methods for Hyperbolic Problems. Hyperbolic Problems and Domain Decomposition Method
НОВЫЙ ГОД СИМВОЛ 2013 ГОДАУКРАШЕНИЯ
КАРНАВАЛ НА НОВЫЙ ГОД РАСПРОДАЖА
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