Subspace Correction Methods for Linear Elasticity

Name: Subspace Correction Methods for Linear Elasticity
Brand: Sudwestdeutscher Verlag Fur Hochschulschriften AG
SKU: 9783838131030
Price: 72.42 EUR
Availability: InStock

Algebraic Multigrid & Subspace Corrections for almost incompressible Materials

Автор: Erwin Karer

Език:

Корици: С меки корици

Издател: Sudwestdeutscher Verlag Fur Hochschulschriften AG

Наличност: Налично при издателя, по поръчка

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72.42 € 141.65 лв

The monograph at hand deals with the numerical solution of the equations of linear elasticity. We fo...

Информация за книгата

Автор

Erwin Karer

Език

Английски език

Корици

Книга - С меки корици

Издадена

2012

страници

144

EAN

9783838131030

ISBN

3838131037

Enbook ID

06982928

Издател

Sudwestdeutscher Verlag Fur Hochschulschriften AG

Теглоt

222

Размери

152 x 229 x 9

Пълно описание

The monograph at hand deals with the numerical solution of the equations of linear elasticity. We focus on first order discretizations of those equations by means of linear finite elements. In order to solve the arising discrete problems efficiently we exploit the framework of subspace correction methods. First we present an overview of existing subspace correction methods. Later we introduce in detail a variant, namely algebraic multigrid based on computational molecules (AMGm), being specifically suitable for standard discretizations of the equations of linear elasticity. Since the standard linear discretization suffers from locking if the material becomes incompressible, we consider a varational formulation based on reduced integration using piecewise linear finite elements in a second part. This discretization can be shown to be stable in the incompressible limit. In order to solve the arising discrete problem efficiently we discuss a preconditioner based on subspace corrections. This preconditioner is based on a suitable splitting of the vector space. With proper numerical methods for the subproblems we are able to set up an efficient and robust preconditioner.

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Subspace Correction Methods for Linear Elasticity

Algebraic Multigrid & Subspace Corrections for almost incompressible Materials

Информация за книгата

Пълно описание

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Клиенти, които купиха тази книга, купиха също