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Numerical solution of variational inequalities by adaptive finite elements /
Franz-Theo Suttmeier describes a general approach to a posteriori error estimation and adaptive mesh design for finite element models where the solution is subjected to inequality constraints. This is an extension to variational inequalities of the so-called Dual-Weighted-Residual method (DWR method...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Wiesbaden :
Vieweg+Teubner Research,
©2008.
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| Edición: | 1st ed. |
| Colección: | Wiley-Teubner series, advances in numerical mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | Franz-Theo Suttmeier describes a general approach to a posteriori error estimation and adaptive mesh design for finite element models where the solution is subjected to inequality constraints. This is an extension to variational inequalities of the so-called Dual-Weighted-Residual method (DWR method) which is based on a variational formulation of the problem and uses global duality arguments for deriving weighted a posteriori error estimates with respect to arbitrary functionals of the error. In these estimates local residuals of the computed solution are multiplied by sensitivity factors which are obtained from a numerically computed dual solution. The resulting local error indicators are used in a feed-back process for generating economical meshes which are tailored according to the particular goal of the computation. This method is developed here for several model problems. Based on these examples, a general concept is proposed, which provides a systematic way of adaptive error control for problems stated in form of variational inequalities. |
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| Descripción Física: | 1 online resource (x, 161 pages) : illustrations (some color). |
| Público: | Students and researchers from the field of numerical mathematics, and users of adaptive finite element techniques. |
| Bibliografía: | Includes bibliographical references (pages 155-161). |
| ISBN: | 9783834895462 3834895466 3834806641 9783834806642 |