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 eXtended Finite Element Method  We prove the mathematical optimal convergence for these approaches and we perform numerical experiments validating the theoretical study. We introduce
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eXtended Finite Element Method (XFEM). Mathematical and Numerical Study for Cracked Domains Computations

автор Elie C. издательство Книга по Требованию Прочие виды транспорта
Cтраниц 120        мягкая обложка       
Аннотация:We prove the mathematical optimal convergence for these approaches and we perform numerical experiments validating the theoretical study. We introduce in the first part of this book, two XFEM variants (XFEM with a cutoff function and Integral Matching XFEM) allowing to obtain optimal convergence results for XFEM with a reduced computational cost. The second part presents two other XFEM methods (Spider XFEM and Reduced Basis XFEM) extending the application field of XFEM: they allow the use of XFEM when the singularity at the crack tip is partially or completely unknown, or even complicated. This work introduces XFEM variants that overcome these limitations and gives the first mathematical results for this type of methods. It allows modeling cracks and crack growth using a mesh independent of the crack path. Also, the use of XFEM is limited to case where the singularity expansion at the crack tip is known. The eXtended Finite Element method (XFEM) was introduced to overcome these difficulties. When modeling cracked domains, the classical FEM shows many drawbacks. Meanwhile, the optimal XFEM (with surface enrichment) is rather expensive.
Автор: Elie C.
Издательство: Книга по Требованию
Год:2009
Цена:
2007 руб
Нет в наличии
Поиск: eXtended Finite Element Method (XFEM). Mathematical and Numerical Study for Cracked Domains Computations


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