Error estimation with guaranteed accuracy of finite element method in nonconvex polygonal domains

by: Nobito Yamamoto, Keisuke Hayakawa

Journal of Computational and Applied Mathematics, Vol. 159, No. 1. (1 October 2003), pp. 173-183.

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摘要

A new method to estimate errors of the finite element method (FEM) for nonconvex polygonal domain is proposed. It gives mathematically rigorous upper bounds for the errors using calculations with guaranteed accuracy. Numerical examples are shown and their orders concerning mesh sizes are compared with theoretical orders.

@article{citeulike:1151177, abstract = {A new method to estimate errors of the finite element method (FEM) for nonconvex polygonal domain is proposed. It gives mathematically rigorous upper bounds for the errors using calculations with guaranteed accuracy. Numerical examples are shown and their orders concerning mesh sizes are compared with theoretical orders.}, author = {Yamamoto, Nobito and Hayakawa, Keisuke }, booktitle = {6th Japan-China Joint Seminar on Numerical Mathematics; In Search for the Frontier of Computational and Applied Mathematics toward the 21st Century}, citeulike-article-id = {1151177}, doi = {http://dx.doi.org/10.1016/S0377-0427(03)00569-7}, journal = {Journal of Computational and Applied Mathematics}, keywords = {constant, error}, month = {October}, number = {1}, pages = {173--183}, posted-at = {2007-03-09 13:26:32}, priority = {4}, title = {Error estimation with guaranteed accuracy of finite element method in nonconvex polygonal domains}, url = {http://dx.doi.org/10.1016/S0377-0427(03)00569-7}, volume = {159}, year = {2003} }

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TY - JOUR ID - citeulike:1151177 L3 - citeulike-article-id:1151177 N2 - A new method to estimate errors of the finite element method (FEM) for nonconvex polygonal domain is proposed. It gives mathematically rigorous upper bounds for the errors using calculations with guaranteed accuracy. Numerical examples are shown and their orders concerning mesh sizes are compared with theoretical orders. IS - 1 JF - Journal of Computational and Applied Mathematics EP - 183 TI - Error estimation with guaranteed accuracy of finite element method in nonconvex polygonal domains VL - 159 T2 - 6th Japan-China Joint Seminar on Numerical Mathematics; In Search for the Frontier of Computational and Applied Mathematics toward the 21st Century SP - 173 KW - constant KW - error AU - Yamamoto, Nobito AU - Hayakawa, Keisuke PY - 2003/10/01/ UR - http://dx.doi.org/10.1016/S0377-0427(03)00569-7 ER -

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