کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
520767 867735 2012 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Non-uniform order mixed FEM approximation: Implementation, post-processing, computable error bound and adaptivity
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Non-uniform order mixed FEM approximation: Implementation, post-processing, computable error bound and adaptivity
چکیده انگلیسی

The present work provides a straightforward and focused set of tools and corresponding theoretical support for the implementation of an adaptive high order finite element code with guaranteed error control for the approximation of elliptic problems in mixed form. The work contains: details of the discretisation using non-uniform order mixed finite elements of arbitrarily high order; a new local post-processing scheme for the primary variable; the use of the post-processing scheme in the derivation of new, fully computable bounds for the error in the flux variable; and, an hp-adaptive refinement strategy based on the a posteriori error estimator. Numerical examples are presented illustrating the results obtained when the procedure is applied to a challenging problem involving a ten-pole electric motor with singularities arising from both geometric features and discontinuities in material properties. The procedure is shown to be capable of producing high accuracy numerical approximations with relatively modest numbers of unknowns.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 231, Issue 2, 20 January 2012, Pages 436–453
نویسندگان
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