Derivative superconvergent points in finite element solutions of Poisson's equation for the serendipity and intermediate families - a theoretical justification
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چکیده
منابع مشابه
Derivative superconvergent points in finite element solutions of Poisson's equation for the serendipity and intermediate families - a theoretical justification
Finite element derivative superconvergent points for the Poisson equation under local rectangular mesh (in the two dimensional case) and local brick mesh (in the three dimensional situation) are investigated. All superconvergent points for the finite element space of any order that is contained in the tensor-product space and contains the intermediate family can be predicted. In case of the ser...
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Finite element derivative superconvergent points for harmonic functions under local rectangular mesh are investigated. All superconvergent points for the finite element space of any order that is contained in the tensorproduct space and contains the intermediate family can be predicted. In the case of the serendipity family, results are given for finite element spaces of order below 6. The resu...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1998
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-98-00942-9