SUPERCONVERGENCE OF TETRAHEDRAL QUADRATIC FINITE ELEMENTS
摘要
For a model elhptic boundary value problem we will prove that on strongly regular families of uniform tetrahedral partitions of a pohyhedral domain, the gradient of the quadratic finite element approximation is superclose to the gradient of the quadratic La-grange interpolant of the exact solution. This supercloseness will be used to construct a post-processing that increases the order of approximation to the gradient in the global L^2-norm。
引用本文(GB/T 7714)
JanBrandts, MichalKǐízek. SUPERCONVERGENCE OF TETRAHEDRAL QUADRATIC FINITE ELEMENTS[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2005.
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