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Issue 4
Nov.  2011
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DENG Yi-jun. Maximum-norm superapproximations for tensor-product quadratic rectangular finite elements in 4D[J]. Journal of East China Normal University (Natural Sciences), 2011, (4): 135-141.
Citation: DENG Yi-jun. Maximum-norm superapproximations for tensor-product quadratic rectangular finite elements in 4D[J]. Journal of East China Normal University (Natural Sciences), 2011, (4): 135-141.

Maximum-norm superapproximations for tensor-product quadratic rectangular finite elements in 4D

  • Received Date: 2010-11-01
  • Rev Recd Date: 2011-02-01
  • Publish Date: 2011-07-05
  • For Dirichlet boundary value problems of Poisson equations, an interpolation operator of projection type in 4D was established. Then by using this operator, weak estimates for tensor-product quadratic rectangular finite elements over regular partitions of a domain were obtained. Based on the obtained results and the estimates for the four-dimensional discrete Green's function, some highly accuracy results of the maximum-norm superapproximations of finite elements were derived.
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