Corpus ID: 119710961

Methods of arbitrary optimal order with tetrahedral finite-element meshes forming polyhedral approximations of curved domains

@article{Ruas2017MethodsOA,
  title={Methods of arbitrary optimal order with tetrahedral finite-element meshes forming polyhedral approximations of curved domains},
  author={V. Ruas},
  journal={arXiv: Numerical Analysis},
  year={2017}
}
  • V. Ruas
  • Published 2017
  • Mathematics, Computer Science
  • arXiv: Numerical Analysis
In recent papers the author introduced a simple alternative to isoparametric finite elements of the n-simplex type, to enhance the accuracy of approximations of second-order boundary value problems with Dirichlet conditions, posed in smooth curved domains. This technique is based upon trial-functions consisting of piecewise polynomials defined on straight-edged triangular or tetrahedral meshes, interpolating the Dirichlet boundary conditions at points of the true boundary. In contrast the test… Expand

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  • Mathematics, Computer Science
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