Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations

  title={Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations},
  author={Xuefeng Liu and Mitsuhiro T. Nakao and Chun'guang You and Shin'ichi Oishi},
For the Stokes equation over 2D and 3D domains, explicit a posteriori and a priori error estimation are novelly developed for the finite element solution. The difficulty in handling the divergence-free condition of the Stokes equation is solved by utilizing the extended hypercircle method along with the Scott-Vogelius finite element scheme. Since all terms in the error estimation have explicit values, by further applying the interval arithmetic and verified computing algorithms, the computed… 
1 Citations
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  • Computer Science, Mathematics
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  • 2022
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