<p>We give a medius error analysis of a conforming discontinuous Galerkin method for solving the low-regularity Stokes equations. The same a priori error estimates are derived as those for the Stokes equations with the standard regularity. But the medius error analysis needs to introduce bubble-functions and continuous counterpart finite elements, as the low regularity does not control the discontinuity. Numerical tests are provided, confirming the theory.</p>

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A medius error analysis for a conforming discontinuous Galerkin method for the Stokes equations

  • Yuping Zeng,
  • Shangyou Zhang

摘要

We give a medius error analysis of a conforming discontinuous Galerkin method for solving the low-regularity Stokes equations. The same a priori error estimates are derived as those for the Stokes equations with the standard regularity. But the medius error analysis needs to introduce bubble-functions and continuous counterpart finite elements, as the low regularity does not control the discontinuity. Numerical tests are provided, confirming the theory.