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<p>We consider the Oseen system with nonhomogeneous Dirichlet boundary conditions, and its approximation by a finite element method (FEM). We prove new error estimates which extend results from the literature, known for the Stokes system in polyhedral or polygonal convex domains, to the Oseen system in polyhedral (or polygonal) convex or non-convex domains. We also obtain some other error estimates for the Oseen system in polyhedral or polygonal domains which are new even for the Stokes system in polyhedral or polygonal convex domains.</p>

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Numerical approximation of the Oseen system in polyhedral or polygonal domains

  • 期刊论文

  • 发表日期：

    2025年10月3日

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  • Mehdi Badra,
  • Jean-Pierre Raymond

摘要

We consider the Oseen system with nonhomogeneous Dirichlet boundary conditions, and its approximation by a finite element method (FEM). We prove new error estimates which extend results from the literature, known for the Stokes system in polyhedral or polygonal convex domains, to the Oseen system in polyhedral (or polygonal) convex or non-convex domains. We also obtain some other error estimates for the Oseen system in polyhedral or polygonal domains which are new even for the Stokes system in polyhedral or polygonal convex domains.