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摘要
The goal of this paper is to establish exponential convergence of hp-version interior penalty (IP) discontinuous Galerkin (dG) finite element methods for the numerical approximation of linear second-order elliptic boundary-value problems with homogeneous Dirichlet boundary conditions and piecewise analytic data in three-dimensional polyhedral domains. More precisely, we shall analyze the convergence of the hp-IP dG methods considered in [D. Schotzau, C. Schwab, T. P. Wihler, SIAM J. Numer. Anal., 51 (2013), pp. 1610-1633] based on axiparallel sigma-geometric anisotropic meshes and s-linear anisotropic polynomial degree distributions.
- 出版日期2013
