Strong Lp Convergence Associated with Rellich-type Discrete Compactness for Discontinuous Galerkin FEM
AbstractIn a preceding paper, we proved the discrete compactness properties of Rellich type for some 2D discontinuous Galerkin finite element methods (DGFEM), that is, the strong L2 convergence of some subfamily of finite element functions bounded in an H1-like mesh-dependent norm. In this note, we will show the strong Lp convergence of the above subfamily for 1 ≦ p
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Bibliographic InfoPaper provided by Graduate School of Economics, Hitotsubashi University in its series Discussion Papers with number 2013-16.
Length: 7 p.
Date of creation: Dec 2013
Date of revision:
discontinuous Galerkin FEM; polygonal FEM; discrete Rellich theorem; strong Lp convergence;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-12-29 (All new papers)
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