An hp-Nitsche's method for interface problems with nonconforming unstructured finite element meshes
Paper in proceedings, 2011

In this paper we propose an hp-Nitsche's method for the finite element solution of interface elliptic problems using non-matched unstructured meshes of triangles and parallelograms in ℝ2 and tetrahedra and parallelepipeds in ℝ3. We obtain an explicit lower bound for the penalty weighting function in terms of the local inverse inequality constant. We prove a priori error estimates which are explicit in the mesh size h and in the polynomial degree p. The error bound is optimal in h and suboptimal in polynomial degree by p1/2.

Author

A.V. Chernov

University of Bonn

Peter F G Hansbo

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Lecture Notes in Computational Science and Engineering

1439-7358 (ISSN)

Vol. 76 153-161

Subject Categories

Mathematics

DOI

10.1007/978-3-642-15337-2_12

ISBN

9783642153365

More information

Created

10/7/2017