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An hp-Nitsche’s Method for Interface Problems with Nonconforming Unstructured Finite Element Meshes
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2011 (English)In: Spectral and High Order Methods for Partial Differential Equations / [ed] Jan S. Hesthaven and Einar M. Rønquist, 2011, 153-161 p.Conference paper, Published paper (Refereed)
Abstract [en]

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  2 and tetrahedra and parallelepipeds in  3. 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 p 1∕2.

Place, publisher, year, edition, pages
2011. 153-161 p.
Series
Lecture Notes in Computational Science and Engineering, 76
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-16030DOI: 10.1007/978-3-642-15337-2_12OAI: oai:DiVA.org:hj-16030DiVA: diva2:440363
Conference
ICOSAHOM '09 conference, June 22-26, Trondheim, Norway
Note
Peter Hansbo eg. Chalmers University of TechnologyAvailable from: 2011-09-12 Created: 2011-09-12 Last updated: 2012-02-06Bibliographically approved

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