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An hp-Nitsche’s Method for Interface Problems with Nonconforming Unstructured Finite Element Meshes
Högskolan i Jönköping, Tekniska Högskolan, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering.
2011 (engelsk)Inngår i: Spectral and High Order Methods for Partial Differential Equations / [ed] Jan S. Hesthaven and Einar M. Rønquist, 2011, s. 153-161Konferansepaper, Publicerat paper (Fagfellevurdert)
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.

sted, utgiver, år, opplag, sider
2011. s. 153-161
Serie
Lecture Notes in Computational Science and Engineering ; 76
HSV kategori
Identifikatorer
URN: urn:nbn:se:hj:diva-16030DOI: 10.1007/978-3-642-15337-2_12OAI: oai:DiVA.org:hj-16030DiVA, id: diva2:440363
Konferanse
ICOSAHOM '09 conference, June 22-26, Trondheim, Norway
Merknad
Peter Hansbo eg. Chalmers University of TechnologyTilgjengelig fra: 2011-09-12 Laget: 2011-09-12 Sist oppdatert: 2012-02-06bibliografisk kontrollert

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Totalt: 512 treff
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