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An hp-Nitsche's method for interface problems with nonconforming unstructured finite element meshes

A.V. Chernov ; Peter Hansbo (Institutionen för matematiska vetenskaper, matematik)
Lecture Notes in Computational Science and Engineering: 8th International Conference on Spectral and High Order Methods, ICOSAHOM'09; Trondheim; Norway; 22 June 2009 through 26 June 2009 (14397358). Vol. 76 (2011), p. 153-161.
[Konferensbidrag, refereegranskat]

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.



Denna post skapades 2015-05-04.
CPL Pubid: 216315

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik

Chalmers infrastruktur