Higher-order finite element methods for elliptic problems with interfaces

Author:

Guzmán Johnny,Sánchez Manuel A.,Sarkis Marcus

Publisher

EDP Sciences

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Reference34 articles.

1. Adjerid S., Ben-Romdhane M. and Lin T., Higher degree immersed finite element methods for second-order elliptic interface problems.Int. J. Numer. Anal. Model.11(2014) 541–566.

2. Annavarapu C., Hautefeuille M. and Dolbow J.E., A robust Nitsche’s formulation for interface problems.Comput. Methods Appl. Mech. Engrg.225/228(2012) 44–54.

3. Beale J.T. and Layton A.T., On the accuracy of finite difference methods for elliptic problems with interfaces.Commun. Appl. Math. Comput. Sci.1(2006) 91–119.

4. Bedrossian J., von Brecht J.H., Zhu S., Sifakis E. and Teran J.M., A second order virtual node method for elliptic problems with interfaces and irregular domains.J. Comput. Phys.229(2010) 6405–6426.

5. Boffi D. and Gastaldi L., A finite element approach for the immersed boundary method.Comput. Struct.81(2003) 491–501. In honour of Klaus-Jürgen Bathe.

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