Abstract
In many applications, boundary element methods can only be used in combination with finite elements which cover that part of the domain where inhomogeneities or nonlinearities are located. A lot of detailed descriptions and implementations of such coupling methods exist, see e. g. Brebbia-Telles-Wrobel1 and the references given there.
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References
Brebbia, C.A., Telles, J.C.F., Wrobel, L.C. (1984). Boundary Element Techniques, Springer-Verlag, Berlin and New York.
Johnson, J. and Nedelec, J.C. (1980). On the Coupling of Boundary Integral and Finite Element Methods, Math. Comp. 35, pp. 10631079.
Wendland, W.L. (1986). On Asymptotic Error Estimates for Combined BEM and FEM, Lecture Notes, Udine (1986).
Costabel, M. (1987). Principles of Boundary Element Methods. Lectures given at the summer course “Finite Elements in Physics”, Lausanne 1986. Computer Physics Reports. To appear.
Polizzotto, C. (1987). A Consistent Formulation of the BEM within Elastoplasticity. Proc. Symposium on Advanced Boundary Element Methods, San Antonio (Eds. Cruse, T.A. et al.).
Costabel, M. (1987). A Symmetric Method for the Coupling of Finite Elements and Boundary Elements. MAFELAP V I, ( Ed. Whiteman, J. R.), Academic Press, London.
Costabel, M. and Stephan, E.P. (1987). Coupling of Finite Elements and Boundary Elements for Transmission Problems of Elastic Waves in JR3. Proc. Symposium on Advanced Boundary Element Methods, San Antonio (Eds. Cruse, T.A. et al.).
Costabel, M. and Stephan, E.P. (1987). Coupling of Finite Elements and Boundary Elements for Inhomogeneous Transmission Problems in lR3. MAFELAP V I, ( Ed. Whiteman, J. R.), Academic Press, London.
Costabel, M. and Wendland, W.L. (1986). Strong Ellipticity of Boundary Integral Operators, J. Reine Angew. Math. 372, pp. 39–63.
Costabel, M. (1985). Boundary Integral Operators on Lipschitz domains: Elementary Results. Preprint 898, TH Darmstadt. To appear in SIAM J. Math. Anal.
Costabel, M. and Stephan, E.P. (1985). Strongly Eliptic Boundary Integral Equations for Electromagnetic Transmission Problems, Preprint 893, TH Darmstadt. Submitted to Royal Soc. Edinburgh Proc. A.
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Costabel, M. (1987). Symmetric Methods for the Coupling of Finite Elements and Boundary Elements (Invited contribution). In: Brebbia, C.A., Wendland, W.L., Kuhn, G. (eds) Mathematical and Computational Aspects. Boundary Elements IX, vol 9/1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21908-9_26
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DOI: https://doi.org/10.1007/978-3-662-21908-9_26
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