Symmetric coupling of finite elements and boundary elements for a parabolic-elliptic interface problem

Authors:
M. Costabel, V. J. Ervin and E. P. Stephan

Journal:
Quart. Appl. Math. **48** (1990), 265-279

MSC:
Primary 65N30

DOI:
https://doi.org/10.1090/qam/1052136

MathSciNet review:
MR1052136

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References | Similar Articles | Additional Information

**[1]**Ivo Babuška and A. K. Aziz,*Survey lectures on the mathematical foundations of the finite element method*, The mathematical foundations of the finite element method with applications to partial differential equations (Proc. Sympos., Univ. Maryland, Baltimore, Md., 1972) Academic Press, New York, 1972, pp. 1–359. With the collaboration of G. Fix and R. B. Kellogg. MR**0421106****[2]**Martin Costabel,*A symmetric method for the coupling of finite elements and boundary elements*, The mathematics of finite elements and applications, VI (Uxbridge, 1987) Academic Press, London, 1988, pp. 281–288. MR**956899****[3]**M. Costabel,*On the coupling of finite and boundary element methods*, Proceedings of the International Symposium on Numerical Analysis (Ankara, 1987) Middle East Tech. Univ., Ankara, 1989, pp. 1–14. MR**1008301****[4]**M. Costabel and E. P. Stephan,*Coupling of finite elements and boundary elements for transmission problems of elastic waves in 𝑅³*, Advanced boundary element methods (San Antonio, Tex., 1987) Springer, Berlin, 1988, pp. 117–124. MR**941826****[5]**M. Costabel and E. P. Stephan,*Coupling of finite elements and boundary elements for inhomogeneous transmission problems in 𝑅³*, The mathematics of finite elements and applications, VI (Uxbridge, 1987) Academic Press, London, 1988, pp. 289–296. MR**956900****[6]**Hou De Han,*A new class of variational formulations for the coupling of finite and boundary element methods*, J. Comput. Math.**8**(1990), no. 3, 223–232. MR**1299224****[7]**Claes Johnson and J.-Claude Nédélec,*On the coupling of boundary integral and finite element methods*, Math. Comp.**35**(1980), no. 152, 1063–1079. MR**583487**, https://doi.org/10.1090/S0025-5718-1980-0583487-9**[8]**J.-L. Lions and E. Magenes,*Non-homogeneous boundary value problems and applications. Vol. I*, Springer-Verlag, New York-Heidelberg, 1972. Translated from the French by P. Kenneth; Die Grundlehren der mathematischen Wissenschaften, Band 181. MR**0350177****[9]**R. C. MacCamy and Manil Suri,*A time-dependent interface problem for two-dimensional eddy currents*, Quart. Appl. Math.**44**(1987), no. 4, 675–690. MR**872820**, https://doi.org/10.1090/S0033-569X-1987-0872820-7

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DOI:
https://doi.org/10.1090/qam/1052136

Article copyright:
© Copyright 1990
American Mathematical Society