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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Additional Information
- 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
- 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
- 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
- M. Costabel and E. P. Stephan, Coupling of finite elements and boundary elements for transmission problems of elastic waves in ${\bf R}^3$, Advanced boundary element methods (San Antonio, Tex., 1987) Springer, Berlin, 1988, pp. 117–124. MR 941826
- M. Costabel and E. P. Stephan, Coupling of finite elements and boundary elements for inhomogeneous transmission problems in ${\bf R}^3$, The mathematics of finite elements and applications, VI (Uxbridge, 1987) Academic Press, London, 1988, pp. 289–296. MR 956900
- 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
- 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, DOI https://doi.org/10.1090/S0025-5718-1980-0583487-9
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- 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, DOI https://doi.org/10.1090/S0033-569X-1987-0872820-7
I. Babuška and A. K. Aziz Survey lectures on the mathematical foundations of the finite element method, The Mathematical Foundations of the Finite Element with Applications to Partial Differential Equations (ed. by A. K. Aziz), Academic Press, New York, 1972, pp.3–259
M. Costabel A symmetric method for the coupling of finite elements and boundary elements, The Mathematics of Finite Elements and Applications IV, MAFELAP 1987 (ed. J. R. Whiteman), Academic Press, London, 1988, pp. 281–288
M. Costabel, On the coupling of finite and boundary element methods, Proc. Intern. Symp. on Numerical Analysis 1987 (eds. O. Celebi, B. Karasözen), METU, Ankara, 1989, pp. 1–14
M. Costabel and E. P. Stephan, Coupling of finite elements and boundary elements for transmission problems of elastic waves in $\mathbb {R}^{3}$ , IUTAM Symp. Advanced BEM (eds. T. Cruse, et al.), San Antonio, 1987, Springer Verlag, Berlin, 1987, pp. 117–124
M. Costabel and E. P. Stephan, Coupling of finite elements and boundary elements for inhomogeneous transmission problems in $\mathbb {R}^{3}$ , The Mathematics of Finite Elements and Applications IV, MAFELAP, 1987 (ed. J. R. Whiteman), Academic Press, London, 1988, pp. 289–296
H. Han, A new class of variational formulations for the coupling of finite and boundary element methods, Preprint, Univ. Maryland, College Park, 1988
J. Johnson and J. C. Nedelec, On the coupling of boundary integral and finite element methods, Math. Comp. 35, 1063–1079 (1980)
J. L. Lions and E. Magenes, Non-homogeneous Boundary Value Problems and Applications I. Springer Verlag, Berlin, 1972
R. C. MacCamy and M. Suri, A time-dependent interface problem for two-dimensional eddy currents, Quart. Appl. Math 44 pp 675–690, 1987
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© Copyright 1990
American Mathematical Society
