Abstract
We present fast iterative solvers for coupled non-linear Finite Element and Boundary Element problems using a damped inexact Newton method á la Axelsson and Kaporin. This method converges globally even if the second Gateaux-dervitative does not exist [6].
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References
Axelsson, O. and Kaporin, I.E. (1995) On the solution of nonlinear equations for nondifferentiable mappings, Preprint University of Nijmegen.
Axelsson, O. and Vassilevski, P.S. (1988) Construction of variable-step preconditioners for inner-outer iteration methods, Proceedings of the IMACS April 2–4, 1–14.
Costabel, M. and Stephan, E.P. (1990) Coupling of finite and boundary element methods for an elastoplastic interface problem, SIAM J. Numer. Anal. 27, 1212–1226.
Chandra, R., Eisenstat, S.C. and Schultz, M.H. (1977) The modified conjugate residual method for partial differential equations, in R. Vichnevetsky (ed.), Advances in Computer Methods for Partial Differential Equations II, IMACS, New Brunsbrick, pp. 13–19.
Funken, S.A. and Stephan, E.P. (1995) Fast solvers with multigrid preconditioners for linear and nonlinear FEM-BEM coupling (in preparation).
Funken, S.A. and Stephan, E.P. (1995) Damped inexact Newton methods for nonlinear FEM-BEM coupling problems (in preparation).
Funken, S.A., Stephan, E.P. and Wathen, A. (1995) Fast solvers for coupled FEM-BEM equations II, inner / outer iterations (in preparation).
Hahne, M., Maischak, M., Stephan, E.P. and Wathen, A. (1994) Efficient preconditioners for coupled FEM-BEM equations, Numer. Meth. Part. Diff. Eqns. (submitted).
Hahne, M., Stephan, E.P. and Thies, W. (1995) Fast Solvers for coupled FEM-BEM equations I, in W. Hackbusch and G. Wittum (eds.), Fast Solvers for Flow Problems, Notes on Numerical Fluid Mechanics 49 pp. 121–130.
Lions, J.L. and Magenes, E. (1972) Non-homogeneous boundary value problems and applications I, Springer, Berlin.
Stephan, E.P. (1992) Coupling of finite elements and boundary elements for some nonlinear interface problems. Comp. Meth. Appl. Mech. Engineer. 101, 61–72.
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© 1997 Springer Science+Business Media Dordrecht
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Funken, S.A., Stephan, E.P. (1997). Fast Solvers for Non-Linear FEM-BEM Equations. In: Morino, L., Wendland, W.L. (eds) IABEM Symposium on Boundary Integral Methods for Nonlinear Problems. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5706-3_10
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DOI: https://doi.org/10.1007/978-94-011-5706-3_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6406-4
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