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Coupled finite and boundary element tearing and interconnecting solvers for nonlinear potential problems. (English) Zbl 1110.78009

The authors are concerned with Newton’s method for some 2D nonlinear magnetostatic problems. The linearized boundary value problems are elliptic potential problems with varying coefficients. They are solved using FETI/BETI methods. A special attention is paid to the initial guess for the Newton’s iterations as well as to the preconditioners for the linear subproblems. Two technological problems are solved in order to underline the efficiency of the coupled FETI/BETI methods.

MSC:

78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
78M15 Boundary element methods applied to problems in optics and electromagnetic theory
78A30 Electro- and magnetostatics

Software:

NewtonLib; OSTBEM
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Full Text: DOI

References:

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