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On an adaptive FEM-BEM for nonlinear transmission problem. (English) Zbl 1501.65122

Summary: We consider the adaptive FEM-BEM for the nonlinear transmission problem. Under the newly defined distance framework, the a posteriori and a priori error estimates are proposed and analyzed. Numerical example verifies the theoretical analysis result.

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N38 Boundary element methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
65K10 Numerical optimization and variational techniques
35B45 A priori estimates in context of PDEs
49M25 Discrete approximations in optimal control
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References:

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