On the coupling of DPG and BEM
Copyright policy )On the coupling of DPG and BEM
We develop and analyze strategies to couple the discontinuous Petrov-Galerkin method with optimal test functions to (i) least-squares boundary elements and (ii) various variants of standard Galerkin boundary elements. An essential feature of our method is that, despite the use of boundary integral equations, optimal test functions have to be computed only locally. We apply our findings to a standard transmission problem in full space and present numerical experiments to validate our theory.
Finite element method, Variational methods for second-order elliptic equations, Matemáticas, transmission problem, Boundary element methods for boundary value problems involving PDEs, ultra-weak formulation, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 510, Boundary value problems, Least squares, Métodos de Galerkin, 65N30, 35J20, 65N38, FOS: Mathematics, boundary integral equations, Mathematics - Numerical Analysis, coupling, numerical experiments, Integral equations, boundary elements, Applied Mathematics, Matemática física y química, optimal test functions, least-squares method, Numerical Analysis (math.NA), Método de elementos finitos, Calderón projector, discontinuous Petrov-Galerkin method
Finite element method, Variational methods for second-order elliptic equations, Matemáticas, transmission problem, Boundary element methods for boundary value problems involving PDEs, ultra-weak formulation, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 510, Boundary value problems, Least squares, Métodos de Galerkin, 65N30, 35J20, 65N38, FOS: Mathematics, boundary integral equations, Mathematics - Numerical Analysis, coupling, numerical experiments, Integral equations, boundary elements, Applied Mathematics, Matemática física y química, optimal test functions, least-squares method, Numerical Analysis (math.NA), Método de elementos finitos, Calderón projector, discontinuous Petrov-Galerkin method
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