Mortar Boundary Elements
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We establish a mortar boundary element scheme for hypersingular boundary integral equations representing elliptic boundary value problems in three dimensions. We prove almost quasi-optimal convergence of the scheme in broken Sobolev norms of order 1/2. Sub-domain decompositions can be geometrically non-conforming and meshes must be quasi-uniform only on sub-domains. Numerical results confirm the theory.
65N55; 65N38, Matemática física y química, 65N55, Numerical Analysis (math.NA), 65N38, Mortar method, 515, FOS: Mathematics, Boundary element method, Domain decomposition, Mathematics - Numerical Analysis, Nonconforming Galerkin method
65N55; 65N38, Matemática física y química, 65N55, Numerical Analysis (math.NA), 65N38, Mortar method, 515, FOS: Mathematics, Boundary element method, Domain decomposition, Mathematics - Numerical Analysis, Nonconforming Galerkin method
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