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The influence of quadrature formulas in 2D and 3D mortar element methods. (English) Zbl 1007.65096
Pavarino, Luca F. (ed.) et al., Recent developments in domain decomposition methods. Some papers of the workshop on domain decomposition, ETH Zürich, Switzerland, June 7-8. 2001. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 23, 203-221 (2002).
Summary: The paper is concerned with the mortar finite element discretization of scalar elliptic equations in three dimensions. The attention is focused on the influence of quadratic formulas on the discretization error. We show numerically that the optimality of the method is preserved if suitable quadrature formulas are used.
For the entire collection see [Zbl 0989.00043].

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
65N15 Error bounds for boundary value problems involving PDEs