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Mixed and nonconforming finite element methods on a system of polygons. (English) Zbl 1112.65123
The authors investigate the lowest-order Raviart-Thomas mixed finite element method for second-order elliptic problems posed over a system of intersecting two-dimensional polygons placed in three-dimensional Euclidian space. The theoretical results are finally verified on a model problem with a known analytical solution. The application of the proposed method to the simulation of a real problem is also discussed.

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