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Zbl 1112.65123
Vohral{\'\i}k, M.; Maryška, J.; Severýn, O.
Mixed and nonconforming finite element methods on a system of polygons. (English)
[J] Appl. Numer. Math. 57, No. 2, 176-193 (2007). ISSN 0168-9274

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.
[Răzvan Răducanu (Iaşi)]

MSC 2000:: *65N30 Finite numerical methods (BVP of PDE)
35J25 Second order elliptic equations, boundary value problems

Keywords: second-order elliptic problem; system of polygons; Raviart-Thomas mixed finite element method; nonconforming finite element method; fracture flow; numerical example

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