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Discrete conservation and discrete maximum principle for elliptic PDEs. (English) Zbl 0939.65123

Summary: A class of finite volume numerical schemes for the solution of selfadjoint elliptic equations is described. The main feature of the schemes is that numerical solutions share both discrete conservation and discrete strong maximum principles without restriction on the differential operator or on the volume elements.

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
65N06 Finite difference methods for boundary value problems involving PDEs
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