A mixed finite volume method for elliptic problems
نویسندگان
چکیده
منابع مشابه
A Mixed Finite Volume Method for Elliptic Problems
We derive a novel finite volume method for the elliptic equation, using the framework of mixed finite element methods to discretize the pressure and velocities on two different grids (covolumes), triangular (tetrahedral) mesh and control volume mesh. The new discretization is defined for tensor diffusion coefficient and well suited for heterogeneous media. When the control volumes are created b...
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This paper deals with applications of the “Discrete-Duality Finite Volume” approach to a variety of elliptic problems. This is a new finite volume method, based on the derivation of discrete operators obeying a Discrete-Duality principle. An appropriate choice of the degrees of freedom allows one to use arbitrary meshes. We show that the method is naturally related to finite and mixed finite el...
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ژورنال
عنوان ژورنال: Numerical Methods for Partial Differential Equations
سال: 2007
ISSN: 0749-159X,1098-2426
DOI: 10.1002/num.20213