منابع مشابه
Control-volume Mixed Finite Element Methods
A key ingredient in simulation of ow in porous media is accurate determination of the velocities that drive the ow. Large-scale irregularities of the geology (faults, fractures, and layers) suggest the use of irregular grids in simulation. This paper presents a control-volume mixed nite element method that provides a simple, systematic, easily implemented procedure for obtaining accurate veloci...
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A new mixed nite element method on totally distorted rectangular meshes is introduced with optimal error estimates for both pressure and velocity. This new mixed discretization ts the geometric shapes of the discontinuity of the rough coeecients and domain boundaries well. This new mixed method also enables us to derive the optimal error estimates and existence and uniqueness of Thomas's mixed ...
متن کاملMixed Finite Element Methods
Finite element methods in which two spaces are used to approximate two different variables receive the general denomination of mixed methods. In some cases, the second variable is introduced in the formulation of the problem because of its physical interest and it is usually related with some derivatives of the original variable. This is the case, for example, in the elasticity equations, where...
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We develop a new mixed formulation for the numerical solution of second-order elliptic problems. This new formulation expands the standard mixed formulation in the sense that three variables are explicitly treated: the scalar unknown, its gradient, and its ux (the coeecient times the gradient). Based on this formulation, mixed nite element approximations of the second-order elliptic problems ar...
متن کاملMixed Finite Element - Finite Volume Methods for Two Phase Flow in Porous Media
As a model problem for the miscible and imiscible two phase ow we consider the following system of partial diierential equations: ?div (a(c; x) (rp(x; t) + (c; x))) = 0 @tc(x; t) + div (u(x; t)c(x; t)) ? div (rc(x;t)) = f(x; t); with (x; t) 2 (0; T). Here u denotes the Darcy velocity, p the pressure and c the concentration of one phase of the uid. For small diiusions (0 < < < 1) standard Galerk...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2010
ISSN: 1370-1444
DOI: 10.36045/bbms/1284570729