New mixed finite volume methods for second order eliptic problems
نویسندگان
چکیده
منابع مشابه
A New Class of Higher Order Mixed Finite Volume Methods for Elliptic Problems
We introduce a new class of higher order mixed finite volume methods for elliptic problems. We start from the usual way of changing the given equation into a mixed system using the Darcy’s law, u = −K∇p. By integrating the system of equations with some judiciously chosen test spaces on each element, we define new mixed finite volume methods of higher order. We show that these new schemes are eq...
متن کاملDiscrete-Duality Finite Volume Method for Second Order Elliptic Problems
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...
متن کاملA New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
In the numerical simulation of many practical problems in physics and engineering, finite volume methods are an important and popular class of discretization methods due to the local conservation and the capability of discretizing domains with complex geometry. However they are limited by low order approximation since most existing finite volume methods use piecewise constant or linear function...
متن کاملMultilevel Preconditioners for Mixed Methods for Second Order Elliptic Problems
A new approach of constructing algebraic multilevel preconditioners for mixed nite element methods for second order elliptic problems with tensor coe cients on general geometry is proposed The linear system arising from the mixed methods is rst algebraically condensed to a symmetric positive de nite system for Lagrange multipliers which corresponds to a linear system generated by standard nonco...
متن کاملExtrapolation for the Second Order Elliptic Problems by Mixed Finite Element Methods in Three Dimensions
where ∇ and ∇· are the gradient and divergence operators, Ω ⊂ R is an open bounded cubic domain with boundary Γ, n indicates the outward unit normal vector along Γ, A−1 = (αij)3×3 is a full positive definite matrix uniformly in Ω. Mixed finite element methods [1] should be employed to discretize the system (1.1). The main content of this paper is to present an analysis for the extrapolation of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 2006
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an:2006001