On the Implementation of Mixed Methods as Nonconforming Methods for Second- Order Elliptic Problems
نویسندگان
چکیده
منابع مشابه
On the Implementation of Mixed Methods as Nonconforming Methods for Second-order Elliptic Problems
In this paper we show that mixed finite element methods for a fairly general second-order elliptic problem with variable coefficients can be given a nonmixed formulation. (Lower-order terms are treated, so our results apply also to parabolic equations.) We define an approximation method by incorporating some projection operators within a standard Galerkin method, which we call a projection fini...
متن کاملThe Analysis of Multigrid Algorithms for Nonconforming and Mixed Methods for Second Order Elliptic Problems
In this paper we consider multigrid algorithms for nonconforming and mixed nite element methods for second order elliptic problems on triangular and rectangular nite elements. We prove optimal convergence properties of the W-cycle multigrid algorithm and uniform condition number estimates for the variable V-cycle preconditioner. Lower order terms are treated, so our results also apply to parabo...
متن کاملRecent Development of Multigrid Algorithms for Mixed and Nonconforming Methods for Second Order Elliptic Problems
Multigrid algorithms for nonconforming and mixed nite element methods for second order elliptic problems on triangular and rectangular nite elements are considered. The construction of several coarse-tone intergrid transfer operators for nonconforming multigrid algorithms is discussed. The equivalence between the nonconforming and mixed nite element methods with and without projection of the co...
متن کاملEquivalence between and Multigrid Algorithms for Mixed and Nonconforming Methods for Second Order Elliptic Problems
The purpose of this paper is to establish an equivalence between mixed and nonconforming nite element methods for second order elliptic problems on both triangular and rectangular nite elements in IR 2 and IR 3 , and to provide an analysis of multigrid methods for both methods based on the equivalence. We rst show that the linear system arising from the mixed method can be algebraically condens...
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: Mathematics of Computation
سال: 1995
ISSN: 0025-5718
DOI: 10.2307/2153478