A mortar mimetic finite difference method on non-matching grids
نویسندگان
چکیده
We consider mimetic finite difference approximations to second order elliptic problems on non-matching multi-block grids. Mortar finite elements are employed on the non-matching interfaces to impose weak continuity of the velocity. Optimal convergence and, for certain cases, superconvergence is established for both the scalar variable and the velocity.
منابع مشابه
Interior superconvergence in mortar and non-mortar mixed finite element methods on non-matching grids
We establish interior velocity superconvergence estimates for mixed finite element approximations of second order elliptic problems on non-matching rectangular and quadrilateral grids. Both mortar and non-mortar methods for imposing the interface conditions are considered. In both cases it is shown that a discrete L2-error in the velocity in a compactly contained subdomain away from the interfa...
متن کاملA Non-mortar Mixed Finite Element Method for Elliptic Problems on Non-matching Multiblock Grids a Non-mortar Mixed Finite Element Method for Elliptic Problems on Non-matching Multiblock Grids 1
We consider the approximation of second order elliptic equations on domains that can be described as a union of sub-domains or blocks. We assume that a grid is deened on each block independently, so that the resulting grid over the entire domain need not be conforming (i.e., match) across the block boundaries. Several techniques have been developed to approximate elliptic equations on multibloc...
متن کاملMixed Finite Element Methods on Nonmatching Multiblock Grids
We consider mixed nite element methods for second order elliptic equations on non-matching multiblock grids. A mortar nite element space is introduced on the non-matching interfaces. We approximate in this mortar space the trace of the solution, and we impose weakly a continuity of ux condition. A standard mixed nite element method is used within the blocks. Optimal order convergence is shown f...
متن کاملNon-Conforming Finite Element Methods for Nonmatching Grids in Three Dimensions
In the last decade, non-conforming domain decomposition methods such as the mortar finite element method have been shown to be reliable techniques for several engineering applications that often employ complex finite element design. With this technique, one can conveniently assemble local subcomponents into a global domain without matching the finite element nodes of each subcomponent at the co...
متن کاملA Mortar Mixed Finite Volume Method for Elliptic Problems on Non-matching Multi-block Triangular Grids
This article presents a mixed finite volume method for solving second-order elliptic equations with Neumann boundary conditions. The computational domains can be decomposed into non-overlapping sub-domains or blocks and the diffusion tensors may be discontinuous across the sub-domain boundaries. We define a conforming triangular partition on each sub-domains independently, and employ the standa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Numerische Mathematik
دوره 102 شماره
صفحات -
تاریخ انتشار 2005