Stable Qk-Qk−1 mixed finite elements with discontinuous pressure
نویسندگان
چکیده
منابع مشابه
Discontinuous Dual-primal Mixed Finite Elements for Elliptic Problems
We propose a novel discontinuous mixed nite element formulation for the solution of second-order elliptic problems. Fully discontinuous piecewise polynomial nite element spaces are used for the trial and test functions. The discontinuous nature of the test functions at the element interfaces allows to introduce new boundary unknowns that, on the one hand enforce the weak continuity of the trial...
متن کاملCoupling Discontinuous Galerkin and Mixed Finite Element Discretizations using Mortar Finite Elements
Abstract. Discontinuous Galerkin (DG) and mixed finite element (MFE) methods are two popular methods that possess local mass conservation. In this paper we investigate DG-DG and DG-MFE domain decomposition couplings using mortar finite elements to impose weak continuity of fluxes and pressures on the interface. The subdomain grids need not match and the mortar grid may be much coarser, giving a...
متن کاملMultiscale mixed finite elements
In this work, we propose a mixed finite element method for solving elliptic multiscale problems based on a localized orthogonal decomposition (LOD) of Raviart– Thomas finite element spaces. It requires to solve local problems in small patches around the elements of a coarse grid. These computations can be perfectly parallelized and are cheap to perform. Using the results of these patch problems...
متن کاملImplicit-Explicit Time Stepping with Spatial Discontinuous Finite Elements
In this paper a combination of discontinuous, piecewise linear, finite elements with implicitexplicit time stepping is considered for convection-reaction equations. Combined with low order quadrature rules, this leads to convenient schemes. We shall consider the effect of such low order quadrature rules on accuracy and stability for one-dimensional problems. 2000 Mathematics Subject Classificat...
متن کاملComposite Finite Elements for 3D Elasticity with Discontinuous Coefficients
For the numerical simulation in continuum mechanics the Composite Finite Element (CFE) method allows an effective treatment of problems where material parameters are discontinuous across geometrically complicated interfaces. Instead of complicated and computationally expensive tetrahedral meshing, specialized CFE basis functions are constructed on a uniform hexahedral grid. This is a convenient...
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: Journal of Computational and Applied Mathematics
سال: 2016
ISSN: 0377-0427
DOI: 10.1016/j.cam.2016.01.030