An Adaptive Local (AL) Basis for Elliptic Problems with Complicated Discontinuous Coefficients
نویسندگان
چکیده
منابع مشابه
Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients
Elliptic partial differential equations (PDEs) with discontinuous diffusion coefficients occur in application domains such as diffusions through porous media, electro-magnetic field propagation on heterogeneous media, and diffusion processes on rough surfaces. The standard approach to numerically treating such problems using finite element methods is to assume that the discontinuities lie on th...
متن کاملA mortar element method for elliptic problems with discontinuous coefficients
This paper proposes a mortar finite element method for solving the two-dimensional second-order elliptic problem with jumps in coefficients across the interface between two subregions. Non-matching finite element grids are allowed on the interface, so independent triangulations can be used in different subregions. Explicitly realizable mortar conditions are introduced to couple the individual d...
متن کاملLocal discontinuous Galerkin methods for elliptic problems
In this paper, we review the development of local discontinuous Galerkin methods for elliptic problems. We explain the derivation of these methods and present the corresponding error estimates; we also mention how to couple them with standard conforming finite element methods. Numerical examples are displayed which confirm the theoretical results and show that the coupling works very well. Copy...
متن کاملOn the Efficiency of Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients
The successful implementation of adaptive finite element methods based on a posteriori error estimates depends on several ingredients: an a posteriori error indicator, a refinement/coarsening strategy, and the choice of various parameters. The objective of the paper is to examine the influence of these factors on the performance of adaptive finite element methods for a model problem: the linear...
متن کاملA New Immersed Interface FEM for Elliptic Problems with Discontinuous Coefficients and Nonlinear Local Own Source
)). ( ( )] [( ξ β ξ u g u x x = = (4) Problems of this type arise when we consider a diffusion equation with nonlinear localized chemical reactions. As a result of the reactions the derivatives are discontinuous across the interfaces (local sites of reactions). Some 2D problems with jump conditions, that depend on the solution on the interface are considered by J. Kandilarov and L. Vulkov [2,3,...
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: PAMM
سال: 2015
ISSN: 1617-7061
DOI: 10.1002/pamm.201510292