We present a finite volume scheme for solving elliptic boundary value problems with solutions that have one or a few small regions with high activity. The scheme results from combining the local defect correction method (LDC), introduced in [4], with standard finite volume discretizations on a global coarse and on local fine uniform grids. The iterative discretization method that is obtained in this way yields a discrete approximation of the continuous solution on a composite grid. It is shown, that the composite grid solution satisfies a discrete conservation property
Sometimes boundary value problems have isolated regions where the solution changes rapidly. Therefor...
Many boundary value problems produce solutions that have highly localized properties. In this paper ...
We study the local defect correction (LDC) method, introduced in [7]. We focus on the behavior of LD...
We present a finite volume scheme for solving elliptic boundary value problems with solutions that h...
We present a finite volume scheme for solving elliptic boundary value problems with solutions that h...
We present a nite volume scheme for solving elliptic boundary value problems with solutions that hav...
We analyze a special case of the Local Defect Correction (LDC) method introduced in [4]. We restrict...
We present a method for solving partial differential equations characterized by highly localized pro...
This paper presents a new approach to gridding for problems with localised regions of high activity....
In this paper we consider the problem of discretization on a composite grid that consists of a globa...
Sometimes boundary value problems have isolated regions where the solution changes rapidly. Therefor...
Many boundary value problems produce solutions that have highly localized properties. In this paper ...
We study the local defect correction (LDC) method, introduced in [7]. We focus on the behavior of LD...
We present a finite volume scheme for solving elliptic boundary value problems with solutions that h...
We present a finite volume scheme for solving elliptic boundary value problems with solutions that h...
We present a nite volume scheme for solving elliptic boundary value problems with solutions that hav...
We analyze a special case of the Local Defect Correction (LDC) method introduced in [4]. We restrict...
We present a method for solving partial differential equations characterized by highly localized pro...
This paper presents a new approach to gridding for problems with localised regions of high activity....
In this paper we consider the problem of discretization on a composite grid that consists of a globa...
Sometimes boundary value problems have isolated regions where the solution changes rapidly. Therefor...
Many boundary value problems produce solutions that have highly localized properties. In this paper ...
We study the local defect correction (LDC) method, introduced in [7]. We focus on the behavior of LD...