Application of domain decomposition methods for solving complex problems on parallel computers may lead to a situation when the subdomains are meshed independently and the obtained grids do not match at the subdomain interfaces. In this article we consider mortar finite volume element approximations of second order elliptic equations on nonmatching grids. This means that the discretization of the problem is based on Petrov-Galerkin method with a solution space of continuous over each subdomain piece-wise linear functions and a test space of piece-wise constant functions. We construct and study several mortar spaces that are used in imposing the weak continuity of the discrete solution along the grid interfaces and prove an optimal order convegence in energy norm.
|Number of pages||18|
|Journal||East-West Journal of Numerical Mathematics|
|Publication status||Published - 1 Jan 2000|
ASJC Scopus subject areas
- Computational Mathematics