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- Title
A domain decomposition and mixed method for a linear parabolic boundary value problem.
- Authors
Girault, V.; Glowinski, R.; López, H.
- Abstract
In this paper, we discuss the convergence of a domain decomposition method for the solution of linear parabolic equations in their mixed formulations. The subdomain meshes need not be quasi‐uniform; they are composed of triangles or quadrilaterals that do not match at interfaces. For the ease of computation, this lack of continuity is compensated by a mortar technique based on piecewise constant (discontinuous) multipliers. It is shown that the method on triangles, parallelograms or slightly distorted parallelograms is convergent at the expense of a half‐order loss of accuracy compared with mortar methods based on piecewise linear multipliers.
- Subjects
BASES (Linear topological spaces); INITIAL value problems; DIFFERENTIAL equations; COMPLEX variables; BOUNDARY value problems
- Publication
IMA Journal of Numerical Analysis, 2004, Vol 24, Issue 3, p491
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/24.3.491