Two-level additive Schwarz preconditioners for nonconforming finite elment methods
Two-level additive Schwarz preconditioners are developed for the nonconforming P1 finite element approximation of scalar second-order symmetric positive definite elliptic boundary value problems the Morley finite element approximation of the biharmonic equation, and the divergence-free nonconforming P1 finite element approximation of the stationary Stokes equations. The condition numbers of the preconditioned systems are shown to be bounded independent of mesh sizes and the number of subdomains in the case of generous overlap.
Publication Source (Journal or Book title)
Mathematics of Computation
Brenner, S. (1996). Two-level additive Schwarz preconditioners for nonconforming finite elment methods. Mathematics of Computation, 65 (215), 897-921. https://doi.org/10.1090/S0025-5718-96-00746-6