This work was supported by the National Science Foundation under grant DMS 9626567, the Environmental Protection Agency under grant R 825207, and the State of Texas under ARP/ATP grant 010366-168.
SIAM Journal on Numerical Analysis
Student teachers, Mathematics -- Study and teaching, Number concept, Algorithms
A multigrid technique for uniformly preconditioning linear systems arising from a mortar finite element discretization of second order elliptic boundary value problems is described and analyzed. These problems are posed on domains partitioned into subdomains, each of which is independently triangulated in a multilevel fashion. The multilevel mortar finite element spaces based on such triangulations (which need not align across subdomain interfaces) are in general not nested. Suitable grid transfer operators and smoothers are developed which lead to a variable Vcycle preconditioner resulting in a uniformly preconditioned algebraic system. Computational results illustrating the theory are also presented.
Gopalakrishnan, J., & Pasciak, J. E. (2000). Multigrid for the Mortar Finite Element Method. SIAM Journal On Numerical Analysis, 37(3), 1029.