Nonconforming Methods for Nonlinear Elasticity Problems
Domain decomposition methods are studied for several problems exhibiting nonlinearities in terms of curved interfaces and/or underlying model equations. In order to retain as much flexibility as possible, we do not require the subdomain grids to match along their common interfaces. Dual Lagrange multipliers are employed to generate efficient and robust transmission operators between the subdomains. Various numerical examples are presented to illustrate the applicability of the approach.
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- 2.C. Bernardi, Y. Maday, and A. T. Patera, A New Non Conforming Approach to Domain Decomposition: The Mortar Element Method, vol. 299 of Pitman Res. Notes Math. Ser., Pitman, 1994, pp. 13–51.Google Scholar