Fundamentación Matemática de la Conexión no Conforme de Mallas de Elementos Finitos Mediante una Formulación Híbrida

Gabriel N. Gatica, Luis E. Quiroz


We prove existence and uniqueness of solutioll of the variatiollal formulation associated to a hybrid scheme for the non-conforming mesh gluing of finite elemellts. In addition, we derive sufficient conditions on the finite element subspaces in order to obtain convergence of the corresponding Galerkin approximations. As a model problem, we consider the Laplace operator acting on a bounded region in the plane which is subdivided into two domains. Our analysiHis mainly based on the classical results for constrained variational problems

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