Combination of mixed finite element and Dirichlet-to-Neumann methods in nonlinear plane elasticity
Authors:
G.N. Gatica
Affiliation:
Departamento de Ingeniería Matemática, Universidad de Concepción Casilla 4009, Concepción, Chile
Abstract:
We study the solvability and Galerkin approximation of an exterior hyperelastic interface problem arising in plane elasticity. The weak formulation is obtained from an appropriate combination of a mixed finite element approach with a Dirichlet-to-Neumann method. The derivation of our results is based on some tools from nonlinear functional analysis and the Babuska-Brezzi theory for variational problems with constraints.