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Finite element approximation of spectral problems with Neumann boundary conditions on curved domains
Authors:Erwin Herná  ndez   Rodolfo Rodrí  guez.
Affiliation:Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile ; Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile
Abstract:This paper deals with the finite element approximation of the spectral problem for the Laplace equation with Neumann boundary conditions on a curved nonconvex domain $Omega$. Convergence and optimal order error estimates are proved for standard piecewise linear continuous elements on a discrete polygonal domain $Omega_hnotsubsetOmega$ in the framework of the abstract spectral approximation theory.

Keywords:Finite element spectral approximation   curved domains
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