Finite element approximation of spectral problems with Neumann boundary conditions on curved domains
Erwin Hernández, Rodolfo Rodrı́guez · Mathematics of Computation · 2002
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 Ω \Omega . Convergence and optimal order error estimates are proved for standard piecewise linear continuous elements on a discrete polygonal domain Ω h ⊄ Ω \Omega _h ot \subset \Omega in the framework of the abstract spectral approximation theory.