Resumen de Supercloseness on graded meshes for Q1 finite element approximation of a reaction-diffusion equation

Ricardo G. Durán, Ariel L. Lombardi, M. I. Prieto

• In this paper we analyze the standard piece-wise bilinear finite element approximation of a model reaction�diffusion problem. We prove supercloseness results when appropriate graded meshes are used. The meshes are those introduced in Durán and Lombardi (2005) [8] but with a stronger restriction on the graduation parameter. As a consequenceweobtain almost optimal error estimates in the L2-norm thus completing the error analysis given in Durán and Lombardi (2005) [8].