IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Supercloseness on graded meshes for Q1 finite element approximation of a reaction-diffusion equation
Autor/es:
R. G. DURÁN; A. L. LOMBARDI; M. I. PRIETO
Revista:
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2013 p. 232 - 247
ISSN:
0377-0427
Resumen:
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) but with a stronger restriction on the graduation parameter. As a consequence we obtain almost optimal error estimates in the L2-norm thus completing the error analysis given in Durán and Lombardi (2005).
