CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Adaptive finite elements for elliptic problems with point sources in weighted spaces
Autor/es:
JUAN PABLO AGNELLI, EDUARDO M. GARAU, PEDRO MORIN
Lugar:
Buenos Aires
Reunión:
Congreso; IV Congreso de Matemática Aplicada, Computacional e Industrial; 2013
Institución organizadora:
ASAMACI
Resumen:
We present a posteriori error estimates for second order elliptic problems with point sources in two- and three-dimensional domains. We state a global upper bound and a local lower bound for the error measured in a weighted Sobolev space. The weight considered is a power of the distance to the support of the Dirac delta source term. Numerical experiments with an adaptive algorithm yield optimal meshes and very good effectivity indices.