On adaptive finite element methods for Fredholm integral equations of the second kind
Artikel i vetenskaplig tidskrift, 1994

A posteriors and a priori error estimates are derived for a finite element discretization of a Fredholm integral equation of the second kind. A reliable and efficient adaptive algorithm is then designed for a specific computational goal with applications to potential problems. The reliability of the algorithm is guaranteed by the a posteriors error estimate and the efficiency follows from the a priori error estimate, which shows that the a posteriors error bound is sharp

potential problems

adaptive finite element method

Fredholm integral equation

a posteriors and a priori error estimates

Författare

Mohammad Asadzadeh

Institutionen för matematik

Göteborgs universitet

Kenneth Eriksson

Institutionen för matematik

Göteborgs universitet

SIAM Journal on Numerical Analysis

Vol. 31 3 831-855

Ämneskategorier

Beräkningsmatematik