On adaptive finite element methods for Fredholm integral equations of the second kind

• 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

Ämnesord

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Nyckelord

Fredholm integral equation

potential problems

adaptive finite element method

a posteriors and a priori error estimates

potential problems

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