Volume 5, Issue 1
Error Analysis of Local Refinements of Polygonal Domains

Wei-Nan E ,  Hong-Ci Huang and Wei-Min Han

J. Comp. Math., 5 (1987), pp. 89-94

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  • Abstract

This paper gives a thorough analysis of the local refinement method on plane polygonal domains with special attention to the treatment of reentrant conner. Convergence rates of the finite element method under various norms are derived via a systematic treatment of the interpolation theory in weighted sobolev spaces. it is proved that by refining the mesh suitably, the finite element approximations for problems with singularities achieve the same convergence rates as those for smooth solutions.

  • History

Published online: 1987-05

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