p
- and hp-versions of the Galerkin boundary element method for hypersingular and weakly singular integral equations of the first kind on curves. We derive a-posteriori error estimates that are based on stable two-level decompositions of enriched ansatz spaces. The Galerkin errors are estimated by inverting local projection operators that are defined on small subspaces of the second level. A p-adaptive and two hp-adaptive algorithms are defined and numerical experiments confirm their efficiency.
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Received August 30, 2000; revised April 3, 2001
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Heuer, N., Mellado, M. & Stephan, E. hp-adaptive Two-Level Methods for Boundary Integral Equations on Curves. Computing 67, 305–334 (2001). https://doi.org/10.1007/s006070170003
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DOI: https://doi.org/10.1007/s006070170003