Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6917028 | Computer Methods in Applied Mechanics and Engineering | 2015 | 25 Pages |
Abstract
We consider the Galerkin boundary element method (BEM) for weakly-singular integral equations of the first-kind in 2D. We analyze some residual-type a posteriori error estimator which provides a lower as well as an upper bound for the unknown Galerkin BEM error. The required assumptions are weak and allow for piecewise smooth parametrizations of the boundary, local mesh-refinement, and related standard piecewise polynomials as well as NURBS. In particular, our analysis gives a first contribution to adaptive BEM in the frame of isogeometric analysis (IGABEM), for which we formulate an adaptive algorithm which steers the local mesh-refinement and the multiplicity of the knots. Numerical experiments underline the theoretical findings and show that the proposed adaptive strategy leads to optimal convergence.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Michael Feischl, Gregor Gantner, Dirk Praetorius,