Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part I: weakly-singular integral equation

Author:

Feischl Michael,Führer Thomas,Karkulik Michael,Melenk Jens Markus,Praetorius Dirk

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Algebra and Number Theory

Reference29 articles.

1. Aurada, M., Feischl, M., Führer, T., Karkulik, M., Praetorius, D.: Efficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methods. Comput. Methods Appl. Math. 13, 305–332 (2013)

2. Aurada, M., Feischl, M., Führer, T., Melenk, J., Praetorius, D.: Inverse estimates for elliptic boundary integral operators and their application to the adaptive coupling of FEM and BEM. ASC Report 07/2012. Institute for Analysis and Scientific Computing, Vienna University of Technology (2012)

3. Aurada, M., Feischl, M., Kemetmüller, J., Page, M., Praetorius, D.: Each $$H^{1/2}$$ H 1 / 2 -stable projection yields convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data in $${\mathbb{R}}^d$$ R d . Math. Model. Numer. Anal. 47, 1207–1235 (2013)

4. Aurada, M., Ferraz-Leite, S., Goldenits, P., Karkulik, M., Mayr, M., Praetorius, D.: Convergence of adaptive BEM for some mixed boundary value problem. Appl. Numer. Math. 62(4), 226–245 (2012)

5. Aurada, M., Ferraz-Leite, S., Praetorius, D.: Estimator reduction and convergence of adaptive BEM. Appl. Numer. Math. 62(6), 787–801 (2012)

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