A Domain Decomposition Preconditioner for p-FEM Discretizations of Two-dimensional Elliptic Problems

Author:

Beuchler S.

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Computational Theory and Mathematics,Computer Science Applications,Numerical Analysis,Theoretical Computer Science,Software

Reference34 articles.

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2. Ainsworth, M., Demkowicz, L.: Explicit polynomial preserving trace liftings on a triangle. Technical Report TICAM Report 03–47, TICAM, November 2003.

3. Ainsworth, M., Gao, B.: An additive Schwarz preconditioner for p-version boundary element approximation of the hypersingular operator in three dimensions. Numer. Math. 85(3), 343–366 (2000).

4. Babuška, I., Craig, A., Mandel, J., Pitkäranta, J.: Efficent preconditioning for the p-version finite element method in two dimensions. SIAM J. Numer. Anal. 28(3), 624–661 (1991).

5. Becher, M., Riedel, W.: Das CLIC-Projekt – der Weg zum Supercomputing-Cluster mit dem weltweit besten ‘‘Preis-Leistungs-Verhältnis’’. Technical Report Mitteilungen des URZ 32, TU Chemnitz 2000.

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1. Inexact Additive Schwarz Solvers for hp-FEM Discretizations in Three Dimensions;Advanced Finite Element Methods and Applications;2013

2. Equilibrated residual error estimates are p-robust;Computer Methods in Applied Mechanics and Engineering;2009-03

3. Wavelet solvers for hp-FEM discretizations in 3D using hexahedral elements;Computer Methods in Applied Mechanics and Engineering;2009-03

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