Buchbeiträge:
T. Führer, G. Gantner, D. Praetorius, S. Schimanko:
"Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods";
in: "ASC Report 20/2018",
herausgegeben von: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2018,
ISBN: 978-3-902627-11-7,
S. 1
- 33.
Kurzfassung englisch:
We define and analyze (local) multilevel diagonal preconditioners for isogeometric boundary elements on locally refined meshes in two dimensions. Hypersingular and weakly-singular integral equations are considered. We prove that the condition number of the preconditioned systems of linear equations is independent of the mesh-size and the refinement level. Therefore, the computational complexity, when using appropriate iterative solvers, is optimal. Our analysis is carried out for closed and open boundaries and numerical examples confirm our theoretical results.
Schlagworte:
preconditioner, multilevel additive Schwarz, isogeometric analysis, boundary element methods.
Elektronische Version der Publikation:
http://www.asc.tuwien.ac.at/preprint/2018/asc20x2018.pdf
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.