Overlapping and Multilevel Schwarz Methods for Vector Valued Elliptic Problems in Three Dimensions-Reference-Cited by-同舟云学术

Overlapping and Multilevel Schwarz Methods for Vector Valued Elliptic Problems in Three Dimensions

Published:2000 Issue: Volume: Page:181-208
ISSN:0940-6573
Container-title:Parallel Solution of Partial Differential Equations
language:
Short-container-title:

Author:

Hiptmair Ralf,Toselli Andrea

Publisher

Springer New York

Link

http://link.springer.com/content/pdf/10.1007/978-1-4612-1176-1_8

Reference67 articles.

1. Academic Press New York;R Adams,1975

2. C. Amrouche, C. Bernardi, M. Dauge, and V. Girault, Vector potential in three-dimensional nonsmooth domains,Tech. Rep. 96–04, IRMAR, Rennes, France, 1996.

3. D. Arnold, R. Falk, and R. Winther, Preconditioning in H(div) and applications, Math. Comp., 66 (1997), pp. 957–984.

4. —, Multigrid preconditioning in H(div) on non-convex polygons, tech. rep., Penn State University, 1997, submitted to Computational and Applied Mathematics.

5. R. Bank, T. Dupont, and H. Yserentant, The hierarchical basis multigrid method, Numer. Math., 52 (1988), pp. 427–458.

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An efficient flux‐variable approximation scheme for Darcy's flow;Numerical Methods for Partial Differential Equations;2024-06-10

2. On a sharp estimate of overlapping Schwarz methods in H(curl; Ω) and H(div; Ω);IMA Journal of Numerical Analysis;2024-05-25

3. Parallel Element-Based Algebraic Multigrid for \(\boldsymbol{H}\) (curl) and \(\boldsymbol{H}\) (div) Problems Using the ParELAG Library;SIAM Journal on Scientific Computing;2023-06-26

4. Patch‐smoother and multigrid for the dual formulation for linear elasticity;International Journal for Numerical Methods in Engineering;2021-10-20

5. A new coarse space for overlapping Schwarz algorithms for H(curl) problems in three dimensions with irregular subdomains;Numerical Algorithms;2019-04-26