Improved convergence estimate for a multiply polynomially smoothed two-level method with an aggressive coarsening

Applications of mathematics

Radek Tezaur^1¹  Petr Vaněk^2² 

[1] Department of Aeronautics and Astronautics, Stanford University, Durand Building, 496 Lomita Mall, Stanford, CA 94305, USA^1;Department of Mathematics, University of West Bohemia, Univerzitní 22, 306 14 Plzeň, Czech Republic^2

关键词: two-level method;    aggressive coarsening;    smoothed aggregation;    polynomial smoother;    convergence analysis;   

DOI  :  10.21136/AM.2018.0314-17

学科分类：应用数学

来源: Akademie Ved Ceske Republiky

【 摘 要 】

A variational two-level method in the class of methods with an aggressive coarsening and a massive polynomial smoothing is proposed. The method is a modification of the method of Section 5 of Tezaur, Vaněk (2018). Compared to that method, a significantly sharper estimate is proved while requiring only slightly more computational work.

【 授权许可】

Unknown