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Fast low-rank solution of the Poisson equation with application to the Stokes problem
- Publication Year :
- 2013
-
Abstract
- We consider the problem of computing approximate solution of Poisson equation in the low-parametric tensor formats. We propose a new algorithm to compute the solution based on the cross approximation algorithm in the frequency space, and it has better complexity with respect to ranks in comparison with standard algorithms, which are based on the exponential sums approximation. To illustrate the effectiveness of our solver, we incorporate into a Uzawa solver for the Stokes problem on semi-staggered grid as a subsolver. The resulting solver outperforms the standard method for $n \geq 256$.
- Subjects :
- Mathematics - Numerical Analysis
65F08, 15A69
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1306.2150
- Document Type :
- Working Paper