A parallel Schwarz preconditioner for the Chebyshev Gauss-Lobatto collocation (d(2)/dx(2) - h(2)) operator

作者：Kasperski G^*

来源：Journal of Computational Physics, 2015, 296: 101-112.

DOI：10.1016/j.jcp.2015.04.049

• Chebyshev approximation
• Preconditioning
• Domain decomposition
• Schwarz methods
• Multigrid methods

A Schwarz method is proposed to solve a Chebyshev one-dimensional Helmholtz problem of polynomial order k * n by iteratively solving problems of polynomial order up to n, which allows the use of a parallel algorithm. Its efficiency is commented. A multigrid global approach is implemented to accelerate the convergence, leading to an additive system of size 2k or 3k to be solved, depending on the kind of used boundary conditions. A preliminary application to a 2D problem is proposed.

• 出版日期2015-9-1