Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
521126 | Journal of Computational Physics | 2011 | 12 Pages |
Abstract
It is shown in [G. Labrosse, The piecewise-linear Finite Volume scheme: the best known lowest-order preconditioner for the d2dx2 Chebyshev spectral operator, J. Comput. Phys. 228 (2009) 4491–4509] that the piecewise-linear Finite Volume (FV) approximation is the best preconditioner of the L[u]≡d2udx2=f Fourier and Chebyshev solvers compared to the corresponding 3-node Finite Difference (FD) and Finite Element (FE) approximations. The present paper reports about a 3-node preconditioner which, constructed from an appropriate linear combination of these FD, FE and FV approximations, is significantly better than the FV approximation. It is shown to be optimal.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
G. Labrosse, A. Redondo,