TY - JOUR
T1 - Finite element multigrid preconditioner for Chebyshev-collocation methods
AU - Shen, Jie
AU - Wang, Feng
AU - Xu, Jinchao
N1 - Funding Information:
∗ Corresponding author. E-mail: [email protected] 1Partially supported by NFS grants DMS-9603200, DMS-9706951 and by the Texas Institute of Computational and Applied Mathematics. 2 Partially supported by NSF grants DMS-9706949, ACI-9800244 and NASA grant NAG2-1236.
PY - 2000/5
Y1 - 2000/5
N2 - This paper concerns the iterative solution of the linear system arising from the Chebyshev-collocation approximation of second-order elliptic equations and presents an optimal multigrid preconditioner based on alternating line Gauss-Seidel smoothers for the corresponding stiffness matrix of bilinear finite elements on the Chebyshev-Gauss-Lobatto grid.
AB - This paper concerns the iterative solution of the linear system arising from the Chebyshev-collocation approximation of second-order elliptic equations and presents an optimal multigrid preconditioner based on alternating line Gauss-Seidel smoothers for the corresponding stiffness matrix of bilinear finite elements on the Chebyshev-Gauss-Lobatto grid.
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U2 - 10.1016/S0168-9274(99)00114-2
DO - 10.1016/S0168-9274(99)00114-2
M3 - Conference article
AN - SCOPUS:0034190393
SN - 0168-9274
VL - 33
SP - 471
EP - 477
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
IS - 1
T2 - The 4th International Conference on Spectral and High Order Methods (ICOSAHOM 1998)
Y2 - 22 June 1998 through 26 June 1998
ER -