TY - JOUR
T1 - Domain decomposition interface preconditioners for fourth-order elliptic problems
AU - Chan, Tony F.
AU - E, Weinan
AU - Sun, Jiachang
PY - 1991/11
Y1 - 1991/11
N2 - We present preconditioners for the interface system arising from solving fourth-order elliptic equations with domain decomposition methods. These preconditioners are derived from a Fourier analysis of the interface operator. We show that the condition number of the interface Schur complement is of order O(h-3), where h is the grid size. Precise estimates concerning the decay properties of the elements of the Schur complement are also obtained. Relationships between interface preconditioners for second-order problems and fourth-order problems are established. Analytical as well as numerical results are given to assess the performance of these preconditioners.
AB - We present preconditioners for the interface system arising from solving fourth-order elliptic equations with domain decomposition methods. These preconditioners are derived from a Fourier analysis of the interface operator. We show that the condition number of the interface Schur complement is of order O(h-3), where h is the grid size. Precise estimates concerning the decay properties of the elements of the Schur complement are also obtained. Relationships between interface preconditioners for second-order problems and fourth-order problems are established. Analytical as well as numerical results are given to assess the performance of these preconditioners.
KW - Domain decomposition
KW - Schur complement
KW - biharmonic equation
KW - interface preconditioner.
UR - https://www.webofscience.com/wos/woscc/full-record/WOS:A1991GU87500003
UR - https://openalex.org/W2024362124
UR - https://www.scopus.com/pages/publications/0040831612
U2 - 10.1016/0168-9274(91)90072-8
DO - 10.1016/0168-9274(91)90072-8
M3 - Journal Article
SN - 0168-9274
VL - 8
SP - 317
EP - 331
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
IS - 4-5
ER -