Domain decomposition operator splitting for mimetic finite difference discretizations of non-stationary problems

2011 ◽  
Vol 46 (1) ◽  
pp. 398-403 ◽  
Author(s):  
L. Portero ◽  
A. Arrarás ◽  
J.C. Jorge
Keyword(s):  
Finite Difference ◽  
Domain Decomposition ◽  
Operator Splitting ◽  
Decomposition Operator ◽  
Stationary Problems

Fast Domain Decomposition Type Solver for Stiffness Matrices of Reference p-Elements

2013 ◽  
Vol 13 (2) ◽  
pp. 161-183 ◽  
Author(s):  
Vadim Korneev
Keyword(s):  
Finite Difference ◽  
Domain Decomposition ◽  
Elliptic Equations ◽  
Harmonic Functions ◽  
Schur Complement ◽  
P Elements ◽  
Stiffness Matrices ◽  
The Family ◽  
Discrete Harmonic Functions

Abstract. A key component of domain decomposition solvers for hp discretizations of elliptic equations is the solver for internal stiffness matrices of p-elements. We consider an algorithm which belongs to the family of secondary domain decomposition solvers, based on the finite-difference like preconditioning of p-elements, and was outlined by the author earlier. We remove the uncertainty in the choice of the coarse (decomposition) grid solver and suggest the new interface Schur complement preconditioner. The latter essentially uses the boundary norm for discrete harmonic functions induced by orthotropic discretizations on slim rectangles, which was derived recently. We prove that the algorithm has linear arithmetical complexity.

scholarly journals Domain decomposition via operator splitting for nonsymmetric problems

1992 ◽  
Vol 5 (2) ◽  
pp. 67-70 ◽  
Author(s):  
William J. Layton ◽  
Patrick J. Rabier
Keyword(s):  
Domain Decomposition ◽  
Operator Splitting

3D finite difference modeling via domain decomposition

1996 ◽  
Author(s):  
Alberto Villarreal ◽  
John A. Scales
Keyword(s):  
Finite Difference ◽  
Domain Decomposition
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