Poisson equation solver with fourth-order accuracy by using interpolated differential operator scheme

Computers and Mathematics with Applications

Volumn 43, Issue 6-7, 2002, Pages 621-630

  Sakurai, K ^a   Aoki, T ^a   Lee, W H ^a   Kato, K ^a  

^a Tokyo Inst of Tech ^*  (Japan)

Author keywords

Hermite interpolation; Interpolated differential operator (IDO) scheme; Poisson equation

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIATION (CALCULUS); FINITE DIFFERENCE METHOD; INTERPOLATION; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; PARALLEL PROCESSING SYSTEMS; RESPONSE TIME (COMPUTER SYSTEMS);

FOURTH ORDER ACCURACY; HERMITE INTERPOLATION; INTERPOLATED DIFFERENTIAL OPERATOR; MULTIGRID METHOD; RED BLACK ALGORITHM;

POISSON EQUATION;

EID: 0036499009     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(01)00308-X     Document Type: Article

References (7)

1. Variants of Bi-CGSTAB for matrices with complex spectrum
2. Conjugate gradient-like algorithms for solving nonsymmetric linear systems
3. Interpolated differential operator (IDO) scheme for solving partial differential equations
4. Implicit IDO (interpolated differential operator) scheme
5. Kernel optimum nearly-analytical discretization (KOND) algorithm applied to parabolic and hyperbolic equations
6. Multi-level adaptive solutions to boundary-value problems
7. Use of the splitting scheme and multigrid method to compute flow separation