A Kronecker product variant of the FACR method for solving the generalized poisson equation

Journal of Computational and Applied Mathematics

Volumn 140, Issue 1-2, 2002, Pages 369-380

  Hendrickx, Jef ^a   Van Barel, Marc ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Cyclic reduction; Direct methods; FACR; Fourier analysis; KPCR; Kronecker product; Poisson equation

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FINITE ELEMENT METHOD; FOURIER TRANSFORMS; LINEAR SYSTEMS; MATRIX ALGEBRA; POISSON EQUATION;

KRONECKER PRODUCT METHODS;

COMPUTATIONAL METHODS;

MATHEMATICAL METHOD;

EID: 0036501939     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(01)00409-5     Document Type: Article

References (12)

1. Spectral and computational properties of band symmetric Toeplitz matrices
2. On direct methods for solving Poisson's equation
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4. The potential calculation and some applications
5. Direct solution of partial difference equations by tensor product methods
6. Tensor product analysis of partial difference equations
7. A special class of structured matrices constructed with the Kronecker product and its use for difference equations
8. The methods of cyclic reduction, Fourier analysis and the FACR algorithm for the discrete solution of Poisson's equation on a rectangle
9. Approximate cyclic reduction for solving Poisson's equation
10. A cyclic reduction algorithm for solving block tridiagonal systems of arbitrary dimensions