Algorithm 685: a program for solving separable elliptic equations-Reference-Cited by-同舟云学术

Algorithm 685: a program for solving separable elliptic equations

Published:1990-12 Issue:4 Volume:16 Page:325-351
ISSN:0098-3500
Container-title:ACM Transactions on Mathematical Software
language:en
Short-container-title:ACM Trans. Math. Softw.

Author:

Kaufman Linda¹,Warner Daniel D.²

Affiliation:

1. AT&T Bell Labs, Murray Hill, NJ

2. Clemson Univ., Clemson, SC

Abstract

This paper persents a program SERRG2 that solves separable elliptic equations on a rectangle. The program uses a matrix decomposition technique to directly solve the linear system arising from a Rayleigh-Ritz-Galerkin approach with tensor product B-splines to solve the separable partial differential equation. This approach permits high-order discretizations, variable meshes, and multiple knots.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Link

https://dl.acm.org/doi/pdf/10.1145/98267.98289

Reference14 articles.

1. Algorithm 527: A Fortran Implementation of the Generalized Marching Algorithm [D3]

2. A fourth-order-accurate Fourier method for the Helmholtz equation in three dimensions

3. Reduction of a band-symmetric generalized eigenvalue problem

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