Solving the biharmonic equation in a square
- 1 November 1973
- journal article
- Published by Association for Computing Machinery (ACM) in Communications of the ACM
- Vol. 16 (11), 711-714
- https://doi.org/10.1145/355611.362550
Abstract
Two methods for solving the biharmonic equation are compared. One method is direct, using eigenvalue-eigenvector decomposition. The other method is iterative, solving a Poisson equation directly at each iteration.Keywords
This publication has 4 references indexed in Scilit:
- Solving the Biharmonic Equation as Coupled Finite Difference EquationsSIAM Journal on Numerical Analysis, 1971
- On Direct Methods for Solving Poisson’s EquationsSIAM Journal on Numerical Analysis, 1970
- The Coupled Equation Approach to the Numerical Solution of the Biharmonic Equation by Finite Differences. IISIAM Journal on Numerical Analysis, 1970
- A Fast Direct Solution of Poisson's Equation Using Fourier AnalysisJournal of the ACM, 1965