An operator splitting scheme for biharmonic equation with accelerated convergence

Authors:
X. H. Tang;Ch. I. Christov
Affiliations:
Dept. of Mathematics, University of Louisiana at Lafayette, LA;Dept. of Mathematics, University of Louisiana at Lafayette, LA
Venue:
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
Year:
2005

Citing 3
Cited 2

On an Alternating Direction Method for Solving the Plate Problem with Mixed Boundary Conditions

Journal of the ACM (JACM)
Fast finite-difference solution of biharmonic problems

Communications of the ACM
Numerical scheme for Swift-Hohenberg equation with strict implementation of lyapunov functional

Mathematical and Computer Modelling: An International Journal

Non-linear waves of the steady natural convection in a vertical fluid layer: A numerical approach

Mathematics and Computers in Simulation
Variational imbedding approach to coefficient identification in an elliptic partial differential equation

International Journal of Computational Science and Engineering

Quantified Score

Hi-index	0.00

Visualization

Abstract

We consider the acceleration of operator splitting schemes for Dirichlet problem for biharmonic equation. The two fractional steps are organized in a single iteration unit where the explicit operators are arranged differently for the second step. Using an a-priori estimate for the spectral radius of the operator, we show that there exists an optimal value for the acceleration parameter which speeds up the convergence from two to three times. An algorithm is devised implementing the scheme and the optimal range is verified through numerical experiments.