An error minimized pseudospectral penalty direct Poisson solver

This paper presents a direct Poisson solver based on an error minimized Chebyshev pseudospectral penalty formulation for problems defined on rectangular domains. In this study the penalty parameters are determined analytically such that the discrete L 2 error is minimized. Numerical experiments are...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computational physics 2012-03, Vol.231 (6), p.2498-2509
Main Authors: Horng, Tzyy-Leng, Teng, Chun-Hao
Format: Article
Language:English
Subjects:
Boundary conditions
Chebyshev approximation
Computation
Computational techniques
Diagonalization
Error analysis
Errors
Exact sciences and technology
Mathematical analysis
Mathematical methods in physics
Mathematical models
Physics
Poisson equations
Pseudospectral penalty method
Solvers
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper presents a direct Poisson solver based on an error minimized Chebyshev pseudospectral penalty formulation for problems defined on rectangular domains. In this study the penalty parameters are determined analytically such that the discrete L 2 error is minimized. Numerical experiments are conducted and the results show that the penalty scheme computes numerical solutions with better accuracy, compared to the traditional approach with boundary conditions enforced strongly.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2011.11.042