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...

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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
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description 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.
doi_str_mv 10.1016/j.jcp.2011.11.042
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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
title An error minimized pseudospectral penalty direct Poisson solver
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