An error minimized pseudospectral penalty direct Poisson solver

Authors:
Tzyy-Leng Horng;Chun-Hao Teng
Affiliations:
Department of Applied Mathematics, Feng Chia University, Taichung 40724, Taiwan;Department of Applied Mathematics, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu 30010, Taiwan and Center of Mathematical Modeling and Scientific Computing, National Chiao Tung Unive ...
Venue:
Journal of Computational Physics
Year:
2012

Citing 9
Cited 0

A Pseudospectral method for solution of the three-dimensional incompressible Navier-Stokes equations

Journal of Computational Physics
An accurate solution of the Poisson equation by the Chebyshev collocation method

Journal of Computational Physics
Efficient spectral-Galerkin method II.: direct solvers of second- and fourth-order equations using Chebyshev polynomials

SIAM Journal on Scientific Computing
Accuracy and speed in computing the Chebyshev collocation derivative

SIAM Journal on Scientific Computing
A Stable Penalty Method for the Compressible Navier--Stokes Equations: I. Open Boundary Conditions

SIAM Journal on Scientific Computing
A Stable Penalty Method for the Compressible Navier--Stokes Equations: III. Multidimensional Domain Decomposition Schemes

SIAM Journal on Scientific Computing
Spectral penalty methods

Proceedings of the fourth international conference on Spectral and high order methods (ICOSAHOM 1998)
A direct spectral collocation Poisson solver in polar and cylindrical coordinates

Journal of Computational Physics
Nodal high-order methods on unstructured grids

Journal of Computational Physics

Quantified Score

Hi-index	31.45

Visualization

Abstract

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.