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High Performance Computing and Grid in Asia Pacific Region, International Conference on (1997)
Seoul, Korea
Apr. 28, 1997 to May 2, 1997
ISBN: 0-8186-7901-8
pp: 277
Shin-Jye Liang , Nat. Center for High-Performance Comput., Hsinchu, Taiwan
ABSTRACT
A p-version-based space-time least-squares finite-element method (STLSFEM) is presented in this study. The method is applied to unsteady convection-diffusion and Burgers' equations which contain sharp gradients. Computed results demonstrates the stability, accuracy and efficiency of the present method for both linear and non-linear model problems. The method provides the basis for the extension of the space-time coupled least-squares minimization concept to multi-dimensional unsteady problems and appears to have great potential in computational fluid dynamics.
INDEX TERMS
least squares approximations; p-version space-time least-squares finite-element method; unsteady convection-diffusion equations; Burgers' equations; sharp gradients; stability; accuracy; efficiency; linear model problems; nonlinear model problems; space-time coupled least-squares minimization concept; multi-dimensional unsteady problems; computational fluid dynamics
CITATION
Shin-Jye Liang, "p-version space-time least-squares finite-element method for unsteady convection-diffusion and Burgers' equations", High Performance Computing and Grid in Asia Pacific Region, International Conference on, vol. 00, no. , pp. 277, 1997, doi:10.1109/HPC.1997.592160
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