Title :
p-version space-time least-squares finite-element method for unsteady convection-diffusion and Burgers´ equations
Author_Institution :
Nat. Center for High-Performance Comput., Hsinchu, Taiwan
fDate :
28 Apr-2 May 1997
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
Keywords :
convection; diffusion; finite element analysis; flow simulation; fluid dynamics; least squares approximations; mechanical engineering computing; minimisation; numerical stability; Burgers´ equations; accuracy; computational fluid dynamics; efficiency; linear model problems; multi-dimensional unsteady problems; nonlinear model problems; p-version space-time least-squares finite-element method; sharp gradients; space-time coupled least-squares minimization concept; stability; unsteady convection-diffusion equations; Computational fluid dynamics; Differential equations; Finite difference methods; Finite element methods; Integral equations; Minimization methods; Nonlinear equations; Numerical stability; Optimization methods; Vectors;
Conference_Titel :
High Performance Computing on the Information Superhighway, 1997. HPC Asia '97
Conference_Location :
Seoul
Print_ISBN :
0-8186-7901-8
DOI :
10.1109/HPC.1997.592160
