ON THE FINE SCALES SOLVED ANALYTICALLY/NUMERICALLY IN THE VARIATIONAL MULTISCALE FINITE ELEMENT METHOD
QI Yu-long · Journal of Shaanxi University of Science & Technology · 2008
The fine scales solution in the variational multiscale finite element method,which can be acquired by analytical or numerical technique,has an important impact on the final numerical solution.Therefore,the processes for obtaining fine scales solution by these two techniques are described,respectively.Meanwhile,they are applied to solve the advection-diffusion equation,and their advantages and disadvantages are also compared.Numerical results indicate that the variational multiscale finite element method in which fine scales in derived numerically has better stability than that in which fine scales in derived analytically,although both can acquire accurate solutions.