四川大学学报(自然科学版)
四川大學學報(自然科學版)
사천대학학보(자연과학판)
JOURNAL OF SICHUAN UNIVERSITY
2003年
4期
646-650
,共5页
存在性%收敛性%不动点定理%离散解%有限元法
存在性%收斂性%不動點定理%離散解%有限元法
존재성%수렴성%불동점정리%리산해%유한원법
Brouwer's fixed point theory%least squares%stationary%dissymmetry%finite element method
证明了定常非对称流动方程变分格式解的存在唯一性,并建立了其G/L-S稳定化有限元格式,证明了有限元离散解对任意有限元空间组合是稳定的,并给出有限元解的收敛性和误差估计.
證明瞭定常非對稱流動方程變分格式解的存在唯一性,併建立瞭其G/L-S穩定化有限元格式,證明瞭有限元離散解對任意有限元空間組閤是穩定的,併給齣有限元解的收斂性和誤差估計.
증명료정상비대칭류동방정변분격식해적존재유일성,병건립료기G/L-S은정화유한원격식,증명료유한원리산해대임의유한원공간조합시은정적,병급출유한원해적수렴성화오차고계.
The authors proved the existence and uniqueness of the solution for the variational form of the stationary dissymmetry flow equations. Then a G/L-S stabilized finite element discrete form is proposed.And that the finite element discrete solution is stable for any combination of finite element spaces is proved. But also the convergence and error estimate of the finite element solution are showed.
