两相不定常连续铸钢问题有限元逼近的收敛性分析  

ON CONVERGENCE OF FINITE ELEMENT APPROXIMATION FOR EVOLUTIONARY CONTINUOUS CASTING PROBLEM OF TWO PHASES

作　　者：沈树民[1] 

机构地区：[1]苏州大学

出　　处：《高等学校计算数学学报》1992年第3期277-286,共10页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金

摘　　要：记Ω=(0,1)×(0.τ)为钢锭区域,Ω_τ=(0,T)×Ω,Ω_τ=Ω_1(t)∪Ω_2(t),t∈(0,T),其中Ω_1(t)与Ω_2(t)分别表示液态与固态区域。时刻t时的自由界面由F(t)={(x,z)∈Ω,s(X,Z,t)=0}表示,F=(?)F(t)。 设u=u(X,Z,t)表示温度。作变换后不妨设Ω,(t)In this paper we consider an evolutionary continuous casting problem of two phases:where u is the temperature, H(u) is a maximal monotonic graph. An approximationscheme, consisting in a regularization procedure and discretization by means of piecewise- linear finite element in space and backward-difference in time, is analysed. The stability and convergence of the discrete scheme are shown.

关 键 词：铸钢 有限元 逼近 收敛性 

分 类 号：TG26[金属学及工艺—铸造]