应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2005年
3期
464-470
,共7页
海水入浸%特征有限元%半正定%误差估计
海水入浸%特徵有限元%半正定%誤差估計
해수입침%특정유한원%반정정%오차고계
Seawater intrusion%Characteristics-finite element%Positive semi-definite%Error estimates
海水入浸问题的数学模型是两个耦合抛物型偏微分方程,其中一个是关于压力的流动方程,另一个是关于浓度的对流扩散方程.压力方程由标准有限元方法逼近,浓度方程则用特征有限元方法逼近.在扩散项系数半正定的情形得到逼近解的次优L2-模误差估计.
海水入浸問題的數學模型是兩箇耦閤拋物型偏微分方程,其中一箇是關于壓力的流動方程,另一箇是關于濃度的對流擴散方程.壓力方程由標準有限元方法逼近,濃度方程則用特徵有限元方法逼近.在擴散項繫數半正定的情形得到逼近解的次優L2-模誤差估計.
해수입침문제적수학모형시량개우합포물형편미분방정,기중일개시관우압력적류동방정,령일개시관우농도적대류확산방정.압력방정유표준유한원방법핍근,농도방정칙용특정유한원방법핍근.재확산항계수반정정적정형득도핍근해적차우L2-모오차고계.
Seawater intrusion is modelled as a nonlinear system of coupled two parabolic partial differential euqaitons,of which one is the pressure flow equation and the other one is the concentration equation of convection-dispersion type. The pressure is approximated by a finite element method, and the concentration is approximated by the combination of a Galerkin finite element method and characteristics-finite element method. L2 - norm error estimates are derived under the assumption of only positive semi-definite diffusion coefficient.
