Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data

被引:23
|
作者
Chen, HS [1 ]
Ewing, R [1 ]
Lazarov, R [1 ]
机构
[1] Texas A&M Univ, Inst Sci Computat, College Stn, TX 77840 USA
关键词
D O I
10.1007/s002110050323
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A semidiscrete mixed finite element approximation to parabolic initial-boundary value problems is introduced and analyzed. Superconvergence estimates for both pressure and velocity are obtained. The estimates for the errors in pressure and velocity depend on the smoothness of the initial data including the limiting cases of data in L-2 and data in H-r, for r sufficiently large. Because of the smoothing properties of the parabolic operator, these estimates for large time levels essentially coincide with the estimates obtained earlier for smooth solutions. However, for small time intervals we obtain the correct convergence orders for nonsmooth data.
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页码:495 / 521
页数:27
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