Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data |
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Authors: | Hongsen Chen Richard Ewing Raytcho Lazarov |
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Institution: | (1) Institute for Scientific Computation, Texas A&M University, College Station, TX 77840, USA , US |
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Abstract: | Summary. 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 and data in , for 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.
Received July 30, 1995 / Revised version received October 14, 1996 |
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Keywords: | Mathematics Subject Classification (1991):65M30 65N30 |
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