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Error estimates for mixed finite element approximations to a linear Stefan problem

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Abstract

We introduce a semidiscrete mixed finite element approximation for the single-phase linear Stefan problem and show the unique existence of the approximation. And the optimal rate of convergence inL 2 andH 1 norms are derived.

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Authors and Affiliations

  1. Division of Mathematical Sciences, Pykyong National University, 608-737, Korea

    M. H. Ann & J. Y. Shin

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  1. M. H. Ann
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  2. J. Y. Shin
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Additional information

Min Hee Ann received her BS degree from Pusan National University and his degree of Master of Education from Pukyong National University under the direction of Professor J. Y. Shin.

Jun Yong Shin received his BS degree from Pusan National University and his Ph.D degree from University of Texas at Arlington under the direction of Professor R. Kannan. He is an associate professor at Pukyong National University. His research interests are focussed on the numerical analysis for partial differential equations.

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Ann, M.H., Shin, J.Y. Error estimates for mixed finite element approximations to a linear Stefan problem. JAMC 15, 251–264 (2004). https://doi.org/10.1007/BF02935759

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  • DOI: https://doi.org/10.1007/BF02935759

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