Alternating Direction Finite Element Method for a Class of Moving Boundary Problems

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Abstract

An alternating direction finite element scheme for a class of moving boundary problems is studied. Using coordinate transformations of the spatial variants, a new domain independent of the time is obtained and an ADFE scheme on the new domain is proposed. Then the unique solvability of the approximation scheme is proved, and optimal H1 and L2 norm space estimates and O((Δt)2) estimate for the temporal variant are obtained. © Springer-Verlag 2004.

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Liu, X. Z., Cui, X., Yong, J. H., & Sun, J. G. (2004). Alternating Direction Finite Element Method for a Class of Moving Boundary Problems. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3314, 44–50. https://doi.org/10.1007/978-3-540-30497-5_8

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