Finite element methods for semilinear parabolic interface problems |
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| Authors: | Rajen Kumar Sinha Bhupen Deka |
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| Affiliation: | 1. Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati – 781 039, India;2. Department of Mathematics, Assam University, Silchar – 788 011, India |
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| Abstract: | In this exposition we study the finite element methods for second-order semilinear parabolic interface problems in two dimensional convex polygonal domains with smooth interface. Both semidiscrete and fully discrete schemes are analyzed. Optimal order error estimates in the L2(0, T; H1(Ω))-norm are established. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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