Abstract
A technique combining the Rothe method with the immersed interface method (IIM) of R. Leveque and Z. Li, [8] for numerical solution of parabolic interface problems in which the jump of the flux is proportional to a given function of the solution is developed. The equations are discretized in time by Rothe’s method. The space discretization on each time level is performed by the IIM. Numerical experiments are presented.
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Kandilarov, J.D. (2005). A Rothe-Immersed Interface Method for a Class of Parabolic Interface Problems. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_39
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DOI: https://doi.org/10.1007/978-3-540-31852-1_39
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