Abstract
General elliptic interface problem with variable coefficients and curvilinear interface is transformed into analogous problem with rectilinear interface. For the numerical solution of transformed problem a finite difference scheme with averaged right–hand side is proposed. Convergence rate estimate in discrete W 2 1 norm, compatible with the smoothness of data, is obtained.
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Jovanović, B.S., Vulkov, L.G. (2005). Finite Difference Approximation of an Elliptic Interface Problem with Variable Coefficients. 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_5
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DOI: https://doi.org/10.1007/978-3-540-31852-1_5
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