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math.NA2021★ 2 cited
A High Order Compact Finite Difference Scheme for Elliptic Interface Problems with Discontinuous and High-Contrast Coefficients
Qiwei Feng, Bin Han, Peter Minev
The elliptic interface problems with discontinuous and high-contrast coefficients appear in many applications and often lead to huge condition numbers of the corresponding linear s…
math.NA2021★ 1 cited
Sixth Order Compact Finite Difference Scheme for Poisson Interface Problem with Singular Sources
Qiwei Feng, Bin Han, Peter Minev
Let be a smooth curve inside a two-dimensional rectangular region . In this paper, we consider the Poisson interface problem in with Dirichlet…