A high order compact finite difference scheme for elliptic interface problems with discontinuous and high-contrast coefficients

DOI10.1016/j.amc.2022.127314OpenAlexW3162831649MaRDI QIDQ2152712

Yanyan Li

Publication date: 11 July 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.04600

zbMATH Keywords

discontinuouscell-wise smooth and high-contrast coefficientselliptic interface equationshigh order compact finite difference schemestwo non-homogeneous jump conditions

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Second-order elliptic equations (35J15) Finite difference methods for boundary value problems involving PDEs (65N06) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (4)

A FFT accelerated fourth order finite difference method for solving three-dimensional elliptic interface problems ⋮ Sixth-order hybrid finite difference methods for elliptic interface problems with mixed boundary conditions ⋮ Sixth-Order Compact Finite Difference Method for 2D Helmholtz Equations with Singular Sources and Reduced Pollution Effect ⋮ Compact 9-point finite difference methods with high accuracy order and/or M-matrix property for elliptic cross-interface problems

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