A high order compact FD framework for elliptic BVPs involving singular sources, interfaces, and irregular domains

DOI10.1007/s10915-021-01570-4zbMath1480.65315OpenAlexW3183243946MaRDI QIDQ2051080

Dongdong He, Zhilin Li, Ke-jia Pan

Publication date: 1 September 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01570-4

zbMATH Keywords

discontinuous coefficientsgradientHelmholtz equationirregular domaininterface problemelliptic BVPhigh order compact Cartesian mesh methodIIM \& augmented IIM

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Error bounds for boundary value problems involving PDEs (65N15) Second-order elliptic equations (35J15) Finite difference methods for boundary value problems involving PDEs (65N06) Waves and radiation in optics and electromagnetic theory (78A40) Fictitious domain methods for boundary value problems involving PDEs (65N85)

Related Items (10)

High Order Compact Schemes for Flux Type BCs ⋮ A high order compact finite difference scheme for elliptic interface problems with discontinuous and high-contrast coefficients ⋮ A fourth-order compact implicit immersed interface method for 2D Poisson interface problems ⋮ An exact-interface-fitted mesh generator and linearity-preserving finite volume scheme for anisotropic elliptic interface problems ⋮ A compact sixth-order implicit immersed interface method to solve 2D Poisson equations with discontinuities ⋮ Sixth-order hybrid finite difference methods for elliptic interface problems with mixed boundary conditions ⋮ Accurate and efficient numerical methods for the nonlinear Schrödinger equation with Dirac delta potential ⋮ 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 ⋮ Sixth order compact finite difference schemes for Poisson interface problems with singular sources

Uses Software

• IIMPACK

Cites Work

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