A Modified Finite Volume Approximation of Second-Order Elliptic Equations with Discontinuous Coefficients

DOI10.1137/S1064827599353877zbMath0999.65112OpenAlexW1992356485MaRDI QIDQ2780581

O. P. Iliev, Richard E. Ewing, Raytcho D. Lazarov

Publication date: 15 April 2002

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827599353877

zbMATH Keywords

convergenceconsistencyfinite volume methodnumerical experimentsfinite differencesinterface problemssecond-order elliptic equations with discontinuous coefficients

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) PDEs with low regular coefficients and/or low regular data (35R05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

A high order compact finite difference scheme for elliptic interface problems with discontinuous and high-contrast coefficients ⋮ A broken reproducing kernel method for the multiple interface problems ⋮ Monotone finite volume schemes for diffusion equation with imperfect interface on distorted meshes ⋮ High-order finite difference schemes for elliptic problems with intersecting interfaces ⋮ A three-dimensional mathematical and computational model of necrotizing enterocolitis ⋮ A Coupled Multiphysics Model and a Decoupled Stabilized Finite Element Method for the Closed-Loop Geothermal System ⋮ Multi-scale discontinuous Galerkin method for solving elliptic problems with curvilinear unidirectional rough coefficients ⋮ A simple and efficient preconditioning scheme for Heaviside enriched XFEM ⋮ Error estimates on a finite volume method for diffusion problems with interface on rectangular grids ⋮ A full discrete two-grid finite-volume method for a nonlinear parabolic problem ⋮ Direct discontinuous Galerkin method and its variations for second order elliptic equations ⋮ The semidiscrete finite volume element method for nonlinear convection-diffusion problem ⋮ A saddle point least squares approach for primal mixed formulations of second order PDEs ⋮ A finite volume scheme for an elliptic equation with heterogeneous coefficients. Application to a homogenization problem ⋮ Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems ⋮ Conservative fourth-order finite-volume Vlasov-Poisson solver for axisymmetric plasmas in cylindrical (\(r,v_r,v_\theta\)) phase space coordinates ⋮ Unnamed Item ⋮ Finite elements for elliptic problems with wild coefficients