A finite difference method for self-adjoint elliptic equations in three dimensions

DOI10.1016/S0096-3003(02)00632-XzbMath1032.65117MaRDI QIDQ1412570

Godfrey Saldanha

Publication date: 25 November 2003

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

zbMATH Keywords

numerical resultsDirichlet boundary conditionserror bounditerative methodsfinite difference methodsself-adjoint elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

Single cell high order difference schemes for Poisson's equation in three variables ⋮ A fourth-order kernel-free boundary integral method for implicitly defined surfaces in three space dimensions ⋮ A family of compact finite difference formulations for three-space dimensional nonlinear Poisson's equations in Cartesian coordinates

Cites Work

• Differential equations for the magnetic confinement of a plasma
• Single cell discretizations of order two and four for self-adjoint elliptic equations
• High-order difference schemes for two-dimensional elliptic equations
• Technical note: A fourth-order finite difference scheme for a system of a 2D nonlinear elliptic partial differential equations
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