An efficient method for solving highly anisotropic elliptic equations

DOI10.1016/j.jcp.2011.06.022zbMath1241.65088arXiv1103.0298OpenAlexW1993544967MaRDI QIDQ414000

Alberto Scotti, Edward Santilli

Publication date: 8 May 2012

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.0298

zbMATH Keywords

convergencefinite difference methodnumerical examplescondition numberNeumann boundary conditionsNavier-Stokes equationPoisson equationeigenfunction expansioniterative methods for linear systemsmulti-scale methodsboundary value problems for second-order elliptic systemspreconditioners for iterative methodssolution of discretized equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Navier-Stokes equations (35Q30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Preconditioners for iterative methods (65F08)

Related Items

Deflation-accelerated preconditioning of the Poisson-Neumann Schur problem on long domains with a high-order discontinuous element-based collocation method, The stratified ocean model with adaptive refinement (SOMAR)

Uses Software

• PETSc

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An asymptotic-preserving method for highly anisotropic elliptic equations based on a micro-macro decomposition
• An asymptotic preserving scheme for the Euler equations in a strong magnetic field
• A numerical study of optimized sparse preconditioners
• Preserving monotonicity in anisotropic diffusion
• Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes
• An Asymptotic Preserving Scheme for Strongly Anisotropic Elliptic Problems
• Fourier Analysis of Iterative Methods for Elliptic pr
• Iterative Krylov Methods for Large Linear Systems
• Accurate projection methods for the incompressible Navier-Stokes equations