Optimal multigrid methods with new transfer operators based on finite difference approximations

DOI10.1007/s10440-009-9533-2zbMath1192.65150OpenAlexW2014327818MaRDI QIDQ982232

Zhi-yong Liu

Publication date: 6 July 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9533-2

zbMATH Keywords

finite difference methodnumerical examplesmultigrid methodsinterpolation operator

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

Cascadic Newton’s method for the elliptic Monge–Ampère equation ⋮ Optimized partial semicoarsening multigrid algorithm for heat diffusion problems and anisotropic grids ⋮ Linear, second-order accurate, and energy stable scheme for a ternary Cahn-Hilliard model by using Lagrange multiplier approach

Cites Work

• Unnamed Item
• Black box multigrid
• Discretisation and multigrid solution of elliptic equations with mixed derivative terms and strongly discontinuous coefficients
• Robust multigrid methods for nonsmooth coefficient elliptic linear systems
• Convergence Estimates for Multigrid Algorithms without Regularity Assumptions
• The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients
• Iterative Methods by Space Decomposition and Subspace Correction

This page was built for publication: Optimal multigrid methods with new transfer operators based on finite difference approximations