Extending a new two-grid waveform relaxation on a spatial finite element discretization

DOI10.22034/cmde.2020.37349.1653zbMath1490.65196OpenAlexW3132112395MaRDI QIDQ5076613

Noora Habibi, Ali Mesforush

Publication date: 17 May 2022

Full work available at URL: https://cmde.tabrizu.ac.ir/article_12110.html

zbMATH Keywords

finite element methodwaveform relaxation methodmultigrid acceleration

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Cites Work

• Multi-grid dynamic iteration for parabolic equations
• A fast and efficient two-grid method for solving \(d\)-dimensional Poisson equations
• A C ⁰ finite element method for the biharmonic problem without extrinsic penalization
• Multigrid Techniques
• Convergence of Dynamic Iteration Methods for Initial Value Problems
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• Multigrid Waveform Relaxation on Spatial Finite Element Meshes: The Discrete-Time Case
• Multigrid Waveform Relaxation of Spatial Finite Element Meshes: The Continuous-Time Case
• The speed of convergence of one iterative process
• A relaxation method for solving elliptic difference equations
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