A multigrid waveform relaxation method for solving the poroelasticity equations

DOI10.1007/s40314-018-0603-9zbMath1402.65177OpenAlexW2792530514WikidataQ130156338 ScholiaQ130156338MaRDI QIDQ1993472

S. R. Franco, M. A. V. Pinto, Carmen Rodrigo, Francisco José Gaspar

Publication date: 5 November 2018

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

Full work available at URL: https://doi.org/10.1007/s40314-018-0603-9

zbMATH Keywords

poroelasticitymultigrid waveform relaxationsemi-algebraic mode analysisVanka smootherspace-time grids

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (3)

Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity ⋮ Tuning Multigrid Methods with Robust Optimization and Local Fourier Analysis ⋮ Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity

Uses Software

• Wesseling
• LFA

Cites Work

• On a local Fourier analysis for overlapping block smoothers on triangular grids
• Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach
• Multigrid relaxation methods for systems of saddle point type
• A fully coupled 3-D mixed finite element model of Biot consolidation
• Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
• Multi-grid dynamic iteration for parabolic equations
• Multigrid line smoothers for higher order upwind discretizations of convection- dominated problems
• A finite difference analysis of Biot's consolidation model
• Stability and monotonicity for some discretizations of the Biot's consolidation model
• Stable Cell-Centered Finite Volume Discretization for Biot Equations
• 50 Years of Time Parallel Time Integration
• Local Fourier analysis for multigrid with overlapping smoothers applied to systems of PDEs
• Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
• A generalized predictive analysis tool for multigrid methods
• Numerical stabilization of Biot's consolidation model by a perturbation on the flow equation
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• Rigorous Quantitative Analysis of Multigrid, I. Constant Coefficients Two-Level Cycle with $L_2 $-Norm
• Multigrid Waveform Relaxation for the Time-Fractional Heat Equation
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