Solution of Nonlinear Stokes Equations Discretized By High-Order Finite Elements on Nonconforming and Anisotropic Meshes, with Application to Ice Sheet Dynamics
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Publication:3452480
DOI10.1137/140974407zbMath1327.65242arXiv1406.6573OpenAlexW1910855269MaRDI QIDQ3452480
Georg Stadler, Tobin Isaac, Omar Ghattas
Publication date: 12 November 2015
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.6573
preconditioningmultigridshear-thinningviscous incompressible flowNewton-Krylov methodhigh-order finite elementsantarctic ice sheetnonlinear Stokes equationsice sheet modeling
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Newton-type methods (49M15) Non-Newtonian fluids (76A05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Preconditioners for iterative methods (65F08)
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Uses Software
Cites Work
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- Development of a Stokes flow solver robust to large viscosity jumps using a Schur complement approach with mixed precision arithmetic
- Efficient nonlinear solvers for nodal high-order finite elements in 3D
- Handbook of numerical analysis. Vol XVI. Special Volume: Numerical methods for non-Newtonian fluids.
- Parallel scalable adjoint-based adaptive solution of variable-viscosity Stokes flow problems
- Analysis and finite element approximation of a nonlinear stationary Stokes problem arising in glaciology
- Scalable and efficient algorithms for the propagation of uncertainty from data through inference to prediction for large-scale problems, with application to flow of the antarctic ice sheet
- Piecewise bilinear preconditioning of high-order finite element method
- A monolithic FEM-multigrid solver for non-isothermal incompressible flow on general meshes
- Mixed \(hp\)-finite element approximations on geometric edge and boundary layer meshes in three dimensions
- Algebraic multigrid for higher-order finite elements
- Glaciers and laws of friction and sliding
- Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
- The Stability of Mixed hp-Finite Element Methods for Stokes Flow on High Aspect Ratio Elements
- A new smoothed aggregation multigrid method for anisotropic problems
- Finite-Element Preconditioning of G-NI Spectral Methods
- p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
- An Iterative Method for the Stokes-Type Problem with Variable Viscosity
- Algebraic multigrid for finite element elasticity equations: Determination of nodal dependence via edge-matrices and two-level convergence
- Finite-Element Preconditioning for Pseudospectral Solutions of Elliptic Problems
- Algebraic Multigrid Preconditioning of High-Order Spectral Elements for Elliptic Problems on a Simplicial Mesh
- On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes
- Influence of Gauss and Gauss‐Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain
- An Incomplete Factorization Technique for Positive Definite Linear Systems
- Numerical Optimization
- High-Order Methods for Incompressible Fluid Flow
- Choosing the Forcing Terms in an Inexact Newton Method
- A Flexible Inner-Outer Preconditioned GMRES Algorithm
- Achieving Textbook Multigrid Efficiency for Hydrostatic Ice Sheet Flow
- Efficient Variable-Coefficient Finite-Volume Stokes Solvers
- Block Preconditioners Based on Approximate Commutators
- Convergence of algebraic multigrid based on smoothed aggregation
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