Efficient nonlinear solvers for nodal high-order finite elements in 3D
From MaRDI portal
Publication:618615
DOI10.1007/s10915-010-9396-8zbMath1203.65245OpenAlexW2072132691MaRDI QIDQ618615
Publication date: 16 January 2011
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/20.500.11850/157780
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items
On Memory Traffic and Optimisations for Low-order Finite Element Assembly Algorithms on Multi-core CPUs, Low-Order Preconditioning for the High-Order Finite Element de Rham Complex, Solution of Nonlinear Stokes Equations Discretized By High-Order Finite Elements on Nonconforming and Anisotropic Meshes, with Application to Ice Sheet Dynamics, Comparison of multigrid algorithms for high‐order continuous finite element discretizations, Textbook Efficiency: Massively Parallel Matrix-Free Multigrid for the Stokes System, A Stencil Scaling Approach for Accelerating Matrix-Free Finite Element Implementations, Efficient Explicit Time Stepping of High Order Discontinuous Galerkin Schemes for Waves, High level implementation of geometric multigrid solvers for finite element problems: applications in atmospheric modelling, Computing the first eigenpair of the \(p\)-Laplacian via inverse iteration of sublinear supersolutions, The nested block preconditioning technique for the incompressible Navier-Stokes equations with emphasis on hemodynamic simulations, On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers, Comparison of implicit and explicit hybridizable discontinuous Galerkin methods for the acoustic wave equation, <scp>Time‐adaptive</scp> Adomian decomposition‐based numerical scheme for Euler equations, Local Fourier Analysis of p-Multigrid for High-Order Finite Element Operators, Multifield finite strain plasticity: theory and numerics, An improved iterative HDG approach for partial differential equations, Hybrid multigrid methods for high-order discontinuous Galerkin discretizations, A Variational Neural Network Approach for Glacier Modelling with Nonlinear Rheology, The Target-Matrix Optimization Paradigm for High-Order Meshes, MFEM: a modular finite element methods library, Efficient Low-Order Refined Preconditioners for High-Order Matrix-Free Continuous and Discontinuous Galerkin Methods, Matrix-free multigrid block-preconditioners for higher order discontinuous Galerkin discretisations, Scaling to the stars -- a linearly scaling elliptic solver for \(p\)-multigrid, The discontinuous Galerkin method: derivation and properties, High-performance implementation of discontinuous Galerkin methods with application in fluid flow, High-order methods for simulations in engineering, A scalable, matrix-free multigrid preconditioner for finite element discretizations of heterogeneous Stokes flow, Stencil Scaling for Vector-Valued PDEs on Hybrid Grids With Applications to Generalized Newtonian Fluids, A choice of forcing terms in inexact Newton iterations with application to pseudo-transient continuation for incompressible fluid flow computations, Automatic implementation of material laws: Jacobian calculation in a finite element code with TAPENADE, Matrix-free multigrid solvers for phase-field fracture problems, 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, A Performance Comparison of Continuous and Discontinuous Galerkin Methods with Fast Multigrid Solvers, Efficient high-order spectral element discretizations for building block operators of CFD, The Surrogate Matrix Methodology: A Priori Error Estimation, Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
- Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation
- Toward a universal h-p adaptive finite element strategy. III: Design of h-p meshes
- Piecewise bilinear preconditioning of high-order finite element method
- Chebyshev pseudospectral solution of second-order elliptic equations with finite element preconditioning
- Spectral methods for problems in complex geometries
- \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
- An adaptive refinement strategy for \(hp\)-finite element computations
- Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
- A fully automatic \(hp\)-adaptivity
- Algebraic multigrid for higher-order finite elements
- A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations
- Hybrid multigrid/Schwarz algorithms for the spectral element method
- Numerical solution of saddle point problems
- Finite-Element Preconditioning for Pseudospectral Solutions of Elliptic Problems
- How Fast are Nonsymmetric Matrix Iterations?
- MIXED hp-FEM ON ANISOTROPIC MESHES
- Enhanced Nonlinear Iterative Techniques Applied to a Nonequilibrium Plasma Flow
- A Note on Preconditioning for Indefinite Linear Systems
- Choosing the Forcing Terms in an Inexact Newton Method
- Spectral/hp Element Methods for Computational Fluid Dynamics
- CGM: A geometry interface for mesh generation, analysis and other applications
