Algebraic multigrid methods for dual mortar finite element formulations in contact mechanics
DOI10.1002/nme.5748zbMath1548.74919MaRDI QIDQ6569241
Wolfgang A. Wall, Alexander Popp, Michael W. Gee, Tobias A. Wiesner
Publication date: 8 July 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
iterative linear solversmortar methodsalgebraic multigrid methodsdual mortar approachstructural contact problems
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Cites Work
- Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS
- Segment-based vs. element-based integration for mortar methods in computational contact mechanics
- Contact treatment in isogeometric analysis with NURBS
- Optimally scaled matrices
- A contact searching algorithm including bounding volume trees applied to finite sliding mortar formulations
- A mixed formulation for frictional contact problems prone to Newton like solution methods
- Energy optimization of algebraic multigrid bases
- Iterative solution of large sparse systems of equations. Transl. from the German
- A mortar segment-to-segment contact method for large deformation solid mechanics.
- A multigrid method for saddle point problems arising from mortar finite element discretizations
- Isogeometric mortar methods
- A semi-smooth Newton method for orthotropic plasticity and frictional contact at finite strains
- Preconditioning techniques for large linear systems: A survey
- Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
- A new pivoting strategy for Gaussian elimination
- An abstract framework for a priori estimates for contact problems in 3D with quadratic finite elements
- The mortar finite element method with Lagrange multipliers
- Large deformation frictional contact mechanics: Continuum formulation and augmented Lagrangian treatment
- A nonsmooth version of Newton's method
- Isogeometric dual mortar methods for computational contact mechanics
- Improved robustness and consistency of 3D contact algorithms based on a dual mortar approach
- A primal--dual active set strategy for nonlinear multibody contact problems
- Condition numbers and equilibration of matrices
- A mortar segment-to-segment frictional contact method for large deformations
- On Algorithms For Permuting Large Entries to the Diagonal of a Sparse Matrix
- A Multigrid Method Based on the Unconstrained Product Space for Mortar Finite Element Discretizations
- A large deformation frictional contact formulation using NURBS-based isogeometric analysis
- An augmentation technique for large deformation frictional contact problems
- Three-dimensional numerical solution for wear prediction using a mortar contact algorithm
- A dual Lagrange method for contact problems with regularized contact conditions
- A new smoothed aggregation multigrid method for anisotropic problems
- A dual mortar approach for 3D finite deformation contact with consistent linearization
- Finite deformation frictional mortar contact using a semi-smooth Newton method with consistent linearization
- Variationally consistent discretization schemes and numerical algorithms for contact problems
- Dual Quadratic Mortar Finite Element Methods for 3D Finite Deformation Contact
- Algebraic multigrid methods for constrained linear systems with applications to contact problems in solid mechanics
- Unilateral non-linear dynamic contact of thin-walled structures using a primal-dual active set strategy
- A Primal-Dual Active Set Algorithm for Three-Dimensional Contact Problems with Coulomb Friction
- A finite deformation mortar contact formulation using a primal-dual active set strategy
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Formulation and comparison of algorithms for frictional contact problems
- Algebraic multigrid methods for the solution of the Navier-Stokes equations in complicated geometries
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- Duality Estimates and Multigrid Analysis for Saddle Point Problems Arising from Mortar Discretizations
- A 3D mortar method for solid mechanics
- A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
- The Design and Use of Algorithms for Permuting Large Entries to the Diagonal of Sparse Matrices
- Isogeometric contact: a review
- A New Petrov–Galerkin Smoothed Aggregation Preconditioner for Nonsymmetric Linear Systems
- SuperLU_DIST
- Computational Contact Mechanics
- Multigrid transfers for nonsymmetric systems based on Schur complements and Galerkin projections
- A $\cal V $-cycle Multigrid Approach for Mortar Finite Elements
- Discretization methods and iterative solvers based on domain decomposition
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