A Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis

From MaRDI portal
Publication:2840399

DOI10.1137/12088344XzbMath1268.74033OpenAlexW1985822578MaRDI QIDQ2840399

Patrick Hild, Franz Chouly

Publication date: 18 July 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/12088344x



Related Items

A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche's method, A consistent computational approach for general fluid-poroelasticity-structure-contact interaction problems, Nonstandard finite element methods. Abstracts from the workshop held January 10--16, 2021 (hybrid meeting), A variant of Nitsche's method, Scalable preconditioning for the stabilized contact mechanics problem, A generalized multigrid method for solving contact problems in Lagrange multiplier based unfitted finite element method, A mechanically consistent model for fluid-structure interactions with contact including seepage, Nitsche's finite element method for model coupling in elasticity, Shape optimization of a linearly elastic rolling structure under unilateral contact using Nitsche's method and cut finite elements, CutFEM Method for Stefan--Signorini Problems with Application in Pulsed Laser Ablation, An unbiased Nitsche's approximation of the frictional contact between two elastic structures, Boundary augmented Lagrangian method for contact problems in linear elasticity, Nitsche method for contact with Coulomb friction: existence results for the static and dynamic finite element formulations, A weighted Nitsche stabilized method for small-sliding contact on frictional surfaces, An XFEM/DG approach for fluid-structure interaction problems with contact., Mixed-dimensional coupling for time-dependent wave problems using the Nitsche method, Higher order Galerkin-collocation time discretization with Nitsche's method for the Navier-Stokes equations, Nitsche's method for finite deformation thermomechanical contact problems, Optimal convergence analysis of the unilateral contact problem with and without Tresca friction conditions by the penalty method, The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem, A shape optimization algorithm based on directional derivatives for three‐dimensional contact problems, Time domain boundary elements for elastodynamic contact, Mixed and Stabilized Finite Element Methods for the Obstacle Problem, Mixed and Nitsche's discretizations of Coulomb frictional contact-mechanics for mixed dimensional poromechanical models, Discontinuous Galerkin methods for hemivariational inequalities in contact mechanics, On finite element formulations for the obstacle problem -- mixed and stabilised methods, Residual a posteriori error estimation for frictional contact with Nitsche method, A Nitsche-based formulation for fluid-structure interactions with contact, A displacement‐driven approach to frictional contact mechanics, Error estimates of piezoelectric Signorini's contact problems, Weak Imposition of Signorini Boundary Conditions on the Boundary Element Method, Stable IMEX schemes for a Nitsche-based approximation of elastodynamic contact problems. Selective mass scaling interpretation, The Nitsche method applied to a class of mixed-dimensional coupling problems, A Hybrid High-Order Discretization Combined with Nitsche's Method for Contact and Tresca Friction in Small Strain Elasticity, A control problem approach to Coulomb's friction, Augmented Lagrangian Method for Thin Plates with Signorini Boundaries, An adaptive finite element method for the inequality-constrained Reynolds equation, Skew-symmetric Nitsche's formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact, A contact algorithm for voxel-based meshes using an implicit boundary representation, A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems, Symmetric and non-symmetric variants of Nitsche’s method for contact problems in elasticity: theory and numerical experiments, An adaptation of Nitsche's method to the Tresca friction problem, Algebraically stabilized Lagrange multiplier method for frictional contact mechanics with hydraulically active fractures, First-order least-squares method for the obstacle problem, Nitsche-based models for the unilateral contact of plates, Error analysis of the compliance model for the Signorini problem, A priori error estimates of discontinuous Galerkin methods for a quasi-variational inequality, A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. I: Single interface, A fictitious domain method for frictionless contact problems in elasticity using Nitsche’s method, On Nitsche's Method for Elastic Contact Problems, Galerkin least squares finite element method for the obstacle problem, An efficient patch-to-patch method for coupling independent finite element subdomains with intersecting interfaces, A cut finite-element method for fracture and contact problems in large-deformation solid mechanics, Augmented Lagrangian finite element methods for contact problems, A nonlinear consistent penalty method weakly enforcing positivity in the finite element approximation of the transport equation, An unbiased Nitsche's formulation of large deformation frictional contact and self-contact, Embedded shell finite elements: solid-shell interaction, surface locking, and application to image-based bio-structures, Nitsche's method for unilateral contact problems, Virtual element method for a frictional contact problem with normal compliance, Boundary element and augmented Lagrangian methods for contact problem with Coulomb friction, Reactive flows in deformable, complex media. Abstracts from the workshop held August 26 -- September 1, 2018, A Nitsche finite element method for dynamic contact: 1. Space semi-discretization and time-marching schemes, Sensitivity analysis of a Tresca-Type Problem leads to Signorini’s conditions, Comparison of two projection methods for the solution of frictional contact problems, An augmented Lagrangian method for the Signorini boundary value problem with BEM, Sensitivity analysis of a scalar mechanical contact problem with perturbation of the Tresca's friction law