A Hybrid High-Order Discretization Combined with Nitsche's Method for Contact and Tresca Friction in Small Strain Elasticity
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[1] Franz Chouly,et al. A Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis , 2013, SIAM J. Numer. Anal..
[2] Alexandre Ern,et al. An Unfitted Hybrid High-Order Method for Elliptic Interface Problems , 2017, SIAM J. Numer. Anal..
[3] Haim Brezis,et al. Équations et inéquations non linéaires dans les espaces vectoriels en dualité , 1968 .
[4] I. Dione. Optimal convergence analysis of the unilateral contact problem with and without Tresca friction conditions by the penalty method , 2019, Journal of Mathematical Analysis and Applications.
[5] Barbara Wohlmuth,et al. Variationally consistent discretization schemes and numerical algorithms for contact problems* , 2011, Acta Numerica.
[6] Alexandre Ern,et al. Hybrid High-Order methods for finite deformations of hyperelastic materials , 2017, ArXiv.
[7] P. Hild,et al. Residual-based a posteriori error estimation for contact problems approximated by Nitsche’s method , 2018 .
[8] Alexandre Ern,et al. Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods , 2016 .
[9] Daniele A. Di Pietro,et al. A Hybrid High-Order Method for Nonlinear Elasticity , 2017, SIAM J. Numer. Anal..
[10] Raytcho D. Lazarov,et al. Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems , 2009, SIAM J. Numer. Anal..
[11] Guillaume Drouet,et al. Optimal Convergence for Discrete Variational Inequalities Modelling Signorini Contact in 2D and 3D without Additional Assumptions on the Unknown Contact Set , 2015, SIAM J. Numer. Anal..
[12] R. Kornhuber,et al. Variational formulation of rate‐ and state‐dependent friction problems , 2015 .
[13] Franz Chouly,et al. Symmetric and non-symmetric variants of Nitsche's method for contact problems in elasticity: theory and numerical experiments , 2014, Math. Comput..
[14] Peter Wriggers,et al. A virtual element method for contact , 2016 .
[15] Jean-Luc Guermond,et al. Finite element quasi-interpolation and best approximation , 2015, 1505.06931.
[16] Weimin Han,et al. A posteriori error analysis for finite element solutions of a frictional contact problem , 2006 .
[17] K. Lipnikov,et al. The nonconforming virtual element method , 2014, 1405.3741.
[18] W. Han,et al. Discontinuous Galerkin methods for solving the Signorini problem , 2011, IMA Journal of Numerical Analysis.
[19] Franz Chouly,et al. On convergence of the penalty method for unilateral contact problems , 2012, 1204.4136.
[20] M. Zhao,et al. Error analysis of HDG approximations for elliptic variational inequality: obstacle problem , 2018, Numerical Algorithms.
[21] Alexandre Ern,et al. Hybrid high-order discretizations combined with Nitsche’s method for Dirichlet and Signorini boundary conditions , 2020 .
[22] A. Ern,et al. A Hybrid High-Order method for the incompressible Navier-Stokes equations based on Temam's device , 2018, J. Comput. Phys..
[23] Franz Chouly,et al. An unbiased Nitsche’s approximation of the frictional contact between two elastic structures , 2018, Numerische Mathematik.
[24] J. Oden,et al. Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods , 1987 .
[25] Fei Wang,et al. Virtual element method for simplified friction problem , 2018, Appl. Math. Lett..
[26] Alexandre Ern,et al. A Hybrid High-Order method for incremental associative plasticity with small deformations , 2018, Computer Methods in Applied Mechanics and Engineering.
[27] Alexandre Ern,et al. An Arbitrary-Order and Compact-Stencil Discretization of Diffusion on General Meshes Based on Local Reconstruction Operators , 2014, Comput. Methods Appl. Math..
[28] Patrick Hild,et al. An Improved a Priori Error Analysis for Finite Element Approximations of Signorini's Problem , 2012, SIAM J. Numer. Anal..
[29] Alexandre Ern,et al. A Hybrid High‐Order method for finite elastoplastic deformations within a logarithmic strain framework , 2019, International Journal for Numerical Methods in Engineering.
[30] Matteo Cicuttin,et al. Implementation of Discontinuous Skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming , 2018, J. Comput. Appl. Math..
[31] P. Hild,et al. The Local Average Contact (LAC) method , 2018, Computer Methods in Applied Mechanics and Engineering.
[32] Franz Chouly,et al. An adaptation of Nitscheʼs method to the Tresca friction problem , 2014 .
[33] M. Gunzburger,et al. Weak-Galerkin finite element methods for a second-order elliptic variational inequality , 2018, Computer Methods in Applied Mechanics and Engineering.
[34] P. Alart,et al. A generalized Newton method for contact problems with friction , 1988 .
[35] A. Ern,et al. Mathematical Aspects of Discontinuous Galerkin Methods , 2011 .