Mixed and Stabilized Finite Element Methods for the Obstacle Problem
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Publication:4594903
DOI10.1137/16M1065422zbMath1378.65135arXiv1603.04257OpenAlexW3102985974MaRDI QIDQ4594903
Juha H. Videman, Tom Gustafsson, Rolf Stenberg
Publication date: 27 November 2017
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.04257
Variational inequalities (49J40) Newton-type methods (49M15) Numerical methods for variational inequalities and related problems (65K15)
Related Items (17)
Uzawa block relaxation method for free boundary problem with unilateral obstacle ⋮ A Nitsche method for the elastoplastic torsion problem ⋮ Mortaring for linear elasticity using mixed and stabilized finite elements ⋮ On finite element formulations for the obstacle problem -- mixed and stabilised methods ⋮ On the finite element approximation of the obstacle problem of a Naghdi shell ⋮ A stabilised finite element method for the plate obstacle problem ⋮ An adaptive finite element method for the inequality-constrained Reynolds equation ⋮ First-order least-squares method for the obstacle problem ⋮ Convergence analysis of symmetric dual-wind discontinuous Galerkin approximation methods for the obstacle problem ⋮ On Nitsche's Method for Elastic Contact Problems ⋮ Hybrid high-order methods for the elliptic obstacle problem ⋮ Error analysis of Nitsche's mortar method ⋮ Nitsche's method for unilateral contact problems ⋮ Mixed finite elements for Bingham flow in a pipe ⋮ Stabilized finite elements for Tresca friction problem ⋮ Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin methods ⋮ A multiscale method for the heterogeneous Signorini problem
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