An A Posteriori Analysis of $C^0$ Interior Penalty Methods for the Obstacle Problem of Clamped Kirchhoff Plates
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Publication:2957844
DOI10.1137/15M1039444zbMath1381.74129arXiv1511.08337MaRDI QIDQ2957844
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Publication date: 30 January 2017
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.08337
discontinuous Galerkin methodsobstacle problemKirchhoff platesa posteriori analysisfourth order variational inequalitiesadaptive, \(C^0\) interior penalty methods
Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for variational inequalities and related problems (65K15)
Related Items (10)
A cubic \(C^{\mathbf{0}}\) interior penalty method for elliptic distributed optimal control problems with pointwise state and control constraints ⋮ Conforming finite element methods for two-dimensional linearly elastic shallow shell and clamped plate models ⋮ $C^0$ Interior Penalty Methods for an Elliptic Distributed Optimal Control Problem on Nonconvex Polygonal Domains with Pointwise State Constraints ⋮ Finite element theory on curved domains with applications to discontinuous Galerkin finite element methods ⋮ Adaptive finite element methods for a fourth order obstacle problem and a state constrained optimal control problem ⋮ Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise State Constraints (Survey) ⋮ \(C^0\) interior penalty methods for an elliptic state-constrained optimal control problem with Neumann boundary condition ⋮ A stabilised finite element method for the plate obstacle problem ⋮ Virtual enriching operators ⋮ A New Convergence Analysis of Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise State Constraints
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