Error estimates for the finite element solution of variational inequalities. Part I. primal theory

From MaRDI portal

Publication:1243115

Jump to:navigation, search

DOI10.1007/BF01404345zbMath0369.65030OpenAlexW2616717838WikidataQ57386838 ScholiaQ57386838MaRDI QIDQ1243115

William W. Hager, Franco Brezzi, Pierre-Arnaud Raviart

Publication date: 1977

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132496

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (only showing first 100 items - show all)

On the boundary element method for the Signorini problem of the Laplacian ⋮ On a solution of a generalized semi-coercive contact problem in thermo-elasticity ⋮ Finite element methods for the displacement obstacle problem of clamped plates ⋮ Adaptive finite difference methods for nonlinear elliptic and parabolic partial differential equations with free boundaries ⋮ Pointwise a posteriori error analysis of quadratic finite element method for the elliptic obstacle problem ⋮ Bubbles enriched quadratic finite element method for the 3D-elliptic obstacle problem ⋮ A nonconforming finite element approximation for optimal control of an obstacle problem ⋮ A note on the approximation of free boundaries by finite element methods ⋮ Finite element analysis for a class of nonlinear variational inequalities ⋮ Error estimates for the finite element solution of quasilinear obstacle problems^* ⋮ A weak Galerkin method with rectangle partitions for the Signorini problem ⋮ Discontinuous Galerkin methods for a contact problem with Tresca friction arising in linear elasticity ⋮ Analysis and approximation of a nonlocal obstacle problem ⋮ Unnamed Item ⋮ A partition of unity method for a class of fourth order elliptic variational inequalities ⋮ \(EQ^{\text{rot}}_1\) nonconforming finite element approximation to Signorini problem ⋮ A new analysis of discontinuous Galerkin methods for a fourth order variational inequality ⋮ A posteriori error estimates for elliptic variational inequalities ⋮ ACCURATE COMPUTATION OF ELECTRIC FIELD IN REVERSE‐BIASED SEMICONDUCTOR DEVICES: A MIXED FINITE‐ELEMENT APPROACH ⋮ Error estimates for an LDG method applied to Signorini type problems ⋮ Regularity results for \(p\)-Laplacians in pre-fractal domains ⋮ Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods ⋮ Sur une inéquation d'évolution parabolique du type II, associee à un problème d'asserviment thermique ⋮ Mixed finite element approximation of a fourth order variational inequality by the penalty method ⋮ Error analysis of HDG approximations for elliptic variational inequality: obstacle problem ⋮ A posteriori error estimates of virtual element method for a simplified friction problem ⋮ Semi-discrete stabilized finite element methods for Navier-Stokes equations with nonlinear slip boundary conditions based on regularization procedure ⋮ Convergence rates for the classical, thin and fractional elliptic obstacle problems ⋮ Convergence and superconvergence analysis of a nonconforming finite element method for solving the Signorini problem ⋮ Theory of variational inequalities with applications to problems of flow through porous media ⋮ \(L^\infty\)-error estimates for the obstacle problem revisited ⋮ A finite element approach to a quasi-variational inequality ⋮ Numerical methods for static shallow shells lying over an obstacle ⋮ Hierarchical error estimates for the energy functional in obstacle problems ⋮ Double set parameter finite element method for two-sided displacement obstacle problem of clamped plate ⋮ Variational inequality in classical plasticity. Applications to Armstrong-Frederick elasto-plastic model ⋮ Convergence of a penalty-finite element approximation for an obstacle problem ⋮ Boundary element methods for variational inequalities ⋮ Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem ⋮ A priori error estimate of virtual element method for a quasivariational-hemivariational inequality ⋮ Superconvergence analysis of finite element method for a second-type variational inequality ⋮ Unnamed Item ⋮ Sur l'approximation d'une I.Q.V. Liee à des problèmes d'infiltration en milieu poreux ⋮ On \(P_1\) nonconforming finite element aproximation for the Signorini problem ⋮ Inhomogeneous Dirichlet boundary condition in the \textit{a posteriori} error control of the obstacle problem ⋮ hp-FEM for the Contact Problem with Tresca Friction in Linear Elasticity: The Primal Formulation ⋮ Convergence analysis of \(P_{1}\) finite element method for free boundary problems on non-overlapping subdomains ⋮ A posteriori error estimates of discontinuous Galerkin methods for the Signorini problem ⋮ An analysis of finite volume element method for solving the Signorini problem ⋮ Dual-weighted residual a posteriori error estimates for a penalized phase-field slit discontinuity problem ⋮ Weak-Galerkin finite element methods for a second-order elliptic variational inequality ⋮ Space-time adaptive finite elements for nonlocal parabolic variational inequalities ⋮ L_∞-error estimate for the numerical treatment of the obstacle problem by the penalty method ⋮ Virtual element method for simplified friction problem ⋮ Superconvergence of finite element method for the Signorini problem ⋮ A boundary multivalued integral equation approach to the semipermeability problem ⋮ Verification of functional a posteriori error estimates for obstacle problem in 1D ⋮ Contact between elastic bodies. II. Finite element analysis ⋮ Mixed finite element methods for unilateral problems: convergence analysis and numerical studies ⋮ Error estimates of the weakly over-penalized symmetric interior penalty method for two variational inequalities ⋮ Superconvergence analysis of low order nonconforming finite element methods for variational inequality problem with displacement obstacle ⋮ Approximation of the signorini problem with friction, obeying the coulomb law ⋮ Parameters identification and optimal control in pharmacokinetics ⋮ A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates ⋮ An energy space finite element approach for elliptic Dirichlet boundary control problems ⋮ A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics ⋮ Error estimates for the implicit Euler approximation of an evolution inequality ⋮ On computational methods for variational inequalities. Consistent error estimation of FE-approximation ⋮ A unified framework for high-order numerical discretizations of variational inequalities ⋮ A partition of unity method for the displacement obstacle problem of clamped Kirchhoff plates ⋮ Boundary element methods for Dirichlet boundary control problems ⋮ A C ⁰ interior penalty method for a fourth-order variational inequality of the second kind ⋮ Efficient and reliable hierarchical error estimates for the discretization error of elliptic obstacle problems ⋮ On the duality methods for the contact problem in elasticity ⋮ Solving the Signorini problem on the basis of domain decomposition techniques ⋮ Convergence analysis of symmetric dual-wind discontinuous Galerkin approximation methods for the obstacle problem ⋮ Hybrid high-order methods for the elliptic obstacle problem ⋮ Variationally consistent discretization schemes and numerical algorithms for contact problems ⋮ Error control in h- and hp-adaptive FEM for Signorini's problem ⋮ Virtual element methods for elliptic variational inequalities of the second kind ⋮ Numerical implementation of two nonconforming finite element methods for unilateral contact ⋮ A mimetic discretization of elliptic obstacle problems ⋮ A two level algorithm for an obstacle problem ⋮ Positivity preserving gradient approximation with linear finite elements ⋮ Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem ⋮ Adaptive inexact semismooth Newton methods for the contact problem between two membranes ⋮ Numerical solution of the obstacle problem by the penalty method ⋮ Unnamed Item ⋮ A multilevel iterative method for symmetric, positive definite linear complementarity problems ⋮ Dual finite element analysis for some elliptic variational equations and inequalities ⋮ An efficient and reliable residual-type a posteriori error estimator for the Signorini problem ⋮ Unilateral contact between a plate and an elastic foundation ⋮ On constrained multivariate splines and their approximations ⋮ Convergence analysis of a symmetric dual-wind discontinuous Galerkin method for a parabolic variational inequality ⋮ On finite element approximation in the \(L^{\infty}\)-norm of variational inequalities ⋮ A posteriori error control of discontinuous Galerkin methods for elliptic obstacle problems ⋮ Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin methods ⋮ Convergence analysis of multilevel Monte Carlo variance estimators and application for random obstacle problems ⋮ Nonconforming double set parameter finite element methods for a fourth order variational inequality with two-sided displacement obstacle ⋮ Quadratic finite element methods for unilateral contact problems

Cites Work

This page was built for publication: Error estimates for the finite element solution of variational inequalities. Part I. primal theory

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:1243115&oldid=13326939"