Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods
From MaRDI portal
Publication:1136490
DOI10.1007/BF01396010zbMath0427.65077OpenAlexW1513782764WikidataQ57386834 ScholiaQ57386834MaRDI QIDQ1136490
Franco Brezzi, William W. Hager, Pierre-Arnaud Raviart
Publication date: 1978
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/132563
variational inequalitiesobstacle problemmixed finite element approximationoptimal error boundsunilateral problem
Variational inequalities (49J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
A Stokes model with cavitation for the numerical simulation of hydrodynamic lubrication ⋮ Hybridization and stabilization for \textit{hp}-finite element methods ⋮ A note on the approximation of free boundaries by finite element methods ⋮ A mixed finite element method for the unilateral contact problem in elasticity ⋮ A posteriori error control and adaptivity of \(hp\)-finite elements for mixed and mixed-hybrid methods ⋮ A partition of unity method for a class of fourth order elliptic variational inequalities ⋮ A Uzawa algorithm with multigrid solver for a bilateral obstacle problem ⋮ ACCURATE COMPUTATION OF ELECTRIC FIELD IN REVERSE‐BIASED SEMICONDUCTOR DEVICES: A MIXED FINITE‐ELEMENT APPROACH ⋮ Stable model reduction for linear variational inequalities with parameter-dependent constraints ⋮ 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 ⋮ GLS methods for Stokes equations under boundary condition of friction type: formulation -- analysis -- numerical schemes and simulations ⋮ Semi-discrete stabilized finite element methods for Navier-Stokes equations with nonlinear slip boundary conditions based on regularization procedure ⋮ Error identities for variational problems with obstacles ⋮ An active‐set mixed finite element solver for a transient hydrodynamic lubrication problem in the presence of cavitation ⋮ Mixed and Stabilized Finite Element Methods for the Obstacle Problem ⋮ Analysis of a mixed formulation of a bilateral obstacle problem ⋮ On finite element formulations for the obstacle problem -- mixed and stabilised methods ⋮ A slack approach to reduced-basis approximation and error estimation for variational inequalities ⋮ On the finite element approximation of the obstacle problem of a Naghdi shell ⋮ Efficient Discrete Lagrange Multipliers in three first-order finite element discretizations for the A Posteriori Error Control in an Obstacle Problem ⋮ Convergence of a penalty-finite element approximation for an obstacle problem ⋮ The rain on underground porous media. I: Analysis of a Richards model ⋮ Goal-oriented error control in adaptive mixed FEM for Signorini's problem ⋮ On the obstacle problem for a Naghdi shell ⋮ A stabilised finite element method for the plate obstacle problem ⋮ Unnamed Item ⋮ Dual-weighted residual a posteriori error estimates for a penalized phase-field slit discontinuity problem ⋮ Weak coupling of a Reynolds model and a Stokes model for hydrodynamic lubrication ⋮ Space-time adaptive finite elements for nonlocal parabolic variational inequalities ⋮ Mixed finite element methods for unilateral problems: convergence analysis and numerical studies ⋮ Circumventing the Babuška-Brezzi condition in mixed finite element approximations of elliptic variational inequalities ⋮ Mimetic finite differences for nonlinear and control problems ⋮ Error estimates for elasto-plastic problems ⋮ A Partition of Unity Method for the Obstacle Problem of Simply Supported Kirchhoff Plates ⋮ Gradient schemes for the Signorini and the obstacle problems, and application to hybrid mimetic mixed methods ⋮ A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics ⋮ An adaptive low-order FE-scheme for Stokes flow with cavitation ⋮ A unified framework for high-order numerical discretizations of variational inequalities ⋮ A finite element discretization of the contact between two membranes ⋮ Evaluation de l'erreur d'approximation pour une inéquation parabolique rélative aux convexes dependant du temps ⋮ A partition of unity method for the displacement obstacle problem of clamped Kirchhoff plates ⋮ Mixed variational inequalities arising in elastoplasticity ⋮ Mixed formulations for a class of variational inequalities ⋮ On the duality methods for the contact problem in elasticity ⋮ Convergence analysis of symmetric dual-wind discontinuous Galerkin approximation methods for the obstacle problem ⋮ Augmented Lagrangian finite element methods for contact problems ⋮ Nitsche's method for unilateral contact problems ⋮ Virtual element methods for elliptic variational inequalities of the second kind ⋮ Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem ⋮ Numerical solution of the obstacle problem by the penalty method ⋮ Penalty Function Methods for the Numerical Solution of Nonlinear Obstacle Problems with Finite Elements ⋮ Mixed formulations for a class of variational inequalities ⋮ Approximation of a bending plate problem with a boundary unilateral constraint ⋮ Composition duality principles for mixed variational inequalities ⋮ Quadratic finite element methods for unilateral contact problems
Cites Work
- Proprietà di alcune classi di funzioni in più variabili
- Regolarita Lipschitziana per la soluzione di alcuni problemi di minimo con vincolo
- Error estimates for the finite element solution of variational inequalities. Part I. primal theory
- On the convergence of a mixed finite-element method for plate bending problems
- Sur la régularité de la solution d'inéquations elliptiques
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item