Dual finite element analysis for some elliptic variational equations and inequalities

DOI10.1007/BF00046832zbMath0523.65049OpenAlexW2092991000MaRDI QIDQ1056527

Ivan Hlaváček

Publication date: 1983

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00046832

zbMATH Keywords

surveyfinite elementsprojection methodsa priori error estimatesdual variational formulationselliptic second order problemsSignotini's problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Contact in solid mechanics (74M15) Theories of friction (tribology) (74A55)

Related Items (1)

Shape optimization in two-dimensional elasticity by the dual finite element method

Cites Work

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• Some equilibrium finite element methods for two-dimensional elasticity problems
• Error estimates for the finite element solution of variational inequalities. Part I. primal theory
• Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems
• An analysis of a mixed finite element method for the Navier-Stokes equations
• An equilibrium stress field model for finite element solutions of two- dimensional elastostatic problems
• A variational principle and the convergence of a finite-element method based on assumed stress distribution
• On inequalities of Korn's type. I: Boundary-value problems for elliptic systems of partial differential equations
• Dual finite element analysis for unilateral boundary value problems
• Conforming equilibrium finite element methods for some elliptic plane problems
• Dual finite element analysis for elliptic problems with obstacles on the boundary. I
• The density of solenoidal functions and the convergence of a dual finite element method
• Bounds on discretization error by special reduced integration of the lagrange family of finite elements
• Convergence of an equilibrium finite element model for plane elastostatics
• Finite element analysis of the Signorini problem in semi-coercive cases
• Contact between elastic bodies. I. Continuous problems
• Convergence of dual finite element approximations for unilateral boundary value problems
• Contact between elastic perfectly plastic bodies
• Error Estimates for the Approximation of a Class of Variational Inequalities
• Convergence of a finite element method based on the dual variational formulation
• A finite element analysis for the Signorini problem in plane elastostatics
• Dual finite element analysis for semi-coercive unilateral boundary value problems
• One-sided approximation and variational inequalities
• On a conjugate semi-variational method for parabolic equations
• Curved Elements in the Finite Element Method. I
• Nonlinear Programming: A Numerical Survey
• Dual analysis for heat conduction problems by finite elements
• The application of dual minimum theorems to the finite element solution of potential problems with special reference to seepage

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