Error estimates for the approximation of some unilateral problems
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Publication:4130920
DOI10.1051/m2an/1977110201971zbMath0358.65087OpenAlexW2587229243MaRDI QIDQ4130920
Maria Agostina Vivaldi, F. Scarpini
Publication date: 1977
Published in: RAIRO. Analyse numérique (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/193296
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Incompressible inviscid fluids (76B99)
Related Items (23)
A weak Galerkin method with rectangle partitions for the Signorini problem ⋮ \(EQ^{\text{rot}}_1\) nonconforming finite element approximation to Signorini problem ⋮ VERIFIED COMPUTATIONS OF SOLUTIONS FOR SOME UNILATERAL BOUNDARY VALUE PROBLEMS FOR SECOND ORDER EQUATIONS ⋮ The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem ⋮ Adaptive quadratic finite element method for the unilateral contact problem ⋮ Convergence and superconvergence analysis of a nonconforming finite element method for solving the Signorini problem ⋮ A finite element analysis for the Signorini problem in plane elastostatics ⋮ Pointwise a posteriori error control of discontinuous Galerkin methods for unilateral contact problems ⋮ Numerical verification of solutions for some unilateral boundary value problems. ⋮ Finite element analysis for unilateral problems with obstacles on the boundary ⋮ On \(P_1\) nonconforming finite element aproximation for the Signorini problem ⋮ An analysis of finite volume element method for solving the Signorini problem ⋮ Superconvergence of finite element method for the Signorini problem ⋮ Error estimates of the weakly over-penalized symmetric interior penalty method for two variational inequalities ⋮ Error estimates for the finite element solution of variational inequalities. Part I. primal theory ⋮ Evaluation de l'erreur d'approximation pour une inéquation parabolique rélative aux convexes dependant du temps ⋮ On the duality methods for the contact problem in elasticity ⋮ Prox-regularization and solution of ill-posed elliptic variational inequalities ⋮ Nitsche's method for unilateral contact problems ⋮ Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem ⋮ Numerical verification of solutions for some unilateral problems ⋮ Numerical verification of solutions for a simplified Signorini problem ⋮ Optimal Convergence for Discrete Variational Inequalities Modelling Signorini Contact in 2D and 3D without Additional Assumptions on the Unknown Contact Set
Cites Work
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- Curved Elements in the Finite Element Method. II
- One-sided approximation and variational inequalities
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- Variational inequalities
- Triangular Elements in the Finite Element Method
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