scientific article; zbMATH DE number 1081012
From MaRDI portal
Publication:4362137
DOI<2521::AID-NME181>3.0.CO;2-A 10.1002/(SICI)1097-0207(19970730)40:14<2521::AID-NME181>3.0.CO;2-AzbMath0883.65080MaRDI QIDQ4362137
Chandra Shekhar Upadhyay, Ivo M. Babuška, Theofanis Strouboulis
Publication date: 1997
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boundary value problems for second-order elliptic equations (35J25) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Unnamed Item, Superconvergence in the generalized finite element method, Ana posteriorierror estimator for thep- andhp-versions of the finite element method, Unnamed Item, Unnamed Item, Error estimates and adaptive finite element methods, A posteriori error estimation for the semidiscrete finite element method of parabolic differential equations, Adaptive space-time finite element methods for the wave equation on unbounded domains, A Galerkin projection technique for the evaluation of potential derivatives on a smooth boundary in 2D BEM, A full 3D finite element analysis using adaptive refinement and PCG solver with back interpolation, A posteriori error estimation -- the relationship between different procedures, Implicit a posteriori error estimation in cut finite elements, Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis, Recovery-based error estimation and adaptivity using high-order splines over hierarchical T-meshes, Guaranteed computable bounds for the exact error in the finite element solution. I: One-dimensional model problem, Recovery procedures in error estimation and adaptivity. I: Adaptivity in linear problems, A posteriori estimation of the error in the error estimate, The relationship of some a posteriori estimators, Evaluation of the local quality of stresses in 3D finite element analysis.
Cites Work
- A procedure for a posteriori error estimation for \(h\)-\(p\) finite element methods
- The superconvergent patch recovery (SPR) and adaptive finite element refinement
- A unified approach to a posteriori error estimation using element residual methods
- Validation of recipes for the recovery of stresses and derivatives by a computer-based approach
- \(\eta\%\)-superconvergence in the interior of locally refined meshes of quadrilaterals: Superconvergence of the gradient in finite element solutions of Laplace's and Poisson's equations
- Pollution error in the \(h\)-version of the finite element method and the local quality of the recovered derivatives
- \(\eta\%\)-Superconvergence of finite element approximations in the interior of general meshes of triangles
- A posteriori error estimate by element patch post-processing, adaptive analysis in energy and L2 norms
- Error Estimate Procedure in the Finite Element Method and Applications
- A simple error estimator and adaptive procedure for practical engineerng analysis
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
- Patch recovery based on superconvergent derivatives and equilibrium
- Superconvergent patch recovery with equilibrium and conjoint interpolant enhancements
- Validation of a posteriori error estimators by numerical approach
- Enhanced superconvergent patch recovery incorporating equilibrium and boundary conditions
- A model study of element residual estimators for linear elliptic problems: The quality of the estimators in the interior of meshes of triangles and quadrilaterals
- A posteriori estimation and adaptive control of the pollution error in the h‐version of the finite element method
- Computer-based proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace's, Poisson's, and the elasticity equations
