A posteriori error analysis and adaptive processes in the finite element method: Part I—error analysis

From MaRDI portal
Publication:3318042

DOI10.1002/nme.1620191103zbMath0534.65068OpenAlexW2105729768MaRDI QIDQ3318042

O. C. Zienkiewicz, J. P. de S. R. Gago, Donald W. Kelly

Publication date: 1983

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620191103




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

Density gradient‐based adaptive refinement of analysis mesh for efficient multiresolution topology optimizationAn Introductory Review on A Posteriori Error Estimation in Finite Element ComputationsA unified steady and unsteady formulation for hydrodynamic potential flow simulations with fully nonlinear free surface boundary conditions\textit{A posteriori} error estimates for hierarchical mixed-dimensional elliptic equationsA cost-efficient space-time adaptive algorithm for coupled flow and transportDeep reinforcement learning for adaptive mesh refinementA parallel and adaptative Nitsche immersed boundary method to simulate viscous mixingNumerical modeling of anisotropic ferroelectric materials with hybridizable discontinuous Galerkin methods‘A POSTERIORI’ ERROR INDICATOR AND ERROR ESTIMATORS FOR ADAPTIVE MESH REFINEMENTReordering and incomplete preconditioning in serial and parallel adaptive mesh refinement and coarsening flow solutionsA-Posteriori Error Estimates for Uniform p-Version Finite Element Methods in SquareA Posteriori Error Estimates for Multilevel Methods for Graph LaplaciansAdaptive finite element analysis with quadrilateral elements using a new \(h\)-refinement strategy.A Generic Finite Element Framework on Parallel Tree-Based Adaptive MeshesAn asymptotic formula for correcting finite element predicted natural frequencies of membrane vibration problemsERROR ESTIMATION AND ADAPTIVITY IN ELASTOPLASTICITYA Posteriori Error Estimate Analysis for BEM in Plate-Bending ProblemsAdaptive \(s\)-method for linear elastostaticsAn explicit residual-type error estimator for Q1-quadrilateral extended finite element method in two-dimensional linear elastic fracture mechanicsAn adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHDAdaptive finite element methods for a class of evolution problems in viscoplasticityIntegration pointwise pollution error estimates in the finite element method in one dimensionThe multiscale approach to error estimation and adaptivityAdaptive isogeometric analysis for transient dynamics: space-time refinement based on hierarchical a-posteriori error estimationsAdaptivity for clustering-based reduced-order modeling of localized history-dependent phenomenaDevelopment of a high-order continuous Galerkin sharp-interface immersed boundary method and its application to incompressible flow problemsAn asymptotically exact, pointwise, a posteriori error estimator for linear, elliptic, one-dimensional problems with possible singularities in the solutionParallel adaptive simulation of gravity currents on the lock-exchange problemProper intrinsic scales for a posteriori multiscale error estimationAn \(h\)-type adaptive finite elementAn adaptive remeshing method in the simulation of resin transfer molding (RTM) processA posteriori error estimation of \(h-p\) finite element approximations of frictional contact problemsAn automatic procedure with a control of accuracy for finite element analysis in 2D elasticityA posteriori error estimation in finite element analysisAn adaptive \(h\)-refinement algorithm for local damage modelsComparing the convected level-set and the Allen-Cahn phase-field methods in AMR/C simulations of two-phase flowsDevelopment of a hierarchical and adaptive finite element softwarePointwise dual weighted residual based goal-oriented \textit{a posteriori} error estimation and adaptive mesh refinement in 2D/3D thermo-mechanical multifield problemsEfficient thermal finite element modeling of selective laser melting of inconel 718A self‐adaptive method for the GFDF solution of parabolic problems defined over 3D domains of general shapeEfficient refinement/derefinement algorithm of nested meshes to solve evolution problemsReduction of finite element subspace dimension based on estimated errorBackward step control for Hilbert space problemsExistence and Approximation for Variational Problems Under Uniform Constraints on the Gradient by Power PenaltyA parallel and adaptive hybridized discontinuous Galerkin method for anisotropic nonhomogeneous diffusionMinimising the error in eigenvalue calculations involving the Boltzmann transport equation using goal-based adaptivity on unstructured meshesConstant-free explicit error estimator with sharp upper error bound property for adaptive FE analysis in elasticity and fractureOn the adaptive finite element analysis of the Kohn-Sham equations: methods, algorithms, and implementationHierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS projectGeneration of CFD meshes from biplane angiograms: an example of image-based mesh generation and simulation.Recovery by discretization corrected particle strength exchange (DC PSE) operatorsMultiscale computations with a combination of the \(h\)- and \(p\)-versions of the finite element method.ADAPTIVE FINITE ELEMENT TECHNIQUES FOR THE ACOUSTIC WAVE EQUATIONModeling and simulation of VEGF receptors recruitment in angiogenesisA goal-oriented error estimator for the analysis of simplified designsSome aspects of adaptive grid technology related to boundary and interior layers.An asynchronous framework for the simulation of the plasma/flow interactionAdaptive \(hpq\) finite element methods for the analysis of 3D-based models of complex structures. Part II: A posteriori error estimationFinite elements for fluid-structure interaction in ALE and fully Eulerian coordinatesPredicted natural frequencies of two‐dimensional elastodynamic problems: a practical error estimatorEfficiency of refinement procedures for the p‐version of the adaptive finite element methodAn adaptive meshing automatic scheme based on the strain energy density functionGoal-oriented \(r\)-adaptivity based on variational arguments in the physical and material spacesA posteriori error estimation and adaptivity for linear elasticity using the reciprocal theoremFast intersections on nested tetrahedrons (FINT): An algorithm for adaptive finite element based distributed parameter estimationA posteriori error estimators in the finite element methodSelective enrichment and modal matrix reduction in the generalized/extended finite element method applied to dynamic analysis of plane state problemsDual-weighted residual a posteriori error estimates for a penalized phase-field slit discontinuity problemAdaptive mesh refinement and coarsening for diffusion-reaction epidemiological modelsParallel adaptive solution of coupled Rayleigh-Bénard-Marangoni problems with the Navier-slipA robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics\(p\)-adaptive refinement based on stress recovery technique considering ordinary Kriging interpolation in L-shaped domainA variationally consistent mesh adaptation method for triangular elements in explicit Lagrangian dynamicsFlexible approximation schemes with numerical and semi‐analytical basesSpatial mesh adaptation in semidiscrete finite element analysis of linear elastodynamic problemsUnnamed ItemRecent experiences with error estimation and adaptivity. I: Review of error estimators for scalar elliptic problemsThermal modelling of selective beam melting processes using heterogeneous time step sizesDual adaptive finite element refinement for multiple local quantities in linear elastostaticsFinite element method for time dependent scattering: nonreflecting boundary condition, adaptivity, and energy decayAdaptive space-time finite element methods for the wave equation on unbounded domainsA new convected level-set method for gas bubble dynamicsAdaptive analysis using scaled boundary finite element method in 3DMixed-dimensional coupling in finite element modelsA contribution to error estimation and mapping algorithms for a hierarchical adaptive FE-strategy in finite elastoplasticityBLURRED MAXIMAL CYCLICALLY MONOTONE SETS AND BIPOTENTIALSThe p-adaptive BIEM version in elastostaticsA gradient-based adaptation procedure and its implementation in the element-free Galerkin methodError calculation in the constitutive relation for Mindlin plate finite element analysesApplication ofh-,p-, andhp-Mesh Adaptation Techniques to theSP3EquationsA posteriori error estimation -- the relationship between different proceduresA parallel adaptive finite element method for the simulation of photon migration with the radiative‐transfer‐based modelA diffuse interface model for two-phase ferrofluid flowsA new a posteriori error estimation for nonlinear time-dependent finite element analysisResidual error based adaptive mesh refinement with the non-intrusive patch algorithmAdaptive methods for hybrid equilibrium finite element modelsConstitutive relation error estimators for (visco)plastic finite element analysis with softeningThe relationship of some a posteriori estimatorsOn an h-type mesh-refinement strategy based on minimization of interpolation errorsAdaptive FEM analysis of selected elastic-visco-plastic problems



Cites Work


This page was built for publication: A posteriori error analysis and adaptive processes in the finite element method: Part I—error analysis