The hierarchical concept in finite element analysis
From MaRDI portal
Publication:3964121
DOI10.1016/0045-7949(83)90147-5zbMath0498.73072OpenAlexW2049692506MaRDI QIDQ3964121
J. P. de S. R. Gago, Donald W. Kelly, O. C. Zienkiewicz
Publication date: 1983
Published in: Computers & Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7949(83)90147-5
convergenceerror indicatorserror estimatorsadaptive processessuccessive refinementfinite element shape functionscomplete refinementeigenvectors as hierarchical variableshierarchical application in transient and nonlinear analysisimproved conditioning
Related Items
A selective enhanced FE-method for phase field modeling of ferroelectric materials, New superconvergent points of the 8‐node serendipity plane element for patch recovery, Unnamed Item, Adaptive finite element methods for a class of evolution problems in viscoplasticity, New Advances in Meshless Methods: Coupling Natural Element and Moving Least Squares Techniques, Adaptive \(hp\)-finite element for transient analysis, The enriched modified local Green's function method applied to elasto static problems, Multidimensional analysis of plates with irregularities using higher-order finite elements based on Lobatto shape functions, Numerical approximation of multi-phase Penrose-Fife systems, Higher order meshless approximation applied to finite difference and finite element methods in selected thermomechanical problems, Numerical analysis of plane stress free vibration in severely distorted mesh by generalized finite element method, A posteriori error estimation in finite element analysis, Development of a hierarchical and adaptive finite element software, A differential quadrature hierarchical finite element method using Fekete points for triangles and tetrahedrons and its applications to structural vibration, A posteriori error estimates for elliptic variational inequalities, Derivative-orthogonal non-uniform B-spline wavelets, Wavelet-enriched adaptive hierarchical FE model for coupled crystal plasticity-phase field modeling of crack propagation in polycrystalline microstructures, An enhanced finite element technique for diffuse phase transition, A Modal Error Indicator Based on a Work-Cancellation Property of Energy-Orthogonal Axisymmetric Finite Elements, Interface problems with quadratic X-FEM: design of a stable multiplier space and error analysis, A novel hierarchial error estimate for elliptic obstacle problems, Efficient and reliable hierarchical error estimates for an elliptic obstacle problem, A locally \(p\)-adaptive approach for large eddy simulation of compressible flows in a DG framework, Hierarchical error estimates for the energy functional in obstacle problems, Higher order meshless schemes applied to the finite element method in elliptic problems, Semi-automatic sparse preconditioners for high-order finite element methods on non-uniform meshes, A 2-D model that accounts for 3-D fringing in MEMS devices, Finite beam elements based on Legendre polynomial expansions and node-dependent kinematics for the global-local analysis of composite structures, Accuracy analysis of a mesh refinement method using benchmarks of 2-D lid-driven cavity flows and finer meshes, A new cloud-based \(hp\) finite element method, Efficiency of refinement procedures for the p‐version of the adaptive finite element method, Error estimation in finite element transient dynamic analysis using modal superposition, An adaptive meshing automatic scheme based on the strain energy density function, A Near-Optimal Hierarchical Estimate Based Adaptive Finite Element Method for Obstacle Problems, A posteriori error estimators in the finite element method, Error estimation and adaptivity in elastodynamics, On the performance of GFEM with trigonometric enrichment in bidimensional dynamic elastoplastic modelling, Hierarchical error estimates for finite volume approximation solution of elliptic equations, A three-level finite element method for the instationary incompressible Navier-Stokes equations, A simple and efficient error analysis for multi-step solution of the Navier-Stokes equations, The p-adaptive BIEM version in elastostatics, Solid finite elements through three decades., Preconditioning methods for very ill-conditioned three-dimensional linear elasticity problems, Layerwise zig-zag model with selective refinement across the thickness, Adaptive meshless local maximum-entropy finite element method for convection-diffusion problems, Enriched finite element methods for Timoshenko beam free vibration analysis, Hierarchical algorithm of composite element containing drainage holes, Efficient and reliable hierarchical error estimates for the discretization error of elliptic obstacle problems, A posteriori error estimation -- the relationship between different procedures, Adaptive wavelet-enriched hierarchical finite element model for polycrystalline microstructures, Wavelet-enriched adaptive crystal plasticity finite element model for polycrystalline microstructures, The relationship of some a posteriori estimators, Numerical solution of spectral stochastic finite element systems, Estimated error bounds for finite element solutions of elliptic boundary value problems, A method of grid optimization for finite element methods, Nonlinear free vibration of a shear deformable laminated composite annular elliptical plate, The variational multiscale method for laminar and turbulent flow, A universal formulation of two-equation models for adaptive computation of turbulent flows, Adaptive grid optimization for structural analysis -- Geometry-based approach, Adaptive grid-design methods for finite element analysis, Mesh enrichment against mesh regeneration using quadrilateral elements, A \(p\)-adaptive scheme for overcoming volumetric locking during plastic flow, Unnamed Item, Adaptive finite element methods for shape optimization of linearly elastic structures, The three R's of engineering analysis and error estimation and adaptivity, Sensitivity analysis of a mesh refinement method using the numerical solutions of 2D lid-driven cavity flow