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Validation of a posteriori error estimators by numerical approach
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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A simple error estimator in the finite element method
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Superconvergent patch recovery techniques – some further tests
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A‐posteriori error estimates for the finite element method
inferredcites →https://doi.org/10.1002/nme.1620191103openalex-snapshot
A posteriori error analysis and adaptive processes in the finite element method: Part I—error analysis
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The self‐equilibration of residuals and complementary a posteriori error estimates in the finite element method
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A simple error estimator and adaptive procedure for practical engineerng analysis
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A posteriori estimates of the solution error caused by discretization in the finite element, finite difference and boundary element methods
inferredcites →https://doi.org/10.1002/nme.1620280912openalex-snapshot
Analysis of the Zienkiewicz–Zhu a‐posteriori error estimator in the finite element method
inferredcites →https://doi.org/10.1002/nme.1620290202openalex-snapshot
Element by element a posteriori error estimation and improvement of stress solutions for two‐dimensional elastic problems
inferredcites →https://doi.org/10.1002/nme.1620330702openalex-snapshot
The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique
inferredcites →https://doi.org/10.1002/nme.1620330703openalex-snapshot
The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity
inferredcites →https://doi.org/10.1002/nme.1620330813openalex-snapshot
Element by element a posteriori error estimation of the finite element analysis for three‐dimensional elastic problems
inferredcites →https://doi.org/10.1002/nme.1620340319openalex-snapshot
Numerical investigation of element‐wise a posteriori error estimation in two and three dimensional elastic problems
inferredcites →https://doi.org/10.1002/nme.1620340320openalex-snapshot
a posteriori Error estimation for triangular and tetrahedral quadratic elements using interior residuals
inferredcites →https://doi.org/10.1002/nme.1620360402openalex-snapshot
The problem of the selection of an a posteriori error indicator based on smoothening techniques
inferredcites →https://doi.org/10.1002/nme.1620361603openalex-snapshot
Patch recovery based on superconvergent derivatives and equilibrium
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Some remarks on Zienkiewicz‐Zhu estimator
inferredcites →https://doi.org/10.1007/bf01385730openalex-snapshot
A posteriori error estimators in the finite element method
inferredcites →https://doi.org/10.1007/bf01385738openalex-snapshot
A unified approach to a posteriori error estimation using element residual methods
inferredcites →https://doi.org/10.1007/bf01385773openalex-snapshot
On the asymptotic exactness of error estimators for linear triangular finite elements
inferredcites →https://doi.org/10.1007/bf01390056openalex-snapshot
A posteriori error estimators for the Stokes equations
inferredcites →https://doi.org/10.1007/bf01396231openalex-snapshot
On the asymptotic exactness of Bank-Weiser's estimator
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Some equilibrium finite element methods for two-dimensional elasticity problems
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Adaptive approaches and reliability estimations in finite element analysis
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A method of grid optimization for finite element methods
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On an h-type mesh-refinement strategy based on minimization of interpolation errors
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Mesh design for the p-version of the finite element method
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A feedback finite element method with a posteriori error estimation: Part I. The finite element method and some basic properties of the a posteriori error estimator
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Toward a universal adaptive finite element strategy, part 2. A posteriori error estimation
inferredcites →https://doi.org/10.1016/0045-7825(90)90170-qopenalex-snapshot
A posteriori error estimates for the Stokes equations: A comparison
inferredcites →https://doi.org/10.1016/0045-7825(92)90016-dopenalex-snapshot
A procedure for a posteriori error estimation for h-p finite element methods
inferredcites →https://doi.org/10.1016/0045-7825(92)90017-eopenalex-snapshot
Basic problems of a posteriori error estimation
inferredcites →https://doi.org/10.1016/0045-7825(92)90020-kopenalex-snapshot
Adaptive finite element methods in computational mechanics
inferredcites →https://doi.org/10.1016/0045-7825(92)90023-dopenalex-snapshot
The superconvergent patch recovery (SPR) and adaptive finite element refinement
inferredcites →https://doi.org/10.1016/0045-7825(92)90053-mopenalex-snapshot
Recent experiences with error estimation and adaptivity, part I: Review of error estimators for scalar elliptic problems
inferredcites →https://doi.org/10.1016/0045-7825(92)90057-qopenalex-snapshot
Accuracy and optimal meshes in finite element computation for nearly incompressible materials
inferredcites →https://doi.org/10.1016/0045-7825(92)90090-7openalex-snapshot
Recent experiences with error estimation and adaptivity, Part II: Error estimation for approximations on grids of triangles and quadrilaterals
inferredcites →https://doi.org/10.1016/0045-7949(89)90168-5openalex-snapshot
A procedure for a posteriori error analysis for the finite element method which contains a bounding measure
inferredcites →https://doi.org/10.1016/0168-874x(87)90015-1openalex-snapshot
Asymptotically exact a posteriori error estimator for biquadratic elements
inferredcites →https://doi.org/10.1016/0168-874x(92)90011-zopenalex-snapshot
Quality assessment of the a-posteriori error estimation in finite elements
inferredcites →https://doi.org/10.1016/0168-9274(94)90017-5openalex-snapshot
A posteriori error estimation for h-p approximations in elastostatics
inferredcites →https://doi.org/10.1016/0898-1221(93)90007-iopenalex-snapshot
A posteriori error estimators for second order elliptic systems part 2. An optimal order process for calculating self-equilibrating fluxes
inferredcites →https://doi.org/10.1016/s1570-8659(05)80039-0openalex-snapshot
Basic error estimates for elliptic problems
inferredcites →https://doi.org/10.1016/s1570-8659(09)70001-8openalex-snapshot
Handbook of Numerical Analysis
inferredcites →https://doi.org/10.1017/cbo9780511574856.015openalex-snapshot
A Posteriori Error Estimators and Adaptive Mesh-Refinement Techniques for the Navier-Stokes Equations
inferredcites →https://doi.org/10.1051/m2an/1991250100311openalex-snapshot
Estimateurs a posteriori d'erreur pour le calcul adaptatif d'écoulements quasi-newtoniens
inferredcites →https://doi.org/10.1090/s0025-5718-1985-0777265-xopenalex-snapshot
Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
inferredcites →https://doi.org/10.1090/s0025-5718-1988-0929542-xopenalex-snapshot
An Adaptive Finite Element Method for Linear Elliptic Problems
inferredcites →https://doi.org/10.1108/eb023827openalex-snapshot
ERROR ESTIMATION AND MESH OPTIMIZATION FOR CLASSICAL FINITE ELEMENTS
inferredcites →https://doi.org/10.1137/0715049openalex-snapshot
Error Estimates for Adaptive Finite Element Computations
inferredcites →https://doi.org/10.1137/0718036openalex-snapshot
A Posteriori Error Analysis of Finite Element Solutions for One-Dimensional Problems
inferredcites →https://doi.org/10.1137/0720033openalex-snapshot
Error Estimate Procedure in the Finite Element Method and Applications
inferredcites →https://doi.org/10.1137/0729005openalex-snapshot
Asymptotically Exact Error Estimators for Rectangular Finite Elements
inferredcites →https://doi.org/10.1137/0729058openalex-snapshot
Analysis of the Efficiency of an a Posteriori Error Estimator for Linear Triangular Finite Elements
inferredcites →https://doi.org/10.1137/0730048openalex-snapshot
A Posteriori Error Estimates Based on Hierarchical Bases
inferredcites →https://doi.org/10.21236/ada277537openalex-snapshot
Study of Superconvergence by a Computer-Based Approach. Superconvergence of the Gradient in Finite Element Solutions of Laplace's and Poisson's Equations
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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A Posteriori Error Estimates for Isogeometric Analysis of the Stokes Equation
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RECOVERY BY EQUILIBRIUM IN PATCHES (REP)
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EXTENSION OF THE ZIENKIEWICZ–ZHU ERROR ESTIMATOR TO SHAPE SENSITIVITY ANALYSIS
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A MODEL STUDY OF THE QUALITY OFA POSTERIORI ERROR ESTIMATORS FOR FINITE ELEMENT SOLUTIONS OF LINEAR ELLIPTIC PROBLEMS, WITH PARTICULAR REFERENCE TO THE BEHAVIOR NEAR THE BOUNDARY
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An improved REP recovery and the effectivity robustness test
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Aposteriori error estimation for finite element solutions of Helmholtz' equation—Part II: estimation of the pollution error
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Error estimation based on Superconvergent Patch Recovery using statically admissible stress fields
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Adaptive selection of polynomial degrees on a finite element mesh
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Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions
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Achievements and some unsolved problems of the finite element method
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Mathematical analysis of Zienkiewicz—Zhu's derivative patch recovery technique
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Superconvergent patch recovery technique for the finite element method in acoustics
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SUPERCONVERGENT PATCH RECOVERY IN PROBLEMS OF MIXED FORM
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The background of error estimation and adaptivity in finite element computations
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Adaptive remeshing based on a posteriori error estimation for forging simulation
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Local averaging based a posteriori finite element error control for quasilinear elliptic problems with application to electrical potential computation
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Analysis of the numerical dispersion of waves in saturated poroelastic media
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Some improvements to the flux-type a posteriori error estimators
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A new non-intrusive technique for the construction of admissible stress fields in model verification
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Accurate recovery-based upper error bounds for the extended finite element framework
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Fast estimation of discretization error for FE problems solved by domain decomposition
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An adaptive finite element/meshless coupled method based on local maximum entropy shape functions for linear and nonlinear problems
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Study of the strong prolongation equation for the construction of statically admissible stress fields: Implementation and optimization
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An adaptive finite element procedure for fully-coupled point contact elastohydrodynamic lubrication problems
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Computable upper and lower bounds on eigenfrequencies
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Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis
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Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling
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Recovery-based error estimation and adaptivity using high-order splines over hierarchical T-meshes
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A posteriori error estimation and adaptive strategy for the control of MsFEM computations
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A posteriori error estimation for isogeometric analysis using the concept of Constitutive Relation Error
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An efficient and easy-to-implement recovery-based a posteriori error estimator for isogeometric analysis of the Stokes equation
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Adaptive finite element analysis of multi-phase problems in geotechnics
inferred← citeshttps://doi.org/10.1016/j.compgeo.2022.104672openalex-snapshot
An Automatic Adaptive Edge-based Smoothed Point Interpolation Method for Coupled Flow-Deformation Analysis of Saturated Porous Media
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An h-adaptive edge-based smoothed point interpolation method for elasto-plastic analysis of saturated porous media
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Local gradient and stress recovery for triangular elements
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Adaptive multigrid for finite element computations in plasticity
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Error estimation and mesh adaptation for Signorini–Coulomb problems using E-FEM
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Finite deformation elasto-plastic modelling using an adaptive meshless method
inferred← citeshttps://doi.org/10.1016/j.compstruc.2012.08.002openalex-snapshot
A generalized adaptive finite element analysis of laminated plates
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Locally equilibrated stress recovery for goal oriented error estimation in the extended finite element method
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Adaptive finite element based shape optimization in laminated composite plates
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Dispersion analysis of a nonconforming finite element method for the three-dimensional scalar and elastic wave equations
inferred← citeshttps://doi.org/10.1016/j.finel.2007.01.002openalex-snapshot
The superconvergence patch recovery technique and data transfer operators in 3D plasticity problems
inferred← citeshttps://doi.org/10.1016/j.finel.2012.10.004openalex-snapshot
Finite element verification in the case of missing data
inferred← citeshttps://doi.org/10.1016/j.finel.2014.05.012openalex-snapshot
Domain decomposition based finite element verification in linear framework
inferred← citeshttps://doi.org/10.1016/j.jappgeo.2004.02.004openalex-snapshot
Study of the numerical dispersion of FEMs for the viscoacoustic equation
inferred← citeshttps://doi.org/10.1016/j.jcp.2018.12.001openalex-snapshot
Bloch theory-based gradient recovery method for computing topological edge modes in photonic graphene
inferred← citeshttps://doi.org/10.1016/s0045-7825(00)00248-6openalex-snapshot
Averaging technique for FE – a posteriori error control in elasticity. Part I: Conforming FEM
inferred← citeshttps://doi.org/10.1016/s0045-7825(00)00340-6openalex-snapshot
A posteriori error estimation for the semidiscrete finite element method of parabolic differential equations
inferred← citeshttps://doi.org/10.1016/s0045-7825(02)00389-4openalex-snapshot
Evaluation of the local quality of stresses in 3D finite element analysis
inferred← citeshttps://doi.org/10.1016/s0045-7825(03)00420-1openalex-snapshot
Implicit interpolation error-based error estimation for reaction-diffusion equations in two space dimensions
inferred← citeshttps://doi.org/10.1016/s0045-7825(96)01067-5openalex-snapshot
A general method for recovering equilibrating element tractions
inferred← citeshttps://doi.org/10.1016/s0045-7825(96)01107-3openalex-snapshot
A posteriori error estimation in finite element analysis
inferred← citeshttps://doi.org/10.1016/s0045-7825(97)00076-5openalex-snapshot
A posteriori error estimation—the relationship between different procedures
inferred← citeshttps://doi.org/10.1016/s0045-7825(97)00079-0openalex-snapshot
A posteriori estimation of the error in the recovered derivatives of the finite element solution
inferred← citeshttps://doi.org/10.1016/s0045-7825(97)00085-6openalex-snapshot
The finite element patch test revisited a computer test for convergence, validation and error estimates
inferred← citeshttps://doi.org/10.1016/s0045-7825(97)00089-3openalex-snapshot
New advances on a posteriori error on constitutive relation in f.e. analysis
inferred← citeshttps://doi.org/10.1016/s0045-7825(97)00169-2openalex-snapshot
Adaptive finite element techniques for frictional contact problems involving large elastic strains
inferred← citeshttps://doi.org/10.1016/s0045-7825(97)00212-0openalex-snapshot
A new a posteriori error estimation for nonlinear time-dependent finite element analysis
inferred← citeshttps://doi.org/10.1016/s0045-7825(97)00310-1openalex-snapshot
A posteriori error estimation in large-strain elasticity using equilibrated local Neumann problems
inferred← citeshttps://doi.org/10.1016/s0045-7825(98)00009-7openalex-snapshot
A posteriori error estimation for standard finite element analysis
inferred← citeshttps://doi.org/10.1016/s0045-7825(98)00010-3openalex-snapshot
Analysis of the superconvergent patch recovery technique and a posteriori error estimator in the finite element method (II)
inferred← citeshttps://doi.org/10.1016/s0045-7825(98)00332-6openalex-snapshot
Recovery procedures in error estimation and adaptivity Part I: Adaptivity in linear problems
inferred← citeshttps://doi.org/10.1016/s0045-7825(98)00340-5openalex-snapshot
Constitutive relation error estimators for (visco)plastic finite element analysis with softening
inferred← citeshttps://doi.org/10.1016/s0045-7825(98)00349-1openalex-snapshot
The relationship of some a posteriori estimators
inferred← citeshttps://doi.org/10.1016/s0045-7825(98)80102-3openalex-snapshot
A posteriori error estimation of steady-state finite element solutions of the Navier—Stokes equations by a subdomain residual method
inferred← citeshttps://doi.org/10.1016/s0045-7825(99)00322-9openalex-snapshot
An h-adaptive method for elasto-plastic shell problems
inferred← citeshttps://doi.org/10.1016/s0045-7825(99)00330-8openalex-snapshot
Guaranteed computable bounds for the exact error in the finite element solution Part I: One-dimensional model problem
inferred← citeshttps://doi.org/10.1016/s0045-7825(99)00361-8openalex-snapshot
Constitutive relation error estimators for time-dependent non-linear FE analysis
inferred← citeshttps://doi.org/10.1016/s0045-7949(01)00051-7openalex-snapshot
Postprocessing techniques and h-adaptive finite element-eigenproblem analysis
inferred← citeshttps://doi.org/10.1016/s0045-7949(01)00072-4openalex-snapshot
Adaptive methods for frictionless contact problems
inferred← citeshttps://doi.org/10.1016/s0045-7949(02)00099-8openalex-snapshot
Local quality of smoothening based a-posteriori error estimators for laminated plates under transverse loading
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Towards fully mesh adaptive FE-simulations in 3D using multi-grid solver
inferred← citeshttps://doi.org/10.1016/s0045-7949(96)00047-8openalex-snapshot
A posteriori error estimator based on the second derivative of the displacement field for two-dimensional elastic problems
inferred← citeshttps://doi.org/10.1016/s0045-7949(98)00235-1openalex-snapshot
Adaptive h-version eigenfrequency analysis
inferred← citeshttps://doi.org/10.1016/s0045-7949(98)00265-xopenalex-snapshot
Improved eigenfrequencies and eigenmodes in free vibration analysis
inferred← citeshttps://doi.org/10.1016/s0045-7949(98)00276-4openalex-snapshot
Admissible fields and error estimation for acoustic FEA with low wavenumbers
inferred← citeshttps://doi.org/10.1016/s0045-7949(98)00284-3openalex-snapshot
Adaptive control for finite element analysis in plasticity
inferred← citeshttps://doi.org/10.1016/s0167-4730(97)00013-1openalex-snapshot
Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements
inferred← citeshttps://doi.org/10.1016/s0168-874x(03)00109-4openalex-snapshot
A modified superconvergent patch recovery method and its application to large deformation problems
inferred← citeshttps://doi.org/10.1016/s0168-874x(03)00111-2openalex-snapshot
A posteriori error estimation based on variation of mapping function
inferred← citeshttps://doi.org/10.1016/s0168-874x(96)00037-6openalex-snapshot
A posteriori error estimation and three-dimensional automatic mesh generation
inferred← citeshttps://doi.org/10.1016/s0168-874x(96)00059-5openalex-snapshot
An a posteriori error estimator and hp-adaptive strategy for finite element discretizations of the Helmholtz equation in exterior domains
inferred← citeshttps://doi.org/10.1016/s0168-874x(96)00079-0openalex-snapshot
A posteriori error estimators related to equilibrium defaults of finite element solutions for elastostatic problems
inferred← citeshttps://doi.org/10.1016/s0895-7177(98)00133-2openalex-snapshot
Different a posteriori error estimators and indicators for contact problems
inferred← citeshttps://doi.org/10.1016/s0922-5382(98)80002-0openalex-snapshot
Recovery Procedures in Error Estimation and Adaptivity: Adaptivity in Linear Problems
inferred← citeshttps://doi.org/10.1016/s0922-5382(98)80003-2openalex-snapshot
The relationship of some a posteriori error estimators
inferred← citeshttps://doi.org/10.1016/s0922-5382(98)80013-5openalex-snapshot
A Posteriori Constitutive Relation Error Estimators for Nonlinear Finite Element Analysis and Adaptive Control
inferred← citeshttps://doi.org/10.1016/s0965-9978(02)00076-5openalex-snapshot
Discretization error estimator for transcient dynamic simulations
inferred← citeshttps://doi.org/10.1016/s0965-9978(97)00013-6openalex-snapshot
An auto-adaptive finite element analysis software for stiffened plate and shell structures
inferred← citeshttps://doi.org/10.1016/s0965-9978(97)00037-9openalex-snapshot
Adaptive finite element analysis of stiffened shells
inferred← citeshttps://doi.org/10.1023/a:1011072906517openalex-snapshot
Adaptive finite element analysis of mixed-mode fracture problems containing multiple crack-tips with an automatic mesh generator
inferred← citeshttps://doi.org/10.1023/a:1014232321825openalex-snapshot
A Posteriori Estimators for the FEM: Analysis of the Robustness of the Estimators for the Poisson Equation
inferred← citeshttps://doi.org/10.1051/m2an:2003065openalex-snapshot
Zienkiewicz–Zhu error estimators on anisotropic tetrahedral and triangular finite element meshes
inferred← citeshttps://doi.org/10.1051/matecconf/201824508004openalex-snapshot
Analysis of marking criteria for mesh adaptation in Cosserat elasticity
inferred← citeshttps://doi.org/10.1080/135048600450284openalex-snapshot
Unstructured meshing for two asset barrier options
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ACCURACY ESTIMATES IN FREE VIBRATION ANALYSIS
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QUALITY ASSESSED EIGENFREQUENCY ANALYSIS
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A POSTPROCESSED ERROR ESTIMATION IN THE FINITE ELEMENT ANALYSIS
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ERROR ESTIMATOR FOR ACOUSTIC PROBLEMS
inferred← citeshttps://doi.org/10.1088/0266-5611/15/1/009openalex-snapshot
Application of a posteriori error estimation for structural model updating
inferred← citeshttps://doi.org/10.1088/1742-6596/1158/2/022032openalex-snapshot
A posteriori error estimates for linear problems in Cosserat elasticity
inferred← citeshttps://doi.org/10.1090/s0025-5718-02-01402-3openalex-snapshot
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM
inferred← citeshttps://doi.org/10.1090/s0025-5718-02-01412-6openalex-snapshot
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM
inferred← citeshttps://doi.org/10.1108/02644400010324884openalex-snapshot
Comparison of different error estimators for contact problems
inferred← citeshttps://doi.org/10.1108/02644401111097037openalex-snapshot
A simple estimator for stress errors dedicated to large elastic finite element simulations
inferred← citeshttps://doi.org/10.1108/02644401211271609openalex-snapshot
On the role of enrichment and statical admissibility of recovered fields in a posteriori error estimation for enriched finite element methods
inferred← citeshttps://doi.org/10.1108/02644409710367476openalex-snapshot
An adaptive meshing automatic scheme based on the strain energy density function
inferred← citeshttps://doi.org/10.1108/09615530210422983openalex-snapshot
Analysis of à‐posteriori error indicator in viscous flows
inferred← citeshttps://doi.org/10.1108/eum0000000005788openalex-snapshot
Error estimates and adaptive finite element methods
inferred← citeshttps://doi.org/10.1109/aspdac.1999.759719openalex-snapshot
The hierarchical h-adaptive 3-D boundary element computation of VLSI interconnect capacitance
inferred← citeshttps://doi.org/10.1109/tbme.2011.2122305openalex-snapshot
Finite-Element-Based Discretization and Regularization Strategies for 3-D Inverse Electrocardiography
inferred← citeshttps://doi.org/10.1109/tgrs.2024.3454113openalex-snapshot
3-D Forward Modeling of Semi-Airborne TEM Method With IP Effect Based on Goal-Oriented Adaptive Finite Element Algorithm
inferred← citeshttps://doi.org/10.1109/tmtt.2024.3371399openalex-snapshot
A Skeleton-Based Electromagnetic Recovery for Explicit Adaptive Mesh Refinement
inferred← citeshttps://doi.org/10.1115/1.4042690openalex-snapshot
A Unit-Consistent Error Measure for Multibody Systems With Unilateral Constraints
inferred← citeshttps://doi.org/10.1137/1036141openalex-snapshot
The p and h - p Versions of the Finite Element Method, Basic Principles and Properties
inferred← citeshttps://doi.org/10.1137/18m1190495openalex-snapshot
Convergence Analysis of a Discontinuous Galerkin Method for Wave Equations in Second-Order Form
inferred← citeshttps://doi.org/10.1137/19m1261997openalex-snapshot
Asymptotically Exact A Posteriori Error Estimates of Eigenvalues by the Crouzeix--Raviart Element and Enriched Crouzeix--Raviart Element
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