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The background of error estimation and adaptivity in finite element computations (Q2575902)

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Language	Label	Description	Also known as
English	The background of error estimation and adaptivity in finite element computations	scientific article

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scholarly article

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The background of error estimation and adaptivity in finite element computations (English)

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O. C. Zienkiewicz

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Computer Methods in Applied Mechanics and Engineering

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publication date

7 December 2005

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zbMATH Keywords

error estimation

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adaptive remeshing

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cma.2004.07.053

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<i>A‐posteriori</i> error estimates for the finite element method

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Adaptive approaches and reliability estimations in finite element analysis

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A procedure for a posteriori error estimation for \(h\)-\(p\) finite element methods

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A unified approach to a posteriori error estimation using element residual methods

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A simple error estimator and adaptive procedure for practical engineerng analysis

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On the calculation of consistent stress distributions in finite element approximations

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The superconvergent patch recovery (SPR) and adaptive finite element refinement

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The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique

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The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity

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Error estimation and adaptivity in elastodynamics

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Patch recovery based on superconvergent derivatives and equilibrium

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Enhanced superconvergent patch recovery incorporating equilibrium and boundary conditions

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Superconvergent patch recovery of finite‐element solution and a posteriori L<sub>2</sub> norm error estimate

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Validation of <i>a posteriori</i> error estimators by numerical approach

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A posteriori estimation and adaptive control of the pollution error in the <i>h</i>‐version of the finite element method

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Pollution error in the \(h\)-version of the finite element method and the local quality of the recovered derivatives

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The generalized finite element method

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Theoretical formulations for adaptive finite element computations

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Notes on mesh optimal criteria in adaptive finite element computations

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A unified approach to remeshing strategies for finite element \(h\)-adaptivity

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The self-equilibration of residuals and complementarya posteriori error estimates in the finite element method

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Error Estimate Procedure in the Finite Element Method and Applications

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Some A Posteriori Error Estimators for Elliptic Partial Differential Equations

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The post-processing approach in the finite element method—part 1: Calculation of displacements, stresses and other higher derivatives of the displacements

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The post-processing approach in the finite element method—Part 2: The calculation of stress intensity factors

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The post-processing approach in the finite element method—Part 3:A posteriori error estimates and adaptive mesh selection

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A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations

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Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: The Helmholtz and Burgers equations

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A posteriori finite-element output bounds for the incompressible Navier-Stokes equations: Application to a natural convection problem

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A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem

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A posteriori error estimation for standard finite element analysis

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Error estimation including pollution assessment for nonlinear finite element analysis

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Recovering lower bounds of the error by postprocessing implicit residual<i>a posteriori</i>error estimates

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Identifiers

zbMATH Open document ID

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10.1016/j.cma.2004.07.053

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2575902

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