A posteriori error estimation for acoustic wave propagation problems (Q820185)

scientific article; zbMATH DE number 5017553

Language	Label	Description	Also known as
English	A posteriori error estimation for acoustic wave propagation problems	scientific article; zbMATH DE number 5017553

Statements

instance of

scholarly article

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title

A posteriori error estimation for acoustic wave propagation problems (English)

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published in

Archives of Computational Methods in Engineering

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publication date

6 April 2006

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Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number

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Post-processing with computable error bounds for the finite element approximation of a nonlinear heat conduction problem

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

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A posteriori error estimation in finite element analysis

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A posteriori error estimation in finite element analysis

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Q4401531

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Error-bounds for finite element method

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A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution

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A posteriori error estimation for finite element solutions of Helmholtz' equation. I: The quality of local indicators and estimators

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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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THE PARTITION OF UNITY METHOD

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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 feedback finite element method with a posteriori error estimation. I: The finite element method and some basic properties of the a posteriori error estimator

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Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods

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A‐posteriori error estimates for the finite element method

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On the reliability and optimality of the finite element method

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The finite element methods and its reliability

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Guaranteed computable bounds for the exact error in the finite element solution. I: One-dimensional model problem

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Pollution-error in the \(h\)-version of the finite-element method and the local quality of a posteriori error estimators

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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

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

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Validation of a posteriori error estimators by numerical approach

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Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?

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Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?

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Q4946576

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Q4797885

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Some A Posteriori Error Estimators for Elliptic Partial Differential Equations

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Q3124137

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An optimal control approach to a posteriori error estimation in finite element methods

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Admissible fields and error estimation for acoustic FEA with low wavenumbers

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Q4267123

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Error estimation and adaptivity for the finite element method in acoustics: 2D and 3D applications

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On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.

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Boundary element methods for Maxwell transmission problems in Lipschitz domains

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Local error bounds for post-processed finite element calculations

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Fully Reliable Localized Error Control in the FEM

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A stability analysis for vibrating viscoelastic spherical shells. (The effect of damping on the LBB constants of vibration problems)

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Q4262722

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Asymptotic convergence in finite and boundary element methods. II: The LBB constant for rigid and elastic scattering problems

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Topics in computational wave propagation. Direct and inverse problems

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Solution of elastic scattering problems in linear acoustics using \(h\)-\(p\) boundary element methods

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A fully automatic \(hp\)-adaptivity

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Q4951622

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Q4716024

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Éléments finis: théorie, applications, mise en œuvre.

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Computable Pointwise Error Bounds and the Ritz Method in One Dimension

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On the pollution effect in FE solutions of the 3D-Helmholtz equation

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High-Order Finite Element Methods for Acoustic Problems

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Finite element methods for the Helmholtz equation in an exterior domain: Model problems

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Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains

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Q4416720

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Finite element analysis of acoustic scattering

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Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM

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Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM

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A residual a posteriori error estimator for the finite element solution of the Helmholtz equation

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Error Estimate Procedure in the Finite Element Method and Applications

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A general method for recovering equilibrating element tractions

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``La maîtrise'' for calculus in linear and nonlinear mechanics

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New advances on a posteriori error on constitutive relation in f. e. analysis

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Local problems on stars: A posteriori error estimators, convergence, and performance

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Ein Kriterium für die Quasi-Optimalität des Titzschen Verfahrens

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Superconvergent extraction techniques for finite element analysis

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Superconvergent boundary stress extraction and some experiments with adaptive pointwise error control

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Q4004026

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Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation

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A new cloud-based \(hp\) finite element method

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Goal-oriented error estimation and adaptivity for the finite element method

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Estimation of modeling error in computational mechanics.

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ERROR ESTIMATION OF EIGENFREQUENCIES FOR ELASTICITY AND SHELL PROBLEMS

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Q4104278

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A hierarchical duality approach to bounds for the outputs of partial differential equations

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A posteriori bounds for linear functional outputs of Crouzeix-Raviart finite element discretizations of the incompressible Stokes problem

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

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Q4416721

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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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Analysis of a subdomain‐based error estimator for finite element approximations of elliptic problems

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On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors

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Q4416722

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Practical methods fora posteriori error estimation in engineering applications

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A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation

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The computation of potentials near and on the boundary by an extraction technique for boundary element methods

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Goal-oriented \(hp\)-adaptivity for elliptic problems.

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Explicit residual-based a posteriori error estimation for finite element discretizations of the Helmholtz equation: Computation of the constant and new measures of error estimator quality

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A posteriori estimation and adaptive control of the error in the quantity of interest. I: A posteriori estimation of the error in the von Mises stress and the stress intensity factor

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Guaranteed computable bounds for the exact error in the finite element solution?Part II: bounds for the energy norm of the error in two dimensions

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Q4416723

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Complex wavenumber Fourier analysis of the \(p\)-version finite element method

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Q4886148

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\(hp\) boundary element modeling of the external human auditory system -- goal-oriented adaptivity with multiple load vectors.

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Computable error bounds for pointwise derivatives of a Neumann problem

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A posteriori pointwise upper bound 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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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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Identifiers

zbMATH Open document ID

1145.76033

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DOI

10.1007/BF02736190

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:820185