Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation (Q2006139)

scientific article; zbMATH DE number 7258256

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English	Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation	scientific article; zbMATH DE number 7258256

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instance of

scholarly article

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title

Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation (English)

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8 October 2020

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zbMATH Keywords

goal-oriented adaptivity

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finite element methods

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error representation

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Helmholtz equation

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.camwa.2015.03.006

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cites work

<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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Two‐Dimensional High‐Accuracy Simulation of Resistivity Log ging‐While‐Drilling (LWD) Measurements Using a Self‐Adaptiv e Goal‐Oriented $hp$ Finite Element Method

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A two-dimensional self-adaptive $hp$ finite element method for the characterization of waveguide discontinuities. II: Goal-oriented $hp$-adaptivity

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Q3124137

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Weighted a posteriori error control in FE methods

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A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity

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

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

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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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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 error bounds for non-linear outputs of the Helmholtz equation

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

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

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Strict and effective bounds in goal-oriented error estimation applied to fracture mechanics problems solved with XFEM

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Guaranteed error bounds on pointwise quantities of interest for transient viscodynamics problems

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Multiscale modeling using goal-oriented adaptivity and numerical homogenization. II: Algorithms for the Moore-Penrose pseudoinverse

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Multiscale modeling using goal-oriented adaptivity and numerical homogenization. I: Mathematical formulation and numerical results

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Goal-oriented error estimation and adaptivity for fluid-structure interaction using exact linearized adjoints

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Goal-oriented error estimation for Cahn-Hilliard models of binary phase transition

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A Posteriori Error Representations for Elliptic Optimal Control Problems with Control and State Constraints

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Goal-Oriented Adaptivity in Pointwise State Constrained Optimal Control of Partial Differential Equations

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A goal-orientedhp-adaptive finite element method with electromagnetic applications. Part I: electrostatics

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A self-adaptive goal-oriented $hp$-finite element method with electromagnetic applications. II: Electrodynamics

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Asymptotically exact functional error estimators based on superconvergent gradient recovery

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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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Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation

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

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

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Isogeometric analysis using T-splines

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B-spline goal-oriented error estimators for geometrically nonlinear rods

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Goal-adaptive isogeometric analysis with hierarchical splines

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Adaptive modeling of wave propagation in heterogeneous elastic solids.

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Goal-oriented $hp$-adaptivity for elliptic problems.

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A two-dimensional self-adaptivehpfinite element method for the characterization of waveguide discontinuities. I: Energy-norm based automatichp-adaptivity

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A simple strategy to assess the error in the numerical wave number of the finite element solution of the Helmholtz equation

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Estimation of the dispersion error in the numerical wave number of standard and stabilized finite element approximations of the Helmholtz equation

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Computing with hp-ADAPTIVE FINITE ELEMENTS

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published in

Computers & Mathematics with Applications

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Identifiers

zbMATH Open document ID

1443.65322

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Mathematics Subject Classification ID

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10.1016/J.CAMWA.2015.03.006

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Sitelinks

Mathematics(1 entry)

mardi Publication:2006139