Goal-oriented \(h\)-adaptivity for the Helmholtz equation: error estimates, local indicators and refinement strategies
DOI10.1007/s00466-010-0557-2zbMath1398.76208OpenAlexW2014127632WikidataQ57547772 ScholiaQ57547772MaRDI QIDQ547411
Lindaura Maria Steffens, Núria Parés, Pedro Díez
Publication date: 1 July 2011
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-010-0557-2
Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10)
Cites Work
- Unnamed Item
- Unnamed Item
- A simple strategy to assess the error in the numerical wave number of the finite element solution of the Helmholtz equation
- The superconvergent patch recovery (SPR) and adaptive finite element refinement
- Finite element analysis of acoustic scattering
- 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
- Dispersion and pollution of meshless solutions for the Helmholtz equation
- Error estimation and adaptivity for the finite element method in acoustics: 2D and 3D applications
- \(hp\) boundary element modeling of the external human auditory system -- goal-oriented adaptivity with multiple load vectors.
- Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
- Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: The Helmholtz and Burgers equations
- The generalized finite element method for Helmholtz equation: theory, computation, and open problems
- Numerical investigations of stabilized finite element computations for acoustics
- Remeshing criteria and proper error representations for goal oriented \(h\)-adaptivity
- Subdomain-based flux-free a posteriori error estimators
- A posteriori error estimation for finite element solutions of Helmholtz’ equation. part I: the quality of local indicators and estimators
- Equilibrated patch recovery error estimates: simple and accurate upper bounds of the error
- Guaranteed energy error bounds for the Poisson equation using a flux-free approach: Solving the local problems in subdomains
- Error Estimate Procedure in the Finite Element Method and Applications
- A simple error estimator and adaptive procedure for practical engineerng analysis
- A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem
- Aposteriori error estimation for finite element solutions of Helmholtz' equation—Part II: estimation of the pollution error
- Recovering lower bounds of the error by postprocessing implicit residuala posteriorierror estimates
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Admissible fields and error estimation for acoustic FEA with low wavenumbers
- Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation
- A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation
- A residual a posteriori error estimator for the finite element solution of the Helmholtz equation
This page was built for publication: Goal-oriented \(h\)-adaptivity for the Helmholtz equation: error estimates, local indicators and refinement strategies
