A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation
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Publication:4952983
DOI<17::AID-FLD953>3.0.CO;2-X 10.1002/(SICI)1097-0363(19990915)31:1<17::AID-FLD953>3.0.CO;2-XzbMath0964.65119OpenAlexW2097622080MaRDI QIDQ4952983
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Publication date: 20 February 2001
Full work available at URL: https://doi.org/10.1002/(sici)1097-0363(19990915)31:1<17::aid-fld953>3.0.co;2-x
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Adaptive finite element methods in computational mechanics
- Non-reflecting boundary conditions for elastic waves
- A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations
- A unified approach to a posteriori error estimation using element residual methods
- A posteriori error estimation in finite element analysis
- 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
- Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
- Adaptive boundary-type finite element method for wave diffraction-refraction in harbors
- Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: The Helmholtz and Burgers equations
- Error Estimate Procedure in the Finite Element Method and Applications
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Infinite elements
- Recent progress on application of hp‐adaptive BE/FE methods to elastic scattering
- Aposteriori error estimation for finite element solutions of Helmholtz' equation—Part II: estimation of the pollution error
