Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods
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Publication:2022345
DOI10.1007/s00211-021-01195-7zbMath1465.35166arXiv1609.00583OpenAlexW3137662429MaRDI QIDQ2022345
Publication date: 28 April 2021
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.00583
Boundary value problems for second-order elliptic equations (35J25) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
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- A priori error estimates of the dtn-FEM for the transmission problem in acoustics
- Exact non-reflecting boundary conditions on perturbed domains and \(hp\)-finite elements
- Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis
- Relaxing the hypotheses of Bielak-MacCamy's BEM-FEM coupling
- A residual-based a posteriori error estimator for a two-dimensional fluid-solid interaction problem
- Error analysis of an enhanced DtN-FE method for exterior scattering problems
- Exact non-reflecting boundary conditions
- A finite element method for exterior interface problems
- Analysis of continuous formulations underlying the computation of time- harmonic acoustics in exterior domains
- A finite-element capacitance matrix method for exterior Helmholtz problems
- Inverse acoustic and electromagnetic scattering theory.
- Exact non-reflecting boundary conditions on general domains.
- Nonsingular kernel boundary integral and finite element coupling method
- A new BEM-FEM coupling strategy for two-dimensional fluid-solid interaction problems
- On nonreflecting boundary conditions
- An ultra-weak method for acoustic fluid-solid interaction
- Near-field imaging of obstacles with the factorization method: fluid–solid interaction
- Finite element method to fluid-solid interaction problems with unbounded periodic interfaces
- Preasymptotic Error Analysis of CIP-FEM and FEM for Helmholtz Equation with High Wave Number. Part II: $hp$ Version
- FE/BE coupling for an acoustic fluid-structure interaction problem. Residual a posteriori error estimates
- Analysis of the Coupling of Lagrange and Arnold--Falk--Winther Finite Elements for a Fluid-Solid Interaction Problem in Three Dimensions
- The Validity of Johnson–Nédélec's BEM–FEM Coupling on Polygonal Interfaces
- ℎ𝑝-Discontinuous Galerkin methods for the Helmholtz equation with large wave number
- Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions
- A FE-BE coupling for a fluid-structure interaction problem: Hierarchical a posteriori error estimates
- LOW-FREQUENCY SCATTERING BY A BODY IN LUBRICATED CONTACT
- Symmetric finite element and boundary integral coupling methods for fluid-solid interaction
- Analysis of the Coupling of Primal and Dual-Mixed Finite Element Methods for a Two-Dimensional Fluid-Solid Interaction Problem
- The Approximation of the Exact Boundary Conditions at an Artificial Boundary for Linear Elastic Equations and its Application
- An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
- Variational Approximation of Maxwell's Equations in Biperiodic Structures
- Convergence of Adaptive Mixed Finite Element Methods for the Hodge Laplacian Equation: Without Harmonic Forms
- A BIE-Based DtN-FEM for Fluid-Solid Interaction Problems
- Finite Element Approximation of Time Harmonic Waves in Periodic Structures
- Fluid–Solid Interaction: Acoustic Scattering by a Smooth Elastic Obstacle
- Korn’s Inequalities and Their Applications in Continuum Mechanics
- Artificial Boundary Method
- Boundary Integral Equation Methods for the Two-Dimensional Fluid-Solid Interaction Problem
- Near-field Imaging Point-like Scatterers and Extended Elastic Solid in a Fluid
