Finite Elements for Helmholtz Equations with a Nonlocal Boundary Condition
DOI10.1137/20M1368100zbMath1472.65146arXiv2009.08493OpenAlexW3161841512WikidataQ114074152 ScholiaQ114074152MaRDI QIDQ4997373
Ben Sepanski, Robert C. Kirby, Andreas Klöckner
Publication date: 29 June 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.08493
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)
Related Items (2)
Uses Software
Cites Work
- Quadrature by expansion: a new method for the evaluation of layer potentials
- Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: What is the largest shift for which wavenumber-independent convergence is guaranteed?
- Exact non-reflecting boundary conditions on perturbed domains and \(hp\)-finite elements
- Complete radiation boundary conditions for the Helmholtz equation. I: Waveguides
- Non-reflecting boundary conditions
- A fast and stable method for rotating spherical harmonic expansions
- Error analysis of an enhanced DtN-FE method for exterior scattering problems
- Error estimates of the DtN finite element method for the exterior Helmholtz problem
- An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems
- A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions
- Exact non-reflecting boundary conditions
- The finite element method with non-uniform mesh sizes applied to the exterior Helmholtz problem
- A spatially exact non-reflecting boundary condition for time dependent problems
- Linear integral equations.
- A perfectly matched layer for the absorption of electromagnetic waves
- Nonreflecting boundary conditions based on Kirchhoff-type formulae
- Inverse acoustic and electromagnetic scattering theory.
- Exact non-reflecting boundary conditions on general domains.
- Fast algorithms for quadrature by expansion. I: Globally valid expansions
- A fast algorithm for quadrature by expansion in three dimensions
- Optimization of fast algorithms for global quadrature by expansion using target-specific expansions
- A fast algorithm with error bounds for quadrature by expansion
- The fast solution of boundary integral equations.
- Near-Optimal Perfectly Matched Layers for Indefinite Helmholtz Problems
- Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods
- The Validity of Johnson–Nédélec's BEM–FEM Coupling on Polygonal Interfaces
- Efficient Assembly of $H(\mathrm{div})$ and $H(\mathrm{curl})$ Conforming Finite Elements
- Smoothed aggregation for Helmholtz problems
- Firedrake
- Algebraic multigrid methods for constrained linear systems with applications to contact problems in solid mechanics
- Comments on the GMRES Convergence for Preconditioned Systems
- A Fast Adaptive Multipole Algorithm for Particle Simulations
- On the Coupling of Boundary Integral and Finite Element Methods
- A Finite Element Method for Solving Helmholtz Type Equations in Waveguides and Other Unbounded Domains
- A Preconditioned Finite Element Solution of the Coupled Pressure-Temperature Equations Used to Model Trace Gas Sensors
- Exact Nonreflecting Boundary Conditions for the Time Dependent Wave Equation
- Block preconditioners for finite element discretization of incompressible flow with thermal convection
- Spectra of Multiplication Operators as a Numerical Tool
- Unified form language
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Finite Elements for Helmholtz Equations with a Nonlocal Boundary Condition
