A MultiHarmonic Finite Element Method for Scattering Problems with Small-Amplitude Boundary Deformations
DOI10.1137/21M1432363zbMath1492.78019MaRDI QIDQ5065496
D. Gasperini, Hans-Peter Biese, U. Schroeder, Christophe A. Geuzaine, Xavier Antoine
Publication date: 22 March 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Iterative numerical methods for linear systems (65F10) Asymptotic expansions of solutions to PDEs (35C20) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Technical applications of optics and electromagnetic theory (78A55) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Variational methods applied to problems in optics and electromagnetic theory (78M30) Preconditioners for iterative methods (65F08) Mathematical modeling or simulation for problems pertaining to optics and electromagnetic theory (78-10)
Cites Work
- Unnamed Item
- Modern solvers for Helmholtz problems
- Finite element analysis of acoustic scattering
- A frequency domain method for scattering problems with moving boundaries
- Design sensitivity analysis for shape optimization based on the Lie derivative
- Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Control and Stabilization for the Wave Equation, Part III: Domain with Moving Boundary
- On mechanical waves and Doppler shifts from moving boundaries
- Classical and Computational Solid Mechanics
This page was built for publication: A MultiHarmonic Finite Element Method for Scattering Problems with Small-Amplitude Boundary Deformations