Controllability method for acoustic scattering with spectral elements

DOI10.1016/j.cam.2006.02.046zbMath1117.76048OpenAlexW2070657445WikidataQ110038594 ScholiaQ110038594MaRDI QIDQ883461

Tuomo Rossi, Anssi Pennanen, Sanna Mönkölä, Erkki Heikkola

Publication date: 4 June 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.02.046

zbMATH Keywords

Helmholtz equationcentral finite difference schemediagonal mass matrices

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Spectral methods applied to problems in fluid mechanics (76M22) Hydro- and aero-acoustics (76Q05) Flow control and optimization for compressible fluids and gas dynamics (76N25)

Related Items

A Controllability Method for Maxwell's Equations, Controllability method for the Helmholtz equation with higher-order discretizations, A mixed formulation and exact controllability approach for the computation of the periodic solutions of the scalar wave equation. I: Controllability problem formulation and related iterative solution, An optimization-based approach for solving a time-harmonic multiphysical wave problem with higher-order schemes, WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation, An algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation, Time-harmonic elasticity with controllability and higher-order discretization methods, On controllability methods for the Helmholtz equation, Comparison between the shifted-Laplacian preconditioning and the controllability methods for computational acoustics, Time-harmonic solution for acousto-elastic interaction with controllability and spectral elements, Parallel controllability methods for the Helmholtz equation

Cites Work

• Unnamed Item
• Unnamed Item
• Finite element analysis of acoustic scattering
• Controllability methods for the computation of time-periodic solutions; application to scattering
• Investigation of a two-dimensional spectral element method for Helmholtz's equation
• Algebraic multigrid for higher-order finite elements
• On a class of preconditioners for solving the Helmholtz equation
• A discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of short wave exterior Helmholtz problems on unstructured meshes
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Radiation boundary conditions for acoustic and elastic wave calculations
• A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems
• The perfectly matched layer for the ultra weak variational formulation of the 3D Helmholtz equation