On controllability methods for the Helmholtz equation
DOI10.1016/j.cam.2019.03.016zbMath1419.65060OpenAlexW2924573521MaRDI QIDQ2000629
Publication date: 28 June 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://edoc.unibas.ch/69927/1/2018-06-controllability-final.pdf
exact controllabilityfinite element methodHelmholtz equationscattering problemstime-harmonic waveslocal time-stepping
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence theories for optimal control problems involving partial differential equations (49J20)
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Cites Work
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- 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
- Controllability method for acoustic scattering with spectral elements
- Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
- A property of measures in \(\mathbb{R}{}^ N\) and an application to unique continuation
- Finite element analysis of acoustic scattering
- Controllability methods for the computation of time-periodic solutions; application to scattering
- A controllability method with an artificial boundary condition for the exterior Helmholtz problem
- Newmark local time stepping on high-performance computing architectures
- On nonreflecting boundary conditions
- A modified and stable version of a perfectly matched layer technique for the 3-D second order wave equation in time domain with an application to aeroacoustics
- Controllability method for the Helmholtz equation with higher-order discretizations
- Stability estimates for a class of Helmholtz problems
- Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation
- A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain
- Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods
- Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
- Algebraic Multilevel Preconditioner for the Helmholtz Equation in Heterogeneous Media
- An Introduction to Domain Decomposition Methods
- Exact Controllability, Stabilization and Perturbations for Distributed Systems
- Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Conjugate Gradient Algorithms and Finite Element Methods
- A Two-Level Domain-Decomposition Preconditioner for the Time-Harmonic Maxwell’s Equations
- SOLUTION OF TIME-PERIODIC WAVE EQUATION USING MIXED FINITE ELEMENTS AND CONTROLLABILITY TECHNIQUES
- Preasymptotic Error Analysis of Higher Order FEM and CIP-FEM for Helmholtz Equation with High Wave Number
- Runge--Kutta-Based Explicit Local Time-Stepping Methods for Wave Propagation
- A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems
