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Nearby preconditioning experiments for the Helmholtz equation
, 2021 This code provides a range of experiments for investigating the effectiveness of 'nearby preconditioning' for the heterogeneous Helmholtz equation. This is the version of the software used in the paper 'Analysis of a Helmholtz preconditioning problem ...
Owen Pembery
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A Fast Solver for the Fractional Helmholtz Equation
SIAM Journal on Scientific Computing, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christian Glusa +4 more
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Parallel controllability methods for the Helmholtz equation [PDF]
Computer Methods in Applied Mechanics and Engineering, 2020 The Helmholtz equation is notoriously difficult to solve with standard numerical methods, increasingly so, in fact, at higher frequencies. Controllability methods instead transform the problem back to the time-domain, where they seek the time-harmonic solution of the corresponding time-dependent wave equation.
Grote, Marcus +3 more
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The Helmholtz Equation with Uncertainties in the Wavenumber
Journal of Scientific ComputingAbstractWe investigate the Helmholtz equation with suitable boundary conditions and uncertainties in the wavenumber. Thus the wavenumber is modeled as a random variable or a random field. We discretize the Helmholtz equation using finite differences in space, which leads to a linear system of algebraic equations including random variables. A stochastic
Roland Pulch, Olivier Sète
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, 1992 Studying an inverse problem always requires a solid knowledge of the theory for the corresponding direct problem. Therefore, the following two chapters of our book are devoted to presenting the foundations of obstacle scattering problems for time-harmonic acoustic waves, that is, to exterior boundary value problems for the scalar Helmholtz equation ...
Colton, David +3 more
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Academic Science JournalIn the present paper explores a reverse Cauchy problem for a heat transfer issue described by the Helmholtz and modified Helmholtz equation. Our goal is to identify an unknown defect within a simply connected bounded domain , given the Dirichlet data ...
shurouq hasan +2 more
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Additive Sweeping Preconditioner for the Helmholtz Equation [PDF]
Multiscale Modeling & Simulation, 2016 27 ...
Fei Liu, Lexing Ying
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Mathematics, 2019 This paper presents a study for solving the modified Helmholtz equation in layered materials using the multiple source meshfree approach (MSMA). The key idea of the MSMA starts with the method of fundamental solutions (MFS) as well as the collocation ...
Cheng-Yu Ku +3 more
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The dirichlet problem for the Helmholtz equation [PDF]
Archive for Rational Mechanics and Analysis, 1965 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/46171/1/205_2004_Article_BF00285433 ...
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Explicit error bounds for the α-quasi-periodic Helmholtz problem [PDF]
, 2013 This paper considers a finite element approach to modeling electromagnetic waves in a periodic diffraction grating. In particular, an a priori error estimate associated with the α-quasi-periodic transformation is derived.
Mulholland, Anthony J., Lord, Natacha H.
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