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El-WaveHoltz :
El-WaveHoltz : A time-domain iterative solver for time-harmonic elastic waves
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Appelö, D. (författare)
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Garcia, F. (författare)
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Alvarez Loya, A. (författare)
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- Runborg, Olof, 1967- (författare)
- KTH,Numerisk analys, NA
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(creator_code:org_t)
- Elsevier BV, 2022
- 2022
- Engelska.
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Ingår i: Computer Methods in Applied Mechanics and Engineering. - : Elsevier BV. - 0045-7825 .- 1879-2138. ; 401
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We consider the application of the WaveHoltz iteration to time-harmonic elastic wave equations with energy conserving boundary conditions. The original WaveHoltz iteration for acoustic Helmholtz problems is a fixed-point iteration that filters the solution of the wave equation with time-harmonic forcing and boundary data. As in the original WaveHoltz method, we reformulate the fixed point iteration as a positive definite linear system of equations that is iteratively solved by a Krylov method. We present two time-stepping schemes, one explicit and one (novel) implicit, which completely remove time discretization error from the WaveHoltz solution by performing a simple modification of the initial data and time-stepping scheme. Numerical experiments indicate an iteration scaling similar to that of the original WaveHoltz method, and that the convergence rate is dictated by the shortest (shear) wave speed of the problem. We additionally show that the implicit scheme can be advantageous in practice for meshes with disparate element sizes.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Elastic wave equation
- Helmholtz equation
- Time-harmonic scattering
- Acoustics
- Convergence of numerical methods
- Elastic waves
- Harmonic analysis
- Iterative methods
- Linear systems
- Shear flow
- Time domain analysis
- Elastic wave equations
- Energy-conserving
- Fixed-point iterations
- Helmholtz problems
- Helmholtz's equations
- Iterative solvers
- Time domain
- Time-harmonic
- Time-stepping schemes
- Wave equations
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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