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Article Dans Une Revue Computer Methods in Applied Mechanics and Engineering Année : 2020

Parallel Controllability Methods For the Helmholtz Equation

Résumé

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. Two different approaches are considered here based either on the first or second-order formulation of the wave equation. Both are extended to general boundary-value problems governed by the Helmholtz equation and lead to robust and inherently parallel algorithms. Numerical results illustrate the accuracy, convergence and strong scalability of controllability methods for the solution of high frequency Helmholtz equations with up to a billion unknowns on massively parallel architectures.
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Dates et versions

hal-02046089 , version 1 (22-02-2019)

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Marcus Grote, Frédéric Nataf, Jet Hoe Tang, Pierre-Henri Tournier. Parallel Controllability Methods For the Helmholtz Equation. Computer Methods in Applied Mechanics and Engineering, 2020, 362, ⟨10.1016/j.cma.2020.112846⟩. ⟨hal-02046089⟩
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