A Trefftz method whose shape functions are constructed thanks to a high-order DG finite element method - Archive ouverte HAL Access content directly
Conference Papers Year : 2017

A Trefftz method whose shape functions are constructed thanks to a high-order DG finite element method

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Abstract

We investigate the feasibility of constructing local solutions to the Helmholtz equation thanks to high-order DG finite element approximations of the Dirichlet-to-Neumann operator. This is then used in a Tre↵tz Discontinuous Galerkin method in place of a boundary element method that was successfully applied in [1] to solve the Helmholtz problem in very large domains. We perform comparisons between the two approaches by considering large domains of propagation including heterogeneities.
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Dates and versions

hal-01691588 , version 1 (24-01-2018)

Identifiers

  • HAL Id : hal-01691588 , version 1

Cite

Hélène Barucq, Abderrahmane Bendali, Julien Diaz, Sébastien Tordeux. A Trefftz method whose shape functions are constructed thanks to a high-order DG finite element method. WAVES 2017 - 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, May 2017, Minnesota, United States. ⟨hal-01691588⟩
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