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Wednesday, July 10 • 17:50 - 18:10
A GLOBAL ERROR INDICATOR FOR HIGH-ORDER FINITE ELEMENT HELMHOLTZ PROBLEMS

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This study examines the a-priori assignment of polynomial order in the p-version of the FEM for the efficient simulation of time-harmonic acoustics problems. An error indicator is proposed, which accounts not only for the local interpolation error, but also for the accumulation of phase errors (i.e. the so-called pollution effect). The finite element mesh is traversed using a variant of the breadth first search, a strategy developed for graph numbering. The local phase error is computed from a dispersion analysis performed on a one-dimensional element of equivalent size. The local orders are incremented until the global error reaches a user-defined target. Anisotropic p-refinement, allowing direction-dependent polynomial approximations is also included, which further improves the efficiency of the model on grids with distorted elements. The proposed method is verified on several academic two- and three-dimensional Helmholtz problems including non-uniform meshes with different element types.

Moderators
GG

Gwenael Gabard

Dr., LAUM, Le Mans Université

Authors

Wednesday July 10, 2019 17:50 - 18:10 EDT
Outremont 5
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