Publications

The publications of the POEMS members are listed in the laboratory's HAL collection: HAL collection of POEMS

The publications appearing in the HAL open archive since 2025 are listed below by year.

Higher-Order Discontinuous Galerkin Method for Pyramidal Elements using Orthogonal Bases
- Bergot Morgane
- Duruflé Marc
Numerical Methods for Partial Differential Equations, Wiley, 2013, 29 (1), pp.144-169. We study arbitrarily high-order finite elements defined on pyramids on discontinuous Galerkin methods. We propose a new family of high-order pyramidal finite element using orthogonal basis functions which can be used in hybrid meshes including hexahedra, tetrahedra, wedges and pyramids. We perform a comparison between these orthogonal functions and nodal functions for affine and non-affine elements. Different strategies for the inversion of mass matrix are also considered and discussed. Numerical experiments are conducted for 3-D Maxwell's equations. (10.1002/num.21703)
DOI : 10.1002/num.21703