Higher‐order extensions of a discontinuous Galerkin method for mid‐frequency Helmholtz problems

By Charbel Farhat, Radek Tezaur, Paul Weidemann-Goiran. 2004

91 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

The extended/generalized finite element method: An overview of the method and its applications (2010, methodology): “For more information on the DEM, the interested reader is refered to works by Farhat and coworkers [72, 41, 40, 99, 140, 145, 107].”
A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation (2013, methodology): “To the end of alleviating the pollution eﬀect, various continuous or discontinuous ﬁnite element methods have been developed in the literature for solving the Helmholtz equation with large wave numbers [4, 5, 26, 27, 8, 9, 16, 17, 18, 3, 12, 14, 15, 20].”
A new weak Galerkin finite element method for the Helmholtz equation (2015, methodology): “Many numerical schemes have been developed and analyzed for the Helmholtz equation using finite element methods or other numerical methods [1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29] and the references therein.”
PLANE WAVE DISCONTINUOUS GALERKIN METHODS: ANALYSIS OF THE h-VERSION ∗, ∗∗ (2009, methodology): “This has been attempted in the partition of unity (PUM) finite element method [3,20,25,26,28], the discontinuous enrichment approach [14,15,33], in the context of least squares approaches [27,32], and in the so-called “Variational Theory of Complex Rays” (VTCR) approach [29].”