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20142024
most citedDispersion-optimized quadrature rules for isogeometric analysis: modified inner products, their dispersion properties, and optimally blended schemes

50 citations · 211 across the 33 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.NA2020

SoftFEM: revisiting the spectral finite element approximation of second-order elliptic operators

Quanling Deng, Alexandre Ern

We propose, analyze mathematically, and study numerically a novel approach for the finite element approximation of the spectrum of second-order elliptic operators. The main idea is…

math.NA2020★ 33 cited

A boundary penalization technique to remove outliers from isogeometric analysis on tensor-product meshes

Quanling Deng, Victor Calo

We introduce a boundary penalization technique to improve the spectral approximation of isogeometric analysis (IGA). The technique removes the outliers appearing in the high-freque…

math.NA2020★ 1 cited

Analytical solutions to some generalized and polynomial eigenvalue problems

Quanling Deng

It is well-known that the finite difference discretization of the Laplacian eigenvalue problem leads to a matrix eigenvalue problem (EVP) where the matrix …