Optimal spectral approximation of \(2 n\)-order differential operators by mixed isogeometric analysis
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Publication:1986453
DOI10.1016/j.cma.2018.08.042zbMath1440.65246arXiv1806.04286OpenAlexW2963129551WikidataQ57606347 ScholiaQ57606347MaRDI QIDQ1986453
Quanling Deng, Vladimir Evgenievich Puzyrev, Victor Manuel Calo
Publication date: 8 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.04286
finite elementseigenvalue problemdifferential operatorsquadraturesspectral approximationisogeometric analysis
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15) Theoretical approximation in context of PDEs (35A35)
Related Items (7)
Analytical solutions to some generalized and polynomial eigenvalue problems ⋮ Refined isogeometric analysis of quadratic eigenvalue problems ⋮ SoftIGA: soft isogeometric analysis ⋮ Refined isogeometric analysis for generalized Hermitian eigenproblems ⋮ A boundary penalization technique to remove outliers from isogeometric analysis on tensor-product meshes ⋮ SoftFEM: revisiting the spectral finite element approximation of second-order elliptic operators ⋮ Higher order stable generalized finite element method for the elliptic eigenvalue and source problems with an interface in 1D
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