Title
Isogeometric spectral approximation for elliptic differential operators
Abstract
•Optimally-blended quadratures for isogeometric analysis are applied for spectral approximation of various operators.•Dispersion error is minimized for diffusion-reaction operators with both Dirichlet and Neumann boundary conditions.•Various numerical examples in 1D and 3D demonstrate the performance of the techniques.
Year
DOI
Venue
2019
10.1016/j.jocs.2018.05.009
Journal of Computational Science
Keywords
Field
DocType
Differential operator,Spectral approximation,Isogeometric analysis,Optimally-blended quadratures,Schrödinger operator
Mathematical analysis,Isogeometric analysis,Differential operator,Robustness (computer science),Operator (computer programming),Neumann boundary condition,Quadrature (mathematics),Dirichlet distribution,Mathematics,Eigenvalues and eigenvectors
Journal
Volume
ISSN
Citations 
36
1877-7503
0
PageRank 
References 
Authors
0.34
7
4
Name
Order
Citations
PageRank
Quanling Deng122.11
Vladimir Puzyrev242.91
Victor M. Calo319138.14
Victor M. Calo419138.14