50 citations · 211 across the 33 of their papers we have counts for
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Spectral analysis of a family of nonsymmetric fractional elliptic operators
Quanling Deng, Yulong Li
In this work, we investigate the spectral problem where is a fractional elliptic operator involving left- and right-sided Riemann-Liouville derivatives. These operato…
Soft isogeometric analysis of the Bound States of a Quantum Three-Body Problem in 1D
Danyang Li, Quanling Deng
The study of quantum three-body problems has been centered on low-energy states that rely on accurate numerical approximation. Recently, isogeometric analysis (IGA) has been adopte…
SoftIGA: soft isogeometric analysis
Quanling Deng, Pouria Behnoudfar, Victor M. Calo
We extend the softFEM idea to isogeometric analysis (IGA) to reduce the stiffness (consequently, the condition numbers) of the IGA discretized problem. We refer to the resulting ap…
High-Order Enriched Finite Element Methods for Elliptic Interface Problems with Discontinuous Solutions
Champike Attanayake, So-Hsiang Chou, Quanling Deng
Elliptic interface problems whose solutions are continuous have been well studied over the past two decades. The well-known numerical methods include the strongly stable gene…
Isogeometric Analysis of Bound States of a Quantum Three-Body Problem in 1D
Quanling Deng
In this paper, we initiate the study of isogeometric analysis (IGA) of a quantum three-body problem that has been well-known to be difficult to solve. In the IGA setting, we repres…
A boundary-penalized isogeometric analysis for second-order hyperbolic equations
Quanling Deng, Pouria Behnoudfar, Victor Calo
Explicit time-marching schemes are popular for solving time-dependent partial differential equations; one of the biggest challenges these methods suffer is increasing the critical…