306 citations
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Showing 2017Show all
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math.NA2017★ 2 cited
Analysis of a second order discontinuous Galerkin finite element method for the Allen-Cahn equation and the curvature-driven geometric flow
Huanrong Li, Junzhao Hu
The paper proposes and analyzes an efficient second-order in time numerical approximation for the Allen-Cahn equation, which is a second order nonlinear equation arising from the p…
physics.optics2017★ 57 cited
Bound States in the Continuum on Periodic Structures: Perturbation Theory and Robustness
Lijun Yuan, Ya Yan Lu
On periodic structures, a bound state in the continuum (BIC) is a standing or propagating Bloch wave with a frequency in the radiation continuum. Some BICs (e.g., antisymmetric sta…