Long Yuan

17 papers Journal 17
YearRankTypeTitle / Venue / Authors
2025 J jnl
A discontinuous Galerkin plane wave neural network method for Helmholtz equation and Maxwell's equations.
CoRR
Long Yuan, Menghui Wu, Qiya Hu
2025 J jnl
A discontinuous plane wave neural network method for Helmholtz equation and time-harmonic Maxwell's equations.
Adv. Comput. Math.
Long Yuan, Qiya Hu
2024 J jnl
A global space-time Trefftz DG scheme for the time-dependent isotropic elastic wave equations.
J. Comput. Appl. Math.
Long Yuan, Xiaoqiang Yue
2023 J jnl
A discontinuous plane wave neural network method for Helmholtz equation and time-harmonic Maxwell's equations.
CoRR
Long Yuan, Qiya Hu
2023 J jnl
A space-time Trefftz DG scheme for the time-dependent Maxwell equations in anisotropic media.
Math. Comput. Simul.
Long Yuan, Wenxiu Gong
2023 J jnl
Global space-time Trefftz DG schemes for the time-dependent linear wave equation.
Comput. Math. Appl.
Long Yuan
2022 J jnl
A generalized plane wave discontinuous Galerkin method for three-dimensional anisotropic Helmholtz equations with variable wave numbers.
Appl. Math. Lett.
Long Yuan
2021 J jnl
A plane wave least squares method for the Maxwell equations in anisotropic media.
Numer. Algorithms
Long Yuan
2021 J jnl
Global space-time Trefftz DG schemes for the time-dependent linear nonhomogeneous and anisotropic wave equation.
CoRR
Long Yuan
2021 J jnl
Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media.
Comput. Math. Appl.
Long Yuan, Qiya Hu
2020 J jnl
Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers.
Int. J. Comput. Math.
Long Yuan, Qiya Hu
2019 J jnl
A Plane Wave Discontinuous Galerkin method for the Helmholtz equation and Maxwell equations in Anisotropic Media.
CoRR
Long Yuan, Qiya Hu
2019 J jnl
A Trefftz-discontinuous Galerkin method for time-harmonic elastic wave problems.
Comput. Appl. Math.
Long Yuan, Yang Liu
2018 J jnl
A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations.
Adv. Comput. Math.
Qiya Hu, Long Yuan
2018 J jnl
Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers.
J. Comput. Appl. Math.
Long Yuan, Qiya Hu
2014 J jnl
A Plane-Wave Least-Squares Method for Time-Harmonic Maxwell's Equations in Absorbing Media.
SIAM J. Sci. Comput.
Qiya Hu, Long Yuan
2014 J jnl
A newton-penalty method for a simplified liquid crystal model.
Adv. Comput. Math.
Qiya Hu, Long Yuan