32 citations · 86 across the 14 of their papers we have counts for
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math.NA2017★ 10 cited
A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media
Jun Fang, Jianliang Qian, Leonardo Zepeda-Núñez +1
We propose a hybrid approach to solve the high-frequency Helmholtz equation with point source terms in smooth heterogeneous media. The method is based on the ray-based finite eleme…
math.NA2017★ 4 cited
A ray-based IPDG method for high-frequency time-domain acoustic wave propagation in inhomogeneous media
Eric T. Chung, Chi Yeung Lam, Jianliang Qian
The numerical approximation of high-frequency wave propagation in inhomogeneous media is a challenging problem. In particular, computing high-frequency solutions by direct simulati…
math.AP2017★ 1 cited
Min-max formulas and other properties of certain classes of nonconvex effective Hamiltonians
Jianliang Qian, Hung V. Tran, Yifeng Yu
This paper is the first attempt to systematically study properties of the effective Hamiltonian arising in the periodic homogenization of some coercive but nonconvex…