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math.NA2016★ 32 cited
Perfectly-matched-layer boundary integral equation method for wave scattering in a layered medium
Wangtao Lu, Ya Yan Lu, Jianliang Qian
For scattering problems of time-harmonic waves, the boundary integral equation (BIE) methods are highly competitive, since they are formulated on lower-dimension boundaries or inte…
math.NA2016
Learning Dominant Wave Directions For Plane Wave Methods For High-Frequency Helmholtz Equations
Jun Fang, Jianliang Qian, Leonardo Zepeda-Núñez +1
We present a ray-based finite element method (ray-FEM) by learning basis adaptive to the underlying high-frequency Helmholtz equation in smooth media. Based on the geometric optics…