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math.NA2017★ 18 cited
A Heterogeneous FMM for 2-D Layered Media Helmholtz Equation I: Two & Three Layers Cases
Min Hyung Cho, Jingfang Huang, Dangxing Chen +1
In this paper, we will introduce a new heterogeneous fast multipole method (H-FMM) for 2-D Helmholtz equation in layered media. To illustrate the main algorithm ideas, we focus on…
math.NA2017
High Order Hierarchical Divergence-free Constrained Transport Finite Element Method for Magnetic Induction Equation
Wei Cai, Jun Hu, Shangyou Zhang
In this paper, we will use the interior functions of an hierarchical basis for high order elements to enforce the divergence-free condition of a magnetic field approxim…