期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 497, 期 -, 页码 -出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2023.112629
关键词
Differential forms; Hodge star operator; Absorbing boundary conditions; Incidence matrix; Complex frequency-shifted perfectly matched; layer
This research explores the application of differential forms in simulating wave propagation problems in three-dimensional domains and presents a novel formulation of the complex frequency-shifted perfectly matched layer. The directional incidence matrix is introduced to confine the unbounded domain, and an illustrative example is provided to validate the effectiveness of the model.
As a significant contribution, we present a novel formulation of the complex frequency-shifted perfectly matched layer (CFS-PML) for differential forms, introducing the innovative concept of a directional incidence matrix. This paper explores the application of differential forms in simulating wave propagation problems in three-dimensional domains. To confine the unbounded domain, we utilize a discretization technique based on the CFS-PML. Additionally, we provide an illustrative example that involves a system comprising a GPR (Ground Penetrating Radar) horn antenna, air, lossy soil, and a buried sphere.
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