Layer-Based Integration Arithmetic of Conformal PML
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Layer-Based Integration Arithmetic of Conformal PMLAbstract
As an efficient artificial truncating boundary condition, conformal perfectly matched layer (CPML) is a multilayer anisotropic absorbing media domain. The conventional finite element analysis of CPML generates a large scale coefficient matrix that leads to prohibitive cost to solve. This paper proposes layer-based integration arithmetic, in which, the CPML multilayer integration is substituted by layer-wise summing of monolayer integration on the normal direction, with considering relative dielectric constant and permeability as constants in each very thin monolayer. The arithmetic needs to divide CPML into through-thickness elements of multiple layers, while the coefficient matrix of each element is evaluated by the layer-based integration. Numerical experiments show that the layer-based integration arithmetic is reliable and CPML under this arithmetic becomes a high-efficiency absorbing boundary condition.
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