A 3-D Interface-Enriched Generalized FEM for Electromagnetic Problems With Nonconformal Discretizations


An interface-enriched generalized finite-component method (IGFEM) is introduced for efficient 3-D electromagnetic analysis of heterogeneous materials. While not using meshes that conform to the material microstructures, that greatly lessens the burden of mesh generation, the strategy assigns generalized degrees of freedom (DOFs) at material interfaces to capture the discontinuities of the sphere and its derivatives. The generalized DOFs are supported by enriched vector basis functions (VBFs), which are created through a linear combination of the VBFs from the subelements. Many verification examples are provided to show that the IGFEM isn't sensitive to the standard of the subelements and maintains the same level of resolution accuracy and computational complexity as the quality finite-part method (FEM) based mostly on conformal meshes. The potential of the proposed IGFEM is demonstrated by simulating some engineering issues with complicated, periodic internal structures, as well as composite materials with randomly distributed spherical particles and ellipsoidal inclusions and microvascular channels.

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