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Scaled boundary finite element method for the electric interface problems
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DOI：10.1016/j.compstruc.2026.108364.png)
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Abstract
En 中文
In this article, we present a scaled boundary finite element (SBFEM) discretization for electric interface problems characterized by discontinuous coefficients across material interfaces. A fully discrete scheme is developed by combining implicit Euler time integration with spatial discretization based on bilinear quadrilateral and general polygonal elements. The unknown field is approximated using scaled boundary shape functions defined over these elements. For numerical implementation, an interface-fitted polygonal mesh is constructed by locally modifying a background mesh wherever it is intersected by the interface, enabling an accurate representation of discontinuities. The performance of the proposed method is demonstrated through a series of numerical experiments. The results show that the method achieves high accuracy and robustness, with optimal convergence rates observed when the time step satisfies the scaling Δt=O(h2).
Keywords:
Scaled boundary finite element method
Time-dependent
Discontinuous coefficients
Electric interface
Polygonal meshes
Journal
C
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4.8
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216
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0