Journal article

Unfitted Nitsche's Method for Computing Wave Modes in Topological Materials

Hailong Guo, Xu Yang, Yi Zhu

JOURNAL OF SCIENTIFIC COMPUTING | SPRINGER/PLENUM PUBLISHERS | Published : 2021

Abstract

In this paper, we propose an unfitted Nitsche’s method for computing wave modes in topological materials. The proposed method is based on the Nitsche’s technique to study the performance-enhanced topological materials which have strongly heterogeneous structures (e.g., the refractive index is piecewise constant with high contrasts). For periodic bulk materials, we use Floquet-Bloch theory and solve an eigenvalue problem on a torus with unfitted meshes. For the materials with a line defect, a sufficiently large domain with zero boundary conditions is used to compute the localized eigenfunctions corresponding to the edge modes. The interfaces are handled by the Nitsche’s method on an unfitted ..

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University of Melbourne Researchers

Grants

Awarded by NSF


Awarded by NSFC grant


Funding Acknowledgements

Hailong Guo was partially supported by Andrew Sisson Fund of the University of Melbourne. Xu Yang was partially supported by the NSF grant DMS-1818592. Yi Zhu was partially supported by NSFC grant 11871299.