3 papers
math.NA2026
Isogeometric analysis for the Helmholtz transmission eigenvalue problem
Nizheng Liao, Guanghui Hu, Xucheng Meng
The transmission eigenvalue problem plays an increasingly important role in inverse scattering theory. Although significant progress has been made in developing efficient numerical…
math.NA2026
A Hybrid Discontinuous Galerkin Method with Isogeometric-Planewaves Coupling for Periodic Full-Potential Electronic Structure Calculations
Baowei Lai, Xucheng Meng, Xiaoxu Li
Full-potential electronic structure calculations for periodic systems retain the Coulomb singularity at the nuclei, which induces cusp behavior of the orbitals near the nuclei whil…
math.NA2025
A Moving Mesh Isogeometric Method Based on Harmonic Maps
Tao Wang, Xucheng Meng, Ran Zhang +1
Although the isogeometric analysis has shown its great potential in achieving highly accurate numerical solutions of partial differential equations, its efficiency is the main fact…