Nonconformal Adaptive h -Refinement Based on Discontinuity Error Estimator
Haojie Cao, Lin Lei, Ran Zhao, Jun Xi Hu · IEEE Transactions on Antennas and Propagation · 2025
This communication proposes two novel error estimators suitable for the adaptiveh-refinement of curvilinear nonconformal meshes in electromagnetic radiation and scattering analysis: the nonconformal current discontinuity error estimator and the nonconformal current-weighted charge discontinuity error estimator. Both estimators provide accurate evaluation of discretization errors at a low computational cost, and are implemented using the multibranch curvilinear Rao-Wilton-Glisson basis functions. These error estimators are subsequently integrated into an adaptiveh-refinement framework, which automates the mesh refinement process through dyadic subdivision of elements in the parametric coordinate system, thereby simplifying the challenges of generating high-quality meshes. Numerical examples demonstrate the effectiveness and computational efficiency of the proposed methods.