Quadrilateral Mesh Generation for Open Surfaces with Negative Euler Characteristics Based on Symmetric Abel Differentials

This study introduces a quadrilateral mesh generation method tailored for surfaces with multiple boundaries and negative Euler characteristic numbers, utilizing symmetric Abel differentials. Grounded in robust theoretical principles, this method generates high-quality quad-meshes characterized by exceptional orthogonality and minimal singularity presence. Additionally, the grid lines are strategically aligned with the boundaries, enhancing the mesh's structural integrity and applicability in complex modeling scenarios.