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Mesh Conformity in the X-Mesh Approach in 3D
1 : iMMC, Université catholique de Louvain (UCLouvain)
We present the first extension of the X-Mesh method to three-dimensional tetrahedral meshes. A bipartite minimum-vertex-cover formulation identifies the smallest set of mesh vertices that must be snapped to the interface. A foldover-free optimization step then relaxes the mesh and removes inverted elements while constraining snapped vertices to remain conformal to the interface. The resulting mesh conforms to the prescribed geometry but contains highly flattened tetrahedra. To compute on such meshes, we rely on the recently developed Tempered Finite Element Method (TFEM).
