Surface And Hypersurface Meshing Techniques for Space-Time Finite Element Methods

A novel method is introduced for constructing two-dimensional (2D) surface meshes embedded in three-dimensional (3D) space time and 3D hypersurface four-dimensional (4D) time. In particular, we begin by dividing the space–time domain into slabs. Each slab equipped with an initial plane (hyperplane), conjunction unstructured simplicial (hypersurface) mesh that covers plane. We then obtain vertices of terminating (hyperplane) from using a trajectory-tracking approach. Next, these are used to create on (hyperplane). Thereafter, boundary stitched together form intermediate surfaces or sides slab. After describing this new mesh-generation rigorous detail, provide results multiple numerical experiments which demonstrate its validity flexibility.