We call a cusped hyperbolic 3-manifold tetrahedral if it can be decomposed into regular ideal tetrahedra. Simplest examples of tetrahedral manifolds are the Gieseking manifold and the figure-eight knot complement. We provide a census of all tetrahedral manifolds with at most 25 (orientable case) and 21 (non-orientable case) tetrahedra. The talk is based on the joint paper with E. Fominykh, S. G...

This paper presents a method to interactively deform volume images with heterogeneous structural content, using coarse tetrahedral meshes. It rests on two major components: a massively parallel algorithm for the rasterization of tetrahedral meshes, and a method to define a coarse deformable tetrahedral mesh from the homogenization of a fine heterogeneous mesh. We show the potential of the metho...

A new algorithm for simulation of non-isothermal flow in a twin-screw extruder is introduced. In the new algorithm, the finite element mesh of tetrahedral elements is created in the complete barrel including the space occupied by the screws. By partitioning the tetrahedral elements which are intersected by the screw surfaces into two tetrahedral, pyramidal or prismatic finite elements, the new ...

Finite element simulations in computational biomechanics commonly require the discretization of extremely complicated geometries. Creating meshes for these complex geometries can be very difficult and time consuming using hexahedral elements. Automatic meshing algorithms exist for tetrahedral elements, but these elements often have numerical problems that discourage their use in complex finite ...

Structures and energetics of various types of silicon nanowires have been investigated using quantum molecular dynamics simulations to determine the most stable forms. The tetrahedral type nanowires oriented in the 111 direction are found to be the most stable. The stability of the cagelike nanowires is determined to lie somewhere between this and tetrahedral nanowires oriented in other directi...