Intersecting a polyhedron with a half-space or another polyhedron is required in various
fields, including computer graphics, computer-aided design, and many methods used in …

We present a Lagrangian discontinuous Galerkin (DG) hydrodynamic method that is up to
third-order accurate using subcell mesh stabilization (SMS) for compressible flows on …

We present a four-field virtual element discretization for the time-dependent resistive
magnetohydrodynamics equations in three space dimensions, focusing on the semi-discrete …

We present new Lagrangian discontinuous Galerkin (DG) hydrodynamic methods for
compressible flows on unstructured meshes in axisymmetric coordinates. The physical …

In this paper, we present high order accurate positivity-preserving conservative remapping
algorithm which is based on the multi-resolution weighted essentially non-oscillatory …

Multiphase flows are ubiquitous in natural and engineered systems and occur over scales
ranging many orders of magnitude, from the movement of the ocean to the flow of blood …

We present a new multidimensional high-order Lagrangian discontinuous Galerkin (DG)
hydrodynamic method that supports hypoelastic and hyperelastic strength models for …

Large scale computational models are important for studying impact cratering events that
are prevalent both on Earth and, more broadly, in this solar system. To address these …

The eXtreme Mesh deformation approach (X-MESH) is a new paradigm to follow sharp
interfaces without remeshing and without changing the mesh topology. Even though the …

We propose a high order positivity-preserving conservative remapping method on three-
dimensional (3D) tetrahedral meshes, based on the weighted essentially non-oscillatory …