Mapping a triangulated surface to 2D space (or a tetrahedral mesh to 3D space) is an
important problem in geometry processing. In computational physics, untangling plays an …

We describe a framework for controlling and improving the quality of high-order finite
element meshes based on extensions of the Target-Matrix Optimization Paradigm (TMOP) of …

The accuracy, robustness, dissipation characteristics and efficiency of several structured and
unstructured grid methods are investigated with reference to the low Mach double vortex …

We aim to tackle the challenge of generating unstructured high-order meshes of complex
three-dimensional bodies, which remains a significant bottleneck in the wider adoption of …

In this paper we propose tools for high-order mesh optimization and demonstrate their
benefits in the context of multi-material Arbitrary Lagrangian-Eulerian (ALE) compressible …

We propose a method that morphs high-order meshes such that their boundaries and
interfaces coincide/align with implicitly defined geometries. Our focus is particularly on the …

Optimal mapping is one of the longest-standing problems in computational mathematics. It is
natural to measure the relative curve length error under map to assess its quality. The …

The generation of sufficiently high quality unstructured high-order meshes remains a
significant obstacle in the adoption of high-order methods. However, there is little consensus …

The development of the software package FlowModellium designed for simulating high-
speed flows of continuum medium taking into account nonequilibrium chemical reactions is …

A two-level OpenMP+ MPI parallel implementation is used to numerically solve a model
kinetic equation for problems with complex three-dimensional geometry. The scalability and …