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 …

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 present an hr-adaptivity framework for optimization of high-order meshes. This work
extends the r-adaptivity method by Dobrev et al.(Comput Fluids, 2020), where we utilized the …

A variational method that can provably construct 3D quasi-isometric mappings between
domains of a complex shape is introduced. A local maximum principle for polyconvex mesh …

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 …

There are far too many quality and optimization metrics in the meshing literature than are
needed. The situation with Target Matrix Optimization Paradigm (TMOP) is the same …

We present a method for simulation-driven optimization of high-order curved meshes. This
work builds on the results of Dobrev et al.(The target-matrix optimization paradigm for high …

We propose a new approach for controlling the characteristics of certain mesh faces during
optimization of high-order curved meshes. The practical goals are tangential relaxation …

The Target Matrix Optimization Paradigm (TMOP) is a method for improving the accuracy,
efficiency, and robustness of numerical solutions to partial differential equations by …

Abstract The Target Matrix Optimization Paradigm for improving mesh quality has always
had, as its agenda, to create a direct path between application mesh quality requirements …