DVRlib swMATH ID: 34979 Software Authors: Ramsharan Rangarajan; Adrian Lew Description: DVRlib: A C++ library for geometric mesh improvement using Directional Vertex Relaxation. The success of finite element simulations in physical sciences, applied mathematics, and com- puter graphics relies on generating high-quality unstructured meshes. In general, well-shaped elements are essential to ensure accurate numerical approximations, to improve the condi- tioning of systems of equations to be resolved, and to choose reasonable step sizes in time integration schemes. DVRlib is a C++ library that implements the directional vertex relaxation algorithm introduced in Rangarajan & Lew (2017) to improve qualities of unstructured meshes. DVRlib improves qualities of triangular and tetrahedral elements by iteratively and optimally perturb- ing a selected set of vertices along prescribed directions. During the process, the connectivity of the mesh remains unaltered; just the locations of vertices may change. DVRlib is straight- forward to couple with existing libraries for unstructured mesh generation by invoking the functionalities it provides as a simple post-processing step. Equally significantly, DVRlib enables engineers and researchers to simulate a challenging class of moving boundary problems by helping to maintain good element qualities in deforming meshes. Homepage: https://zenodo.org/record/3995623#.X1nWzS35wRE Source Code: https://bitbucket.org/rram/dvrlib/src/joss/ Keywords: C++ library; geometric mesh; Directional Vertex Relaxation; JOSS; Journal of Open Source Software; finite element simulations; moving boundary problems Related Software: optimesh; Netgen; Mesquite; mmg; TetGen; Triangle; DistMesh; Gmsh; HyperMesh; CGAL Cited in: 0 Publications Standard Articles 1 Publication describing the Software Year