Numerical simulation of electromagnetic, thermal, and mechanical responses of the human
body to different stimuli in magnetic resonance imaging safety, antenna research …

Triangle meshes are used in many important shape-related applications including geometric
modeling, animation production, system simulation, and visualization. However, these …

This book is about adaptive mesh generation and moving mesh methods for the numerical
solution of time-dependent partial differential equations. It presents a general framework and …

In this paper, a novel Delaunay-based variational approach to isotropic tetrahedral meshing
is presented. To achieve both robustness and efficiency, we minimize a simple mesh …

In the last years triangle meshes have become increasingly popular and are nowadays
intensively used in many different areas of computer graphics and geometry processing. In …

We present a new general-purpose method for optimizing existing point sets. The resulting
distributions possess high-quality blue noise characteristics and adapt precisely to given …

In this paper, we present a new optimal interpolation error estimate in $ L^ p $ norm ($1\leq
p\leq\infty $) for finite element simplicial meshes in any spatial dimension. A sufficient …

We present a practical approach to isotropic tetrahedral meshing of 3D domains bounded by
piecewise smooth surfaces. Building upon recent theoretical and practical advances, our …

In this paper, several mesh optimization schemes based on Optimal Delaunay
Triangulations are developed. High-quality meshes are obtained by minimizing the …

This work presents the Griffith-type phase-field formation at large deformation in the
framework of the adaptive edge-based smoothed finite element method (ES-FEM) for the …