Efficient shape morphing techniques play a crucial role in the approximation of partial
differential equations defined in parametrized domains, such as for fluid‐structure interaction …

We propose a multiobjective mesh optimization framework for mesh quality improvement
and mesh untangling. Our framework combines two or more competing objective functions …

We propose a derivative‐free mesh optimization algorithm, which focuses on improving the
worst element quality on the mesh. The mesh optimization problem is formulated as a min …

We propose a hybrid mesh deformation algorithm which uses the direction of the boundary
deformation to determine the positions of the interior mesh vertices in the deformed mesh …

Parallel dynamic meshes are essential for computational simulations of large-scale scientific
applications involving motion. To address this need, we propose parallel LBWARP, a …

In this paper, we propose a novel method of generating high-order curvilinear triangular
meshes using an advancing front approach. Our method relies on a direct approach to …

Solving partial differential equations using finite element (FE) methods for unstructured
meshes that contain billions of elements is computationally a very challenging task. While …

Pulmonary embolism (PE) is a potentially-fatal disease in which blood clots (ie, emboli)
break free from the deep veins in the body and migrate to the lungs. In order to prevent PE …

Hydrocephalus is a neurological disease which causes ventricular dilation due to
abnormalities in the cerebrospinal fluid (CSF) circulation. Although treatment via a CSF …

We propose simple and efficient optimization-based untangling strategies for 2D polygonal
and 3D polyhedral meshes. The first approach uses a size-based mesh metric, which …