The solution of partial differential equations (PDEs) with disparate space and time scales often benefit from the use of nonuniform meshes and adaptivity to successfully track local solution features. In this paper we consider the problem of grid generation using the so– called equidistribution principle (EP) [3] and domain decomposition (DD) strategies. In the time dependent case, the EP is us...

The sweeping algorithm is a classical algorithm that can generate high quality hexahedral meshes for swept volumes. However, the traditional sweeping algorithm can only generate single axis swept meshes. In order to expand the scope of the model that sweeping algorithms are applicable to, this paper proposes a global multi-axis swept mesh generation approach, which can robustly generate hexahed...

In the numerical solution of partial differential equations (PDEs), high-quality meshes are crucial for the stability, accuracy, and convergence of the associated PDE solver. Mesh quality improvement is often performed to improve the quality of meshes before use in numerical solution of the PDE. Mesh smoothing (performed via optimization) is one popular technique for improving the mesh quality;...

PURPOSE This review reports the incidence of mesh-related erosion after ventral mesh rectopexy to determine whether any difference exists in the erosion rate between synthetic and biological mesh. METHODS A systematic search of the MEDLINE and the Ovid databases was conducted to identify suitable articles published between 2004 and 2015. The search strategy capture terms were laparoscopic ven...

We propose a method for interactive deformation of large detail meshes. Our method allows the users to manipulate the mesh directly using freely-selected handles on the mesh. To best preserve surface details, we introduce a new surface representation, the skin-detached surface. It represents a detail surface model as a peeled “skin” added over a simplified surface model. The “skin” contains the...

We develop a new mesh adaptive technique for the numerical solution of partial differential equations (PDEs) using the hp-version of the finite element method (hp-FEM). The technique uses a combination of approximation and interpolation error estimates to generate anisotropic triangular elements as well as appropriate polynomial approximation degrees. We present a hp-version of the continuous m...

A method for generating geometric surface meshes from a discrete surface, called a reference mesh, is presented. First, the geometrical singularities are extracted from the reference mesh. Then, an almost smooth surface interpolating the reference mesh vertices is associated to the reference mesh. Finally, the reference mesh is adaptively refined via the smooth geometry in order to obtain an ad...

In this study, an automated adaptive mesh control scheme, based on local mesh modifications, is developed for the finite element simulations of 3D metal forming processes. Error indicators are used to control the mesh discretization errors, and a consecutive h-adaptive procedure is conducted. The mesh size field used in the h-adaptive procedure is processed to control the geometric approximatio...

Reverse subdivision consists in constructing a coarse mesh of a model from a finer mesh of this same model. In this paper, we give formulas for reverse Catmull-Clark subdivision. These formulas allow the constructing of a coarse mesh for almost all meshes. The condition for being able to apply these formulas is that the mesh to be reversed must be generated by the subdivision of a coarse mesh. ...

This paper presents current trends and issues in automatic mesh generation. Although automated mesh generation methods in two and three dimensions have been studied intensively, many analysis engineers still craft meshes manually for a certain class of analysis problems. In order to realize fully automated high-quality mesh generation, two technical issues need to be addressed: (1) automated me...