In this paper, we present a method for generating hex-dominant meshes with targeted all-hex regions over closed volumes. The method begins by generating a piecewise-continuous metric tensor field over the volume. This field specifies desired anisotropy and directionality during the subsequent meshing stages. Meshing begins with field-guided tiling of individual structured hexahedral fronts wher...

Throughout this thesis, there is an underlying assumption that the quality of a computer graphics image is important. This thesis reports research into computer image synthesis for obtaining this quality. The introduction of discontinuity meshing into existing radiosity techniques has enabled images to be produced at levels of previously unobtainable quality. However, discontinuity meshing is a...

A major difficulty in finite element analysis is the preparation of an effective mesh leading to a good response solution. In engineering analyses of complex components, oftentimes, much more time is spent to arrive at an adequate mesh than to obtain the solution of the established finite element model. The difficulty in meshing is due to the fact that finite elements need to abut each other an...

We describe a domain decomposition (DD) algorithm for use in the parallel adaptive meshing paradigm of Bank and Holst [3, 4]. Our algorithm has low communication, makes extensive use of existing sequential solvers, and exploits in several important ways data generated as part of the adaptive meshing paradigm. Numerical examples illustrate the effectiveness of the procedure.

it is difficult to develop an algorithm which is able to generate the appropriate mesh around the interfaces in bimaterials. in this study, a corresponding algorithm is proposed for this class of unified structures made from different materials with arbitrary shapes. the non-uniform mesh is generated adaptively based on advancing front technique available in abaqus software. implementing severa...

Planar hexagonal-dominant (PHex) meshes are an important class of meshes with minimal vertex-degree. They are highly useful in the rationalization of freeform architectural surfaces, for construction with flat steel, glass, or wooden panels of equal thickness. A PHex mesh must contain both convex and concave faces of varying anisotropic shapes due to the planarity constraint. Therefore, while p...

Even though many methods have been suggested to meet the challenge of all-hexahedral meshing, octree-based methods remain the most efficient from an engineering point of view. As of today, its robustness, speed and robustness are still unmatched. This paper presents advances made in the Hexotic project, especially in terms of sharp angles meshing, non-manifold geometries and adaptation.

Meshing is the process of computing, for a given surface, a representation consisting of pieces of simple surface patches, like triangles. This survey discusses all currently known surface (and curve) meshing algorithms that come with correctness and quality guarantees. Page references to other chapters are to the pages of the book. The original publication is available on-line at www.springerl...