A Derivative-Free Mesh Optimization Algorithm for Mesh Quality Improvement and Untangling
نویسندگان
چکیده
منابع مشابه
Two derivative-free optimization algorithms for mesh quality improvement
High-quality meshes are essential in the solution of partial differential equations (PDEs), which arise in numerous science and engineering applications, as the mesh quality affects the solution accuracy, the solver execution time, and the problem conditioning. Mesh quality improvement is necessary when the mesh is of less than desirable quality (either from mesh generation or deformation). Non...
متن کاملA mesh-free algorithm for ROF model
The total variation (TV) denoising method is a PDE-based technique that preserves the edges well but has undesirable staircase effect in some cases, namely, the translation of smooth regions (ramps) into piecewise constant regions (stairs). This paper introduces a novel mesh-free approach using TV (ROFmodel) regularization and radial basis function (RBF) for the numerical approximation of TV-ba...
متن کاملConvex Optimization for Simplicial Mesh Improvement
In this project I explore several strategies utilizing convex optimization for the purpose of improving the quality of a simplicial mesh. The intended application for the meshes is for performing finite element/volume simulations and therefore mesh quality and in particular the minimum element quality is of fundamental importance. In the first part I look at methods for creating valid meshes fr...
متن کاملSurface Mesh Optimization, Adaption, and Untangling with High-Order Accuracy
We investigate the problem of optimizing, adapting, and untangling a surface triangulation with high-order accuracy, so that the resulting mesh has sufficient accuracy for high-order numerical methods, such as finite element methods with quadratic or cubic elements or generalized finite difference methods. We show that low-order remeshing, which may preserve the “shape” of the surface, can unde...
متن کاملHexahedral mesh quality improvement via edge-angle optimization
Supplementary Material 1 Our method can successfully optimize over 50 octree-based 2 meshes, The results are showed in the following tables. 3 Table 1. Improving Quality of hex-meshes Octree-based method. We use metro tools to compute Hausdorff distance wrt. bounding box diagonal [1]. For each model, the first and second row is input and output, respectively. Model #hexes Err MSJ ASJ airplane1 ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2015
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2015/264741