Mesh shape-quality optimization using the inverse mean-ratio metric
نویسندگان
چکیده
منابع مشابه
Mesh shape-quality optimization using the inverse mean-ratio metric
Meshes containing elements with bad quality can result in poorly conditioned systems of equations that must be solved when using a discretization method, such as the finite-element method, for solving a partial differential equation. Moreover, such meshes can lead to poor accuracy in the approximate solution computed. In this paper, we present a nonlinear fractional program that relocates the v...
متن کاملMesh Shape-Quality Optimization Using the Inverse Mean-Ratio Metric: Tetrahedral Proofs
This technical report is a companion to [5] that proves the diagonal blocks of the Hessian matrix for the inverse mean-ratio metric for tetrahedral elements are positive definite. Thus, the block Jacobi preconditioner used in the inexact Newton method to solve the mesh shape-quality optimization problem using the average inverse mean-ratio metric for the objective function is positive definite....
متن کاملInverse Diffusion Curves using Shape Optimization
The inverse diffusion curve problem focuses on automatic creation of diffusion curve images that resemble user provided color fields. This problem is challenging since the 1D curves have a nonlinear and global impact on resulting color fields via a partial differential equation (PDE). We introduce a new approach complementary to previous methods by optimizing curve geometry. In particular, we p...
متن کاملShape optimization of quad mesh elements
We study the problem of optimizing the face elements of a quad mesh surface, that is, resampling a given quad mesh to make it possess, as much as possible, face elements of some desired aspect ratio and size. Unlike previous quad mesh optimization/improvement methods based on local operations on a small group of elements, we adopt a global approach that does not introduce extra singularities an...
متن کاملShape Optimization for Inverse Electromagnetic Casting Problems
In this paper we present an algorithm for inverse optimization problems concerning electromagnetic casting of molten metals. We are interested in locating suitable inductors around the molten metal so that the equilibrium shape be as near as possible to a desired target shape. A Simultaneous Analysis and Design (SAND) mathematical programming formulation is stated for the inverse problem. The r...
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 Programming
سال: 2006
ISSN: 0025-5610,1436-4646
DOI: 10.1007/s10107-006-0014-3