.png){kind=icon}
.png){kind=icon}
Return
HIGHER-ORDER MOVING MESH METHODS FOR PDE-CONSTRAINED SHAPE OPTIMIZATION
.png){kind=icon}
OA
AI
DOI：10.1137/17M1133956.png)
.png){kind=icon}
.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
We present a new approach to discretizing shape optimization problems that generalizes standard moving mesh methods to higher-order mesh deformations and that is naturally compatible with higher-order finite element discretizations of PDE-constraints. This shape optimization method is based on discretized deformation diffeomorphisms and allows for arbitrarily high resolution of shapes with arbitrary smoothness. Numerical experiments show that this method allows the solution of PDE-constrained shape optimization problems to high accuracy.
Keywords:
shape optimization
PDE-constraint
finite elements
moving mesh
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
2.6
Papers:
5.1K
Citations:
1.8W