Fireshape: a shape optimization toolbox for Firedrake

2020/05/14 by Paganini, Alberto, Wechsung, Florian · 2 citations
#FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2005.07264

Abstract

We introduce Fireshape, an open-source and automated shape optimization toolbox for the finite element software Firedrake. Fireshape is based on the moving mesh method and allows users with minimal shape optimization knowledge to tackle with ease challenging shape optimization problems constrained to partial differential equations (PDEs).

Cited by

• FormOpt: A FEniCSx toolbox for level set-based shape optimization supporting parallel computing
• TOFLUX: A Differentiable Topology Optimization Framework for Multiphysics Fluidic Problems

Related

• Firedrake
• Shape Optimization using the Finite Element Method on Multiple Meshes
• Exposing and exploiting structure: optimal code generation for high-order finite element methods
• AutoFreeFem: Automatic code generation with FreeFEM++ and LaTex output for shape and topology optimization of non-linear multi-physics problems
• FormOpt: A FEniCSx toolbox for level set-based shape optimization supporting parallel computing