Journal
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume 41, Issue 5, Pages S433-S461Publisher
SIAM PUBLICATIONS
DOI: 10.1137/18M1194870
Keywords
thin shell cloth simulation; isogeometric analysis; subdivision surfaces; trust region methods; multilevel optimization
Categories
Funding
- Swiss National Science Foundation (SNF)
- DFG (Deutsche Forschungsgemeinschaft) [SPP1748]
Ask authors/readers for more resources
Cloth simulation is an important topic for many applications in computer graphics, animation, and augmented virtual reality. The mechanical behavior of cloth objects can be modeled by the Kirchhoff-Love thin shell equations, which lead to large-scale, nonlinear, ill-conditioned algebraic equations. We propose to solve these nonlinear problems efficiently using the recursive multilevel trust region (RMTR) method. Our multilevel framework for cloth simulations is based on Catmull-Clark subdivision surfaces, which facilitates generation of the mesh hierarchy and also provides the basis for the finite element discretization. The prolongation and restriction operators are similarly constructed based on the subdivision rules. Finally, we leverage a reverse subdivision operator to transfer iterates from fine levels to coarser levels. The novel use of this fine-to-coarse operator provides a computationally efficient alternative to the least-square approach used elsewhere. Using the resulting RMTR variant, we present numerical examples showing a reduction in the number of iterations by several orders of magnitude when compared to a single-level trust region method.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available