www.Autodiff.org - Publication: Computing Derivatives in a Meshless Simulation Using Permutations in ADOL-C

Computing Derivatives in a Meshless Simulation Using Permutations in ADOL-C

- incollection -

Author(s)
Kshitij Kulshreshtha , Jan Marburger

Published in
Recent Advances in Algorithmic Differentiation

Editor(s)
Shaun Forth, Paul Hovland, Eric Phipps, Jean Utke, Andrea Walther

Year
2012

Publisher
Springer

Abstract
In order to compute derivatives in a meshless simulation one needs to take into account the ever changing neighborhood relationships in a point-cloud that describes the domain. This may be implemented using permutations of the independent and dependent variables during the assembly of the discretized system. Such branchings are difficult to handle for operator overloading ad tools using traces. In this paper, we propose a new approach that allows the derivative computations for an even larger class of specific branches without retracing.

Cross-References
Forth2012RAi

AD Tools
ADOL-C

BibTeX
@INCOLLECTION{
         Kulshreshtha2012CDi,
       title = "Computing Derivatives in a Meshless Simulation Using Permutations in {ADOL-C}",
       doi = "10.1007/978-3-642-30023-3_29",
       author = "Kshitij Kulshreshtha and Jan Marburger",
       abstract = "In order to compute derivatives in a meshless simulation one needs to take into
         account the ever changing neighborhood relationships in a point-cloud that describes the domain.
         This may be implemented using permutations of the independent and dependent variables during the
         assembly of the discretized system. Such branchings are difficult to handle for operator overloading
         AD tools using traces. In this paper, we propose a new approach that allows the derivative
         computations for an even larger class of specific branches without retracing.",
       pages = "321--331",
       crossref = "Forth2012RAi",
       booktitle = "Recent Advances in Algorithmic Differentiation",
       series = "Lecture Notes in Computational Science and Engineering",
       publisher = "Springer",
       address = "Berlin",
       volume = "87",
       editor = "Shaun Forth and Paul Hovland and Eric Phipps and Jean Utke and Andrea Walther",
       isbn = "978-3-540-68935-5",
       issn = "1439-7358",
       year = "2012",
       ad_tools = "ADOL-C"
}

back

autodiff.org
Username:
Password: