CS 598ANH : Calculus on Meshes
Fall 2005
University of Illinois at Urbana-Champaign, Department of Computer Science
Class Schedule
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August 25 - September 27, November 1, December 6 and 8 :
Instructor will give lectures on smooth and discrete exterior
calculus. The rest of the term will be student presentations as given
below. The student presentations will be approximately 45 minutes to 1 hour followed
by an instructor-led discussion.
-
Name: Andrew Hesford
Date: Sep 29, Thursday
Topic: Convergence paper in the computational series of Bossavit's
Japan papers.
Slides: PDF
slides from Andrew Hesford's presentation.
-
Name: Andrew Colombi
Date: Oct 4, Tuesday
Topic:
@inproceedings{GuYa2003,
Author = {Xianfeng Gu and Shing-Tung Yau},
Booktitle = {Eurographics Symposium on Geometry Processing},
Editor = {L. Kobbelt and P. Schroder and H. Hoppe},
Publisher = {Eurographics},
Title = {Global Conformal Surface Parameterization},
Year = {2003}}
@phdthesis{Gu2002,
Author = {Xianfeng Gu},
School = {Harvard University},
Title = {Parametrization for surfaces with arbitrary topology},
Year = {2002}}
Slides: Andrew Colombi used the whiteboard to give his talk so no slides are available.
-
Name: Nick Bray
Date: Oct 6, Thursday
Topic:
@unpublished{Shewchuck2002,
Author = {Jonathan R Shewchuck},
Title = {What is a good linear finite element? {I}nterpolation, conditioning, anisotropy and quality measures},
Year = {2002}}
Slides: Nick Bray used the whiteboard to give his talk so no slides are available.
-
Name: Scott Kircher
Date: Oct 11, Tuesday
Topic:
@article{CiOrSc2000,
Author = {Fehmi Cirak and Michael Ortiz and Peter Schroder},
Journal = {International Journal of Numerical Methods in Engineering},
Title = {Subdivision surfaces: a new paradigm for thin-shell finite element analysis},
Year = {2000}}
Slides: Powerpoint and
PDF slides from
Scott Kircher's presentation.
-
Name: Eric Lorimer
Date: Oct 13, Thursday
Topic:
@article{PiPo1993,
Author = {Ulrich Pinkall and Konrad Polthier},
Journal = {Experimental Mathematics},
Number = {1},
Pages = {15-36},
Title = {Computing Discrete Minimal Surfaces and Their Conjugates},
Volume = {2},
Year = {1993}}
Slides: PDF slides from
Eric Lorimer's presentation.
-
Name: Xi Lin
Date: Oct 18, Tuesday
Topic:
@article{BoKe2000,
Author = {Alain Bossavit and Lauri Kettunen},
Journal = {IEEE Trans. Mag.},
Month = {July},
Number = {4},
Pages = {861--867},
Title = {{Y}ee-like schemes on staggered cellular grids: a synthesis
between {FIT} and {FEM} approaches},
Volume = {36},
Year = {2000}}
Slides: Xi Lin used the whiteboard to give his talk so no
slides are available.
-
Name: Mike Saville
Date: Oct 20, Thursday
Topic: Solving Maxwell's Equations ... Fast
Slides: Powerpoint
slides from Mike Saville's presentation.
-
Name: Aaron Becker
Date: Oct 25, Tuesday
Topic:
@article{Forman1998,
Author = {Forman, Robin},
Fjournal = {Mathematische Zeitschrift},
Journal = {Math. Z.},
Number = {4},
Pages = {629--681},
Title = {Combinatorial vector fields and dynamical systems},
Volume = {228}
Slides: PDF
slides from Aaron Becker's presentation.
-
Name: Shadi Ashnai
Date: Oct 27, Thursday
Topic:
@inproceedings{MeDeScBa2002,
Author = {Mark Meyer and Mathieu Desbrun and Peter Schroder and
Alan H. Barr},
Booktitle = {International Workshop on Visualization and Mathematics,
VisMath},
Title = {Discrete differential-geometry operators for triangulated
2-manifolds},
Year = {2002}}
Slides: Powerpoint
and PDF
slides from Shadi Ashnai's presentation.
Nov 1, Tuesday : Lecture by instructor.
-
Name: Isaac Dooley
Date: Nov 3, Thursday
Topic: @article{Mattiussi1997,
Author = {Claudio Mattiussi},
Journal = {Journal of Computational Physics},
Title = {An analysis of finite volume, finite element, and finite
difference methods using some concepts from algebraic topology},
Year = {1997}}
Slides: Powerpoint
and PDF
slides from Isaac Dooley's presentation.
-
Name: Nathan Bell
Date: Nov 8, Tuesday
Topic:
@inproceedings{AlCoYvDe2005,
Author = {Pierre Alliez and David Cohen-Steiner and Mariette Yvinec and
Mathieu Desbrun},
Booktitle = {Proceedings ACM SIGGRAPH},
Title = {Variational Tetrahedral Meshing},
Year = {2005}}
Slides: Powerpoint
and PDF
slides from Nathan Bell's presentation.
-
Name: Anil Kodali
Date: Nov 10, Thursday
Topic:
@unpublished{ElToKaScDe2005,
Author = {Sharif Elcott and Yiying Tong and Eva Kanso and Peter
Schroder and Mathieu Desbrun},
Title = {Stable, Circulation-Preserving, Simplicial Fluids},
Year = {2005}}
Slides: PDF
slides from Anil Kodali's presentation.
-
Name: John Jossey
Date: Nov 15, Tuesday
Topic:
@article{Dodziuk1976,
Author = {Dodziuk, Jozef},
Journal = {Amer. J. Math.},
Number = {1},
Pages = {79--104},
Title = {Finite-difference approach to the {H}odge theory of harmonic
forms},
Volume = {98},
Year = {1976}}
Slides: John Jossey used the whiteboard to give his talk so
no slides are available.
-
Name: Brent Kraczek
Date: Nov 17, Thursday
Topic: Spacetime finite element techniques used for solid mechanics.
Slides: Will not be posted here.
-
Name: Valerie Peterson
Date: Nov 29, Tuesday
Topic:
@article{Forman2002c,
Author = {Forman, Robin},
Fjournal = {International Journal of Mathematics},
Number = {4},
Pages = {333--368},
Title = {Combinatorial {N}ovikov-{M}orse theory},
Volume = {13},
Year = {2002}}
Slides: Valerie Peterson used the whiteboard to give her talk so
no slides are available.
- The instructor will give a lecture on Discrete Exterior Calculus on Dec 1,
Thursday.
-
Name: John Jossey (continued)
Date: Dec 6, Tuesday
Topic:
@article{Dodziuk1976,
Author = {Dodziuk, Jozef},
Journal = {Amer. J. Math.},
Number = {1},
Pages = {79--104},
Title = {Finite-difference approach to the {H}odge theory of harmonic
forms},
Volume = {98},
Year = {1976}}
Slides: John Jossey used the whiteboard to give his talk so
no slides are available.
-
Name: Shen Dong
Date: Dec 8, Thursday
Topic:
@article{GoGoTh2005,
Author = {S. J. Gortler and C. Gotsman and D. Thurston},
Journal = {Journal of CAGD (to appear)},
Title = {One-Forms on Meshes and Applications to 3D Mesh Parameterization},
Year = {2005}}
Slides: Powerpoint
and PDF
slides from Shen Dong's presentation.
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