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Seminars for the week of April 30, 2007
Colloquium
Thursday, 3:20, in VinH 16Professor Mitchell Luskin
of University of Minnesota
will speak on
"Mathematical challenges in coupling atomistic and continuum
models"
The quasicontinuum method has been successfully used to efficiently couple atomistic and continuum models for crystalline solids. The atomistic model is used in regions with highly non-uniform deformations such as around dislocations, whereas the continuum model is used in regions with nearly uniform deformations to reduce the number of degrees of freedom. We have developed adaptive methods to detect phase transformations and consequently to change the lattice periodicity used to compute the continuum strain energy density. The extension of the quasicontinuum method to complex lattice structues, particuarly when structural phase transformation is being considered, requires a generalization of the Cauchy-Born rule to allow for adaptive period extension. The validity of this approximation is dependent on the utilization of a unit cell that does not restrict possible lattice instabilities. At the same time, the computational efficiency of the method relies on the use of a minimal cell size. We have also proposed and analyzed a goal-oriented a posteriori error estimator for the atomistic-continuum modeling error in the quasicontinuum method. Based on this error estimator, we have developed an algorithm which adaptively determines which regions need to be modeled atomistically to be able to compute a quantity of interest to within a given tolerance. We have applied the algorithm to the computation of the structure of a crystallographic defect described by a Frenkel-Kontorova model. Our numerical results show that our method gives an efficient estimate of the error and a nearly optimal atomistic-continuum modeling strategy. Joint work with Marcel Arndt, Matthew Dobson, Ryan Elliott, and Ellad Tadmor.
Monday, 30 Apr 2007
- Jeremy Bellay will speak on "Title: to be announced"
- Professor Dihua Jiang will speak on "Residue of Eisenstein series - a continuation"
- Professor Gregory Seregin from Steklov Institute will speak on "Local regularity for the Navier-Stokes Equation, IV"
-
Dynamical Systems Seminar:
at 3:35 in VinH 570
-
Student Lie Groups Seminar:
at 3:35 in VinH 213
-
PDE/Special Ordway Lecture:
at 4:40 in VinH 206
Tuesday, 1 May 2007
- Benjamin J. Howard will speak on "Title to be announced"
- Mr. Kuerak Chung will speak on "Based cacti"
- Professor Jon Rogness will speak on "The geometry of chain complexes"
- Touc V. Phan will speak on "De Giorgi-Nash-Moser's iteration and uniform boundedness of solutions to a class of parabolic equations"
-
IMA Postdoc Seminar:
at 11:15 in Lind Hall 215
-
Algebra, Topology, and Physics:
at 1:20 in VinH 301
-
Jr. Colloquium:
at 3:30 in VinH 16
-
Student Seminar on Differential Equations:
at 5:00 in VinH 203B
Wednesday, 2 May 2007
- ... Speaker/Title: to be announced
- Professor Laurent Clozel from University of Paris, at Orsay will speak on "Algebraic automorphic forms and motives"
- Li Zhong will speak on "Construction of Weil representations"
- Professor Joachim Krieger from Harvard University will speak on "A new type of singularity formation for certain nonlinear wave equations"
- Jason Vinar, GMAC-RFC will speak on "Special PRACTITIONER LECTURE."
-
Algebraic Geometry and Applications:
at 11:15 in EE/CS 3-180
-
Special Ordway Lecture Series:
at 2:30 in VinH 213
-
Student Automorphic Forms:
at 3:35 in VinH 213
-
PDE Lecture:
at 3:35 in VinH 570
-
Financial Mathematics:
at 6:30 in VinH 570
Thursday, 3 May 2007
- Professor Luca Rondi from University of Trieste will speak on "A variational approach to reconstruction in inverse boundary value problems"
- Professor Richard B. Moeckel will speak on "Some applications of real root counting to mechanics"
- Dr. Stephen Griffeth will speak on "Representations of complex reflection groups - a continuation"
- Professor Mitchell Luskin from University of Minnesota will speak on "Mathematical challenges in coupling atomistic and continuum models"
-
Applied Mathematics and Numerical Analysis:
at 11:15 in VinH 570
-
Weekly Tutorial: Real Algebraic Geometry:
at 11:15 in LindH 409
-
Algebraic Representation Theory:
at 1:25 in VinH 206
-
Colloquium:
at 3:20 in VinH 16
Friday, 4 May 2007
- Laxmi Parida from IBM Thomas J. Watson Research Center will speak on "Pattern discovery in bioinformatics"
- Professor Laurent Clozel from University of Paris, at Orsay will speak on "Algebraic automorphic forms and motives"
- Molly Maxwell will speak on "Title: to be announced"
- Professor Patricia Hersh from Indiana University will speak on "Title: to be announced"
- Professor Paul Garrett will speak on "Averages over families: doubling"
- Professor Avner Friedman from Ohio State University and Mathematical Biosciences Institute will speak on "A quasilinear parabolic-hyperbolic system"
-
Industrial Problems Seminar:
at 1:25 in VinH 1
-
Special Ordway Lecture Series:
at 2:30 in VinH 213
-
Student Combinatorics:
at 2:30 in VinH 570
-
Combinatorics:
at 3:35 in VinH 570
-
Automorphic Forms and Number Theory:
at 3:35 in VinH 364
-
Special Joint Real Analysis/PDE Seminar:
at 4:40 in VinH 16
Professor John Mallet-Paret from Brown University will be visiting for one month beginning April 1, 2007. His visit is made possible by the Ordway Endowment. During his stay, Professor Mallet-Paret's office will be VinH 109A; you can reach him by phone at 625-6398.\hfill\break\vskip .2cmProfessor Laurent Clozel, University of Paris-SUD will visit the School of Mathematics for one month beginning April 8, 2007. Professor Clozel's visit is made possible by the Ordway Endowment. While in residence, Professor Clozel's office will be Vincent Hall 323; you can reach him by phone at 625-6802
