Home /  Recent Developments in Numerical Methods and Algorithms for Geometric Evolution Equations


Recent Developments in Numerical Methods and Algorithms for Geometric Evolution Equations March 16, 2007 - March 17, 2007
Registration Deadline: March 06, 2007 over 17 years ago
To apply for Funding you must register by: December 16, 2006 over 17 years ago
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Organizers Charles Elliott, Xiaobing Feng, Michael Holst, Hongkai Zhao

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Besides their rich and intriguing features and dynamics, geometric evolution equations appear in many scientific, engineering and industrial applications. Numerical computation of geometric evolution equations is quite challenging due to dynamic deformation of geometry, nonlinearity and possible development of singularities, especially topological changes such as self-intersection, merging, pinching, splitting, and fattening. Recently, significant progress has been made in computational methods and algorithms for geometric evolution equations. Powerful numerical methods, which are based on the level set and the phase field methodologies and combine well-known discretization methods such as finite difference methods, finite element methods, finite volume methods and spectral methods with efficient solution methods such as adaptive mesh methods, multilevel methods and domain decomposition methods, have greatly increased the capability of computing solutions of complicated nonlinear geometric evolution equations, in particular, in higher dimensions. Speakers: T. Chan (University of California, Los Angles), C. Elliott (University of Sussex, UK), D. Chopp (Northwestern University), Q. Du (Penn State University), G. Dziuk (University of Freiburg, Germany), R. Nochetto (University of Maryland), Adam Oberman (Simon Fraser University). SCHEDULE: Friday, March 16 1:45pm -- 2:35pm Charlie Elliott 3:00pm -- 3:50pm Tony Chan 4:15pm -- 5:05pm David Chopp Saturday, March 17 9:30am -- 10:20am Gerhard Dziuk 10:45am -- 11:35am Qiang Du 1:30pm -- 2:20pm Ricardo Nochetto 2:45pm -- 3:35pm Adam Oberman A block of rooms has been reserved at The Women's Faculty Club. You can also contact the hotel directly Tel: (510) 642-4175 Fax: (510) 204-9661, or: wfc@uclink.berkeley.edu Identify yourself as coming to MSRI, give the name of David Eisenbud as faculty sponsor, the dept. phone # 642-0143 and a credit card # to guarantee. Cancellation notice is required by 2:00 p.m. the previous day or we will be charged for one night and expect you to reimburse MSRI. Single: $95/night Double/1 queen bed: $107/night Double/2 single beds: $117/night The cut-off date for reservations is March 7, 2007.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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Schedule, Notes/Handouts & Videos
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Mar 16, 2007
01:45 PM - 02:35 PM
  Finite element methods for evolutionary surface PDEs
Charles Elliott (University of Warwick)
04:15 PM - 05:05 PM
  Assorted Applications of Curvature Dependent Motion
David Chopp
Mar 17, 2007
09:30 AM - 10:20 AM
  Numerical Methods for Willmore flow
Gerhard Dziuk
10:45 AM - 11:35 AM
  Phase Field Calculus of Surface Variation: Some Examples
Qiang Du
01:30 PM - 02:20 PM
  Discrete Gradient Flows for Shape Optimization and Applications
Ricardo Nochetto
02:45 PM - 03:35 PM
  Finite Difference schemes for Geometric Nonlinear Elliptic PDEs
Adam Oberman