Adaptive Finite Element Discretization of a Phase Field Model of Brittle Fracture
Mathematics - Colloquium
| Date & Time: |
Friday, May 9, 2008 11:00 AM-12:00 PM |
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| Suggested Audiences: | Adult, College | |
| Location: Find Local Food & Accommodations |
WPI: Stratton Hall 203 100 Institute Road Worcester, MA 01609-2280 |
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| Description: | SPEAKER: Christoph Ortner (Oxford University) ABSTRACT: Adaptive finite element methods are a popular tool for numerical analysts for the efficient discretization of PDEs with singular or "near singular" solutions. In recent years, significant progress has been made in their analysis, and we now have a good understanding of their convergence and optimality. In this talk, I will begin by describing adaptive finite element methods and their analysis at a simple model problem and then show how these ideas can be used to efficiently discretize the Ambrosio--Tortorelli functional, a "phase-field model" of brittle fracture. If time permits, I will present a convergence proof for an adaptive optimization algorithm for this highly non-convex functional. |
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| More Information: |
E-mail:
ma-chair@wpi.edu
Entered by: WPI: Mathematical Sciences Department |
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Created: April 11, 2008 at 8:41 AM
Last Modified: April 11, 2008 at 1:09 PM
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