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Description: |
Convolution complementarity problems (CCP's) combine Linear Complementarity Problems with convolutions and differential equations. CCP's have the form
$$ 0 \leq u(t) \perp (k*u)(t) + q(t) \geq 0 \qquad\mbox{for all } t$$
They are closely related to the Linear Complementarity Systems of Heemels, Schumacher, van der Schaft, & Weiland. Existence of solutions to CCP's is shown via a numerical discretization provided $k(0^+)$ is a P-matrix and $k(t)$ satisfies some other mild regularity conditions. Uniqueness can also be shown under some further mild conditions. These results can be applied to a simplified model of impact for the wave equation where the Signorini contact conditions are replaced by boundary integrated contact conditions.
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Date: |
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| Start Time: |
15:00 |
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Speaker: |
David Stewart (University of Iowa, USA)
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Place: |
Room 5.5
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| Research Groups: |
-Numerical Analysis and Optimization
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See more:
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<Main>
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