Optimal-Transportation Meshfree Approximation Schemes - Solid ...
Optimal-Transportation Meshfree Approximation Schemes - Solid ...
Optimal-Transportation Meshfree Approximation Schemes - Solid ...
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OTM ─ Summary and outlook<br />
• Optimum-<strong>Transportation</strong>-<strong>Meshfree</strong> method:<br />
– OT is a useful tool for generating geometrically-<br />
geometrically<br />
exact discrete Lagrangians for flow problems<br />
– Max-ent approach supplies an efficient meshfree,<br />
continuously adaptive adaptive, remapping remapping-free, free FEcompatible,<br />
interpolation scheme<br />
– Material-point sampling effectively addresses the<br />
iissues of f numerical i l quadrature, d hi history variables i bl<br />
• Extensions include:<br />
– Contact (seizing contact for free!)<br />
– Fracture and fragmentation (provably convergent)<br />
• Outlook: Parallel implementation, p , UQ… Q<br />
Michael Ortiz<br />
UCLA 02/22/10
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