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Optimal-Transportation Meshfree Approximation Schemes - Solid ...

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ocity L error norm<br />

2 vel e<br />

OTM ─ Shock tube problem<br />

convergence g<br />

rate ~ 1<br />

nsity L error normm<br />

1 den e<br />

convergence g<br />

rate ~ 1<br />

mesh size (h) mesh size (h)<br />

velocity convergence<br />

(L2 (L norm)<br />

density convergence<br />

(L1 (L norm)<br />

Shock tube problem – convergence plots<br />

Michael Ortiz<br />

UCLA 02/22/10

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