A Data Driven Journey 

We discuss the problem of data-driven methods compared to phenomenological or mechanistic models through a dozen of examples borrowed from the last 25 years of research in the Legato Team
Table of Contents:
02:01 - !!!
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38:55 - Astrocytes
39:17 - Astrocytes Energy Metabolism
39:19 - Astrocytes
39:26 - How important is astrocyte morphology?
40:43 -
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48:04 -
48:04 - Urban wind energy harvesting
48:54 -
49:01 - Motivation
49:07 - Machine Learning Idea
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59:26 -
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01:02:12 - Interfaces in practical engineering simulations
01:02:49 - Equilibrium of nano-inhomogeneities
01:03:32 - Keloids
01:04:04 - Keloids
01:04:05 - Keloids
01:04:07 - Interfaces between different PDEs
01:04:35 - Interfaces between different PDEs
01:04:53 -
01:05:00 -
01:05:13 - Cracks and cuts create interfaces
01:06:20 -
01:07:02 - Cracks and cuts create interfaces
01:07:06 - Mechanics of interfaces - or free boundary problems (Avner Friedman)
01:08:41 -
01:08:45 - Handling interfaces numerically
01:11:01 - Collocation and Finite Difference Methods
01:11:04 - History of generalised finite difference methods
01:12:25 - FD formulae for irregular meshes
01:13:09 - Why strong form methods?
01:14:45 - Main approaches
01:15:50 - Quality of RBF interpolation
01:17:13 - Quality of RBF interpolation
01:17:59 - Finite Difference Method
01:18:12 - Quality of RBF interpolation
01:18:25 - Finite Difference Method
01:19:17 - Finite Difference Method
01:19:49 - Finite Difference Method
01:19:50 - Quality of RBF interpolation
01:19:55 - Finite Difference Method
01:19:57 - Finite Difference Method
01:21:08 - Finite Difference Method
01:21:21 - GFD Method
01:21:30 - Finite Difference Method
01:21:31 - Finite Difference Method
01:21:36 - Finite Difference Method
01:21:38 - GFD Method
01:22:09 - Another Taylor based Method: DCPSE
01:23:02 - DCPSE
01:23:47 - Formulation
01:24:20 - Selection of the kernel
01:25:20 - Choice of the weight
01:25:34 - GFD Weight Functions
01:25:44 - Problems considered
01:26:37 -
01:26:43 - Problems considered
01:26:52 -
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01:28:10 -
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01:29:19 -
01:29:23 - Voronoi diagram GFD and DCPSE
01:30:31 -
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01:30:52 -
01:31:12 - Efficiency
01:32:24 - 3D Collocation Conclusions
01:33:00 - ISO Flange
01:33:17 - ISO Flange
01:33:56 - Blade subject to a constant pressure field
01:34:07 - What we’re working on…
01:34:10 - Define a domain
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01:36:46 -
01:37:04 - Marker
01:37:06 -
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01:38:16 -
01:38:32 -
01:38:53 - 3D Results
01:39:19 - 3D Results
01:39:29 - 3D Results
01:39:37 - 3D Results
01:39:41 - 3D Results
01:39:47 -
01:39:53 - Post-mortem biomechanics
01:39:56 -
01:40:00 - Post-mortem biomechanics
01:40:04 -
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01:42:25 -
01:42:33 - Marker
01:42:47 -
01:43:23 - Marker
01:44:10 -
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01:44:33 - Isogeometric collocation boundary elements
01:44:40 -
01:45:00 - Isogeometric collocation boundary elements
01:45:01 -
01:45:29 - Material Point Method
Theory and Applications
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