Abstract
Both the Material Point Method (MPM) and meshfree schemes based on optimal transport theory have been developed for efficient and robust integration of the weak form equations originating from computational mechanics. Although the methods are derived in a different fashion, their algorithms share many similarities. In this paper, we outline the close resemblance of MPM and Optimal Transportation Meshfree (OTM) schemes. Aside from a theoretical analysis, the methods are compared numerically using a one-dimensionalbenchmark.
Original language | English |
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Title of host publication | Proceedings of the Second International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction |
Subtitle of host publication | 8 – 10 January 2019, University of Cambridge, United Kingdom |
Pages | 173-178 |
Number of pages | 6 |
Publication status | Published - 2019 |
Event | MPM 2019: 2nd International Conference on the Material Point Method for Modelling Soil–Water–Structure Interaction - Cambridge, United Kingdom Duration: 8 Jan 2019 → 10 Jan 2019 Conference number: 2 http://mpm2019.eu/home |
Conference
Conference | MPM 2019: 2nd International Conference on the Material Point Method for Modelling Soil–Water–Structure Interaction |
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Abbreviated title | MPM 2019 |
Country/Territory | United Kingdom |
City | Cambridge |
Period | 8/01/19 → 10/01/19 |
Internet address |
Bibliographical note
greenKeywords
- Material Point Method
- Optimal Transportation Theory
- Meshfree Methods