Activities per year

### Abstract

The paper presents an improved moving least squares reconstruction technique for the Material Point Method. The moving least squares reconstruction (MLS) can improve spatial accuracy in simulations involving large deformations. However, the MLS algorithm relies on computing the inverse of the moment matrix. This is both expensive and potentially unstable when there are not enough material points to reconstruct the high-order least squares function, which leads to a singular or an ill-conditioned matrix. The shown formulation can overcome this limitation while retain the same order of accuracy compared with the conventional moving least squares reconstruction. Numerical experiments demonstrate the improvements in the accuracy and comparison with the original Material Point Method and the Convected Particles Domain Interpolation method.

Original language | English |
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Title of host publication | Proceedings of the 2nd International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction (MPM 2019) |

Editors | Dongfang Liang, Krishna Kumar, Alexander Rohe |

Number of pages | 8 |

Publication status | Published - 10 Jan 2019 |

MoE publication type | A4 Article in a conference publication |

Event | International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction - University of Cambridge, Cambridge, United Kingdom Duration: 8 Jan 2019 → 10 Jan 2019 Conference number: 2 http://mpm2019.eu/home |

### Conference

Conference | International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction |
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Abbreviated title | MPM |

Country | United Kingdom |

City | Cambridge |

Period | 08/01/2019 → 10/01/2019 |

Internet address |

### Keywords

- Material Point Method
- Moving least square
- CPDI
- improved moving least squares

## Fingerprint Dive into the research topics of 'An improved moving least squares method for the Material Point Method'. Together they form a unique fingerprint.

## Activities

- 1 Conference presentation

## SECOND INTERNATIONAL CONFERENCE ON THE MATERIAL POINT METHOD FOR MODELLING SOIL–WATER–STRUCTURE INTERACTION

Quoc Anh Tran (Speaker)8 Jan 2019 → 10 Jan 2019

Activity: Talk or presentation types › Conference presentation

## Cite this

Tran, Q., Berzins, M., & Sołowski, W. T. (2019). An improved moving least squares method for the Material Point Method. In D. Liang, K. Kumar, & A. Rohe (Eds.),

*Proceedings of the 2nd International Conference on the Material Point Method for Modelling Soil-Water-Structure Interaction (MPM 2019)*[mpm2019.06]