Abstract
The Material Point Method (MPM) has been applied successfully to problems in engineering which involve large deformations and history-dependent material behavior. However, the classical method suffers from some shortcomings which influence the quality of the numerical solution significantly. High-order B-spline basis functions solve the problem of so-called ‘grid crossing errors’ completely due to their higher continuity at inter-element boundaries. Adopting a consistent mass matrix instead of its lumped counterpart, which is common practice in standard MPM, further improves the convergence properties of the MPM. However, solving a linear system of equations resulting from a B-spline discretization is considered a challenging task. In this paper, we present a solution technique using p-multigrid methods to efficiently solve linear systems arising in B-spline MPM.
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 | 161-165 |
Number of pages | 5 |
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
- B-spline Material Point Method
- Iterative solvers
- p-Multigrid