Articles | Volume 13, issue 12
https://doi.org/10.5194/gmd-13-6265-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/gmd-13-6265-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Model description paper
| 
10 Dec 2020
Model description paper |
| 10 Dec 2020
| 10 Dec 2020
A fast and efficient MATLAB-based MPM solver: fMPMM-solver v1.1
Institute of Earth Sciences, University of Lausanne, 1015 Lausanne, Switzerland
Yury Alkhimenkov
Institute of Earth Sciences, University of Lausanne, 1015 Lausanne, Switzerland
Swiss Geocomputing Centre, University of Lausanne, 1015 Lausanne, Switzerland
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, 119899, Russia
Michel Jaboyedoff
Institute of Earth Sciences, University of Lausanne, 1015 Lausanne, Switzerland
Swiss Geocomputing Centre, University of Lausanne, 1015 Lausanne, Switzerland
Yury Y. Podladchikov
Institute of Earth Sciences, University of Lausanne, 1015 Lausanne, Switzerland
Swiss Geocomputing Centre, University of Lausanne, 1015 Lausanne, Switzerland
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, 119899, Russia
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Cited
18 citations as recorded by crossref.
- Efficient particle generation for depth-averaged and fully 3D MPM using TIFF image data M. Fois et al.
- Analytical and Numerical Solutions for Three-Dimensional Granular Collapses E. Wyser et al.
- Quantitative Risk Assessment of Static Slope Failure Using Random Fields and the Material Point Method J. Sadoghi Yazdi
- An explicit GPU-based material point method solver for elastoplastic problems (ep2-3De v1.0) E. Wyser et al.
- A high-performance backend-agnostic Material Point Method solver in Julia Z. Huo et al.
- A particle-based nodal integration formulation for the scaled boundary finite element method and its application to large deformations in geotechnical engineering W. Zhang et al.
- Energy conservation and accuracy of some MPM formulations M. Berzins
- A semi-conservative depth-averaged material point method for fast flow-like landslides and mudflows M. Fois et al.
- Stabilized HEPM for large-deformation hydro-mechanics in saturated porous media Y. Qiu et al.
- A coupled material point method radial basis functions for free-surface water waves by large deformations in bottom topography A. Al-Ghosoun & M. Seaid
- Fragmentation induced mobility and runout mechanism of large rock avalanche: A case study on the Tibetan Plateau, China X. Tang et al.
- A mortar segment-to-segment frictional contact approach in material point method W. Liang et al.
- A material point/finite volume method for coupled shallow water flows and large dynamic deformations in seabeds X. Zheng et al.
- Stabilized two-phase material point method for hydromechanical coupling problems in solid–fluid porous media X. Tang et al.
- Matter (v1): an open-source MPM solver for granular matter L. Blatny & J. Gaume
- An integrated multi-scale framework for slope safety assessment using statistical, physical, and reliability analyses: a case study of the Zhuoshui River Basin Y. Chen & K. Liao
- Explicit phase field generalized interpolation material point method for dynamic fracture problems C. Lv & X. Zhou
- GeoWarp: An automatically differentiable and GPU-accelerated implicit MPM framework for geomechanics based on NVIDIA Warp Y. Zhao et al.
18 citations as recorded by crossref.
- Efficient particle generation for depth-averaged and fully 3D MPM using TIFF image data M. Fois et al.
- Analytical and Numerical Solutions for Three-Dimensional Granular Collapses E. Wyser et al.
- Quantitative Risk Assessment of Static Slope Failure Using Random Fields and the Material Point Method J. Sadoghi Yazdi
- An explicit GPU-based material point method solver for elastoplastic problems (ep2-3De v1.0) E. Wyser et al.
- A high-performance backend-agnostic Material Point Method solver in Julia Z. Huo et al.
- A particle-based nodal integration formulation for the scaled boundary finite element method and its application to large deformations in geotechnical engineering W. Zhang et al.
- Energy conservation and accuracy of some MPM formulations M. Berzins
- A semi-conservative depth-averaged material point method for fast flow-like landslides and mudflows M. Fois et al.
- Stabilized HEPM for large-deformation hydro-mechanics in saturated porous media Y. Qiu et al.
- A coupled material point method radial basis functions for free-surface water waves by large deformations in bottom topography A. Al-Ghosoun & M. Seaid
- Fragmentation induced mobility and runout mechanism of large rock avalanche: A case study on the Tibetan Plateau, China X. Tang et al.
- A mortar segment-to-segment frictional contact approach in material point method W. Liang et al.
- A material point/finite volume method for coupled shallow water flows and large dynamic deformations in seabeds X. Zheng et al.
- Stabilized two-phase material point method for hydromechanical coupling problems in solid–fluid porous media X. Tang et al.
- Matter (v1): an open-source MPM solver for granular matter L. Blatny & J. Gaume
- An integrated multi-scale framework for slope safety assessment using statistical, physical, and reliability analyses: a case study of the Zhuoshui River Basin Y. Chen & K. Liao
- Explicit phase field generalized interpolation material point method for dynamic fracture problems C. Lv & X. Zhou
- GeoWarp: An automatically differentiable and GPU-accelerated implicit MPM framework for geomechanics based on NVIDIA Warp Y. Zhao et al.
Saved (final revised paper)
Latest update: 14 May 2026
Short summary
In this work, we present an efficient and fast material point method (MPM) implementation in MATLAB. We first discuss the vectorization strategies to adapt this numerical method to a MATLAB implementation. We report excellent agreement of the solver compared with classical analysis among the MPM community, such as the cantilever beam problem. The solver achieves a performance gain of 28 compared with a classical iterative implementation.
In this work, we present an efficient and fast material point method (MPM) implementation in...
