Comparison between Material Point Method and meshfree schemes derived from optimal transportation theory

Conference paper (2019)

Authors

Elizaveta Wobbes Numerical Analysis - EEMCS
R.P.W.M. Tielen Numerical Analysis - EEMCS
M. Möller Numerical Analysis - EEMCS
Cornelis Vuik Numerical Analysis - EEMCS
Vahid Galavi Deltares
Research Group
Numerical Analysis (EEMCS) (TU Delft)
Copyright: © 2019 Elizaveta Wobbes, R.P.W.M. Tielen, M. Möller, Cornelis Vuik, Vahid Galavi
Material Point Method Optimal Transportation Theory Meshfree Methods
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Published Date

2019

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Numerical Analysis

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.

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