A non-intrusive reduced basis method for elastoplasticity problems in geotechnics

A non-intrusive reduced basis method for elastoplasticity problems in geotechnics This work aims at investigating the use of reduced basis (RB) methods to diminish the cost of numerical simulation of elastoplasticity problems arising from geotechnics modeling, and involving parameter-dependent partial differential equations (PDEs). Computation times for large three-dimensional analysis commonly take tens of hours, making optimization procedures or sensitivity analysis, relying on repeated simulations, hardly feasible. In many cases the geotechnical analysis requires very specific features such as highly non-linear constitutive laws, making the necessary modification of the FE calculation code for a standard RB method impossible. An approach making it possible to use the reduced basis framework without having to modify the code gives the so-called non-intrusive reduced basis method a versatility of great practical interest. Our approach involves the computation of less expensive (but less accurate) FE approximation during the online stage and improvement of those solutions using a RB-based rectification method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Computational and Applied Mathematics Elsevier

A non-intrusive reduced basis method for elastoplasticity problems in geotechnics

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Publisher
Elsevier
Copyright
Copyright © 2018 Elsevier B.V.
ISSN
0377-0427
eISSN
1879-1778
D.O.I.
10.1016/j.cam.2017.12.044
Publisher site
See Article on Publisher Site

Abstract

This work aims at investigating the use of reduced basis (RB) methods to diminish the cost of numerical simulation of elastoplasticity problems arising from geotechnics modeling, and involving parameter-dependent partial differential equations (PDEs). Computation times for large three-dimensional analysis commonly take tens of hours, making optimization procedures or sensitivity analysis, relying on repeated simulations, hardly feasible. In many cases the geotechnical analysis requires very specific features such as highly non-linear constitutive laws, making the necessary modification of the FE calculation code for a standard RB method impossible. An approach making it possible to use the reduced basis framework without having to modify the code gives the so-called non-intrusive reduced basis method a versatility of great practical interest. Our approach involves the computation of less expensive (but less accurate) FE approximation during the online stage and improvement of those solutions using a RB-based rectification method.

Journal

Journal of Computational and Applied MathematicsElsevier

Published: Aug 1, 2018

References

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