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Computation and analysis of statistical solutions of fluid flow

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Statistical solutions of the incompressible Euler equations (opens in new window)

Author(s): S. Lanthaler, S. Mishra, C. Parés-Pulido
Published in: Mathematical Models and Methods in Applied Sciences, Issue 31/02, 2021, Page(s) 223-292, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218202521500068

Iterative surrogate model optimization (ISMO): An active learning algorithm for PDE constrained optimization with deep neural networks (opens in new window)

Author(s): Kjetil O. Lye, Siddhartha Mishra, Deep Ray, Praveen Chandrashekar
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 374, 2021, Page(s) 113575, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2020.113575

On the conservation of energy in two-dimensional incompressible flows (opens in new window)

Author(s): S Lanthaler, S Mishra, C Parés-Pulido
Published in: Nonlinearity, Issue 34/2, 2021, Page(s) 1084-1135, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/abb452

A machine learning framework for data driven acceleration of computations of di erential equations (opens in new window)

Author(s): Siddhartha Mishra
Published in: Mathematics in Engineering, Issue 1/1, 2018, Page(s) 118-146, ISSN 2640-3501
Publisher: AIMS press
DOI: 10.3934/mine.2018.1.118

Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation (opens in new window)

Author(s): U. S. Fjordholm, K. Lye, S. Mishra, F. Weber
Published in: Mathematical Models and Methods in Applied Sciences, Issue 30/03, 2020, Page(s) 539-609, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218202520500141

Deep learning observables in computational fluid dynamics (opens in new window)

Author(s): Kjetil O. Lye, Siddhartha Mishra, Deep Ray
Published in: Journal of Computational Physics, Issue 410, 2020, Page(s) 109339, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2020.109339

On the Convergence of the Spectral Viscosity Method for the Two-Dimensional Incompressible Euler Equations with Rough Initial Data (opens in new window)

Author(s): Samuel Lanthaler, Siddhartha Mishra
Published in: Foundations of Computational Mathematics, Issue 20/5, 2020, Page(s) 1309-1362, ISSN 1615-3375
Publisher: Springer Verlag
DOI: 10.1007/s10208-019-09440-0

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