A Reduced Basis Method for a PDE-constrained optimization formulation in Discrete Fracture Network flow simulations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.08.006 ◽

2021 ◽

Vol 99 ◽

pp. 182-194

Author(s):

Stefano Berrone ◽

Fabio Vicini

Keyword(s):

Constrained Optimization ◽

Network Flow ◽

Fracture Network ◽

Discrete Fracture Network ◽

Reduced Basis ◽

Pde Constrained Optimization ◽

Flow Simulations ◽

Discrete Fracture ◽

Optimization Formulation ◽

Basis Method

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A PDE-Constrained Optimization Formulation for Discrete Fracture Network Flows

SIAM Journal on Scientific Computing ◽

10.1137/120865884 ◽

2013 ◽

Vol 35 (2) ◽

pp. B487-B510 ◽

Cited By ~ 49

Author(s):

Stefano Berrone ◽

Sandra Pieraccini ◽

Stefano Scialò

Keyword(s):

Constrained Optimization ◽

Network Flows ◽

Fracture Network ◽

Discrete Fracture Network ◽

Pde Constrained Optimization ◽

Discrete Fracture ◽

Optimization Formulation

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Correction to: Multilevel Graph Partitioning for Three-Dimensional Discrete Fracture Network Flow Simulations

Mathematical Geosciences ◽

10.1007/s11004-021-09960-y ◽

2021 ◽

Author(s):

Hayato Ushijima-Mwesigwa ◽

Jeffrey D. Hyman ◽

Aric Hagberg ◽

Ilya Safro ◽

Satish Karra ◽

...

Keyword(s):

Graph Partitioning ◽

Network Flow ◽

Three Dimensional ◽

Fracture Network ◽

Discrete Fracture Network ◽

Flow Simulations ◽

Discrete Fracture ◽

Multilevel Graph Partitioning

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Uncertainty quantification analysis in discrete fracture network flow simulations

GEM - International Journal on Geomathematics ◽

10.1007/s13137-020-0148-0 ◽

2020 ◽

Vol 11 (1) ◽

Author(s):

S. Pieraccini

Keyword(s):

Uncertainty Quantification ◽

Network Flow ◽

Fracture Network ◽

Discrete Fracture Network ◽

Flow Simulations ◽

Discrete Fracture ◽

Quantification Analysis

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Multilevel Graph Partitioning for Three-Dimensional Discrete Fracture Network Flow Simulations

Mathematical Geosciences ◽

10.1007/s11004-021-09944-y ◽

2021 ◽

Author(s):

Hayato Ushijima-Mwesigwa ◽

Jeffrey D. Hyman ◽

Aric Hagberg ◽

Ilya Safro ◽

Satish Karra ◽

...

Keyword(s):

Graph Partitioning ◽

Network Flow ◽

Three Dimensional ◽

Fracture Network ◽

Discrete Fracture Network ◽

Flow Simulations ◽

Discrete Fracture ◽

Multilevel Graph Partitioning

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IMPROVING FRACTURE NETWORK CHARACTERIZATION AND DISCRETE FRACTURE NETWORK FLOW SIMULATIONS USING UNMANNED AERIAL VEHICLES

10.1130/abs/2020am-355887 ◽

2020 ◽

Author(s):

Mahawa-essa Akara ◽

◽

Donald Reeves ◽

Rishi Parashar

Keyword(s):

Unmanned Aerial Vehicles ◽

Network Flow ◽

Fracture Network ◽

Discrete Fracture Network ◽

Flow Simulations ◽

Aerial Vehicles ◽

Discrete Fracture ◽

Network Characterization

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Reliable a posteriori mesh adaptivity in Discrete Fracture Network flow simulations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.06.007 ◽

2019 ◽

Vol 354 ◽

pp. 904-931 ◽

Cited By ~ 1

Author(s):

S. Berrone ◽

A. Borio ◽

F. Vicini

Keyword(s):

Network Flow ◽

Fracture Network ◽

Discrete Fracture Network ◽

Mesh Adaptivity ◽

A Posteriori ◽

Flow Simulations ◽

Discrete Fracture

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Modelling approaches for discrete fracture network flow analysis

Coupled Thermo-Hydro-Mechanical Processes of Fractured Media - Mathematical and Experimental Studies - Developments in Geotechnical Engineering ◽

10.1016/s0165-1250(96)80027-7 ◽

1996 ◽

pp. 213-229 ◽

Cited By ~ 6

Author(s):

A.W. Herbert

Keyword(s):

Network Flow ◽

Flow Analysis ◽

Fracture Network ◽

Discrete Fracture Network ◽

Discrete Fracture ◽

Modelling Approaches

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Unstructured Grid Generation in Porous Domains for Flow Simulations with Discrete-Fracture Network Model

Transport in Porous Media ◽

10.1007/s11242-015-0544-3 ◽

2015 ◽

Vol 109 (3) ◽

pp. 693-709 ◽

Cited By ~ 4

Author(s):

Seyed Saied Bahrainian ◽

Alireza Daneh Dezfuli ◽

Aminreza Noghrehabadi

Keyword(s):

Network Model ◽

Unstructured Grid ◽

Grid Generation ◽

Fracture Network ◽

Discrete Fracture Network ◽

Flow Simulations ◽

Discrete Fracture

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THE VIRTUAL ELEMENT METHOD FOR DISCRETE FRACTURE NETWORK FLOW AND TRANSPORT SIMULATIONS

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016) ◽

10.7712/100016.2008.6334 ◽

2016 ◽

Cited By ~ 1

Author(s):

Matias Fernando Benedetto ◽

Stefano Berrone ◽

Andrea Borio ◽

Sandra Pieraccini ◽

Stefano Scialo

Keyword(s):

Network Flow ◽

Fracture Network ◽

Discrete Fracture Network ◽

Virtual Element Method ◽

Flow And Transport ◽

Discrete Fracture ◽

Virtual Element ◽

Element Method

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Multiobjective PDE-constrained optimization using the reduced-basis method

Advances in Computational Mathematics ◽

10.1007/s10444-016-9512-x ◽

2017 ◽

Vol 43 (5) ◽

pp. 945-972 ◽

Cited By ~ 11

Author(s):

L. Iapichino ◽

S. Ulbrich ◽

S. Volkwein

Keyword(s):

Constrained Optimization ◽

Reduced Basis Method ◽

Reduced Basis ◽

Pde Constrained Optimization ◽

Basis Method

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