{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T23:25:13Z","timestamp":1743031513197,"version":"3.40.3"},"publisher-location":"Cham","reference-count":28,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030558734"},{"type":"electronic","value":"9783030558741"}],"license":[{"start":{"date-parts":[[2020,8,22]],"date-time":"2020-08-22T00:00:00Z","timestamp":1598054400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,8,22]],"date-time":"2020-08-22T00:00:00Z","timestamp":1598054400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-55874-1_51","type":"book-chapter","created":{"date-parts":[[2021,5,3]],"date-time":"2021-05-03T11:52:51Z","timestamp":1620042771000},"page":"521-529","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A Hybrid High-Order Method for Flow Simulations in Discrete Fracture Networks"],"prefix":"10.1007","author":[{"given":"Florent","family":"H\u00e9din","sequence":"first","affiliation":[]},{"given":"G\u00e9raldine","family":"Pichot","sequence":"additional","affiliation":[]},{"given":"Alexandre","family":"Ern","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,8,22]]},"reference":[{"issue":"5","key":"51_CR1","doi-asserted-by":"publisher","first-page":"1667","DOI":"10.1137\/S1064827503429363","volume":"26","author":"V Martin","year":"2005","unstructured":"V. Martin, J. Jaffr\u00e9 & J. E. Roberts, Modeling fractures and barriers as interfaces for flow in porous media, SIAM Journal on Scientific Computing, 26 (5), pp. 1667\u20131691, 2005.","journal-title":"SIAM Journal on Scientific Computing"},{"issue":"4","key":"51_CR2","doi-asserted-by":"publisher","first-page":"2688","DOI":"10.1137\/080729244","volume":"31","author":"J Erhel","year":"2009","unstructured":"J. Erhel, J. de Dreuzy, and B. Poirriez. Flow simulation in three-dimensional discrete fracture networks. SIAM Journal on Scientific Computing, 31(4):2688\u20132705, 2009.","journal-title":"SIAM Journal on Scientific Computing"},{"doi-asserted-by":"crossref","unstructured":"P. Davy, R. Le Goc, C. Darcel, O. Bour, J.-R de Dreuzy & R. Munier, A likely universal model of fracture scaling and its consequence for crustal hydromechanics, Journal of Geophysical Research: Solid Earth, 115 (B10), 2010.","key":"51_CR3","DOI":"10.1029\/2009JB007043"},{"issue":"4","key":"51_CR4","doi-asserted-by":"publisher","first-page":"1393","DOI":"10.1002\/jgrb.50120","volume":"118","author":"P Davy","year":"2013","unstructured":"P. Davy, R. Le Goc & C. Darcel, A model of fracture nucleation, growth and arrest, and consequences for fracture density and scaling, Journal of Geophysical Research: Solid Earth, 118 (4), pp. 1393\u20131407, 2013.","journal-title":"Journal of Geophysical Research: Solid Earth"},{"key":"51_CR5","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1007\/s10596-005-0152-3","volume":"8","author":"J Mary\u0161ka","year":"2004","unstructured":"J. Mary\u0161ka, O. Sever\u00fdn & M. Vohral\u00edk, Numerical simulation of fracture flow with a mixed-hybrid FEM stochastic discrete fracture network model, Computational Geosciences, 8, pp. 217\u2013234, 2004.","journal-title":"Computational Geosciences"},{"doi-asserted-by":"crossref","unstructured":"A. Fumagalli, E. Keilegavlen, and S. Scial\u00f2. Conforming, non-conforming and non-matching discretization couplings in discrete fracture network simulations J. Comput. Phys., 376, pp. 694\u201371, 2019.","key":"51_CR6","DOI":"10.1016\/j.jcp.2018.09.048"},{"doi-asserted-by":"crossref","unstructured":"J.D Hyman, S. Karra, N. Makedonska, C.W. Gable, S.L Painter, H.S. Viswanathan. dfn-Works: A discrete fracture network framework for modeling subsurface flow and transport. Computers & Geosciences, 84, pp. 10\u201319, 2015.","key":"51_CR7","DOI":"10.1016\/j.cageo.2015.08.001"},{"doi-asserted-by":"crossref","unstructured":"S. Berrone, S. Scial\u00f2 and F. Vicini. Parallel Meshing, Discretization, and Computation of Flow in Massive Discrete Fracture Networks, SIAM Journal on Scientific Computing, 41:4, pp. C317-C338, 2019.","key":"51_CR8","DOI":"10.1137\/18M1228736"},{"doi-asserted-by":"crossref","unstructured":"P. L. George, H. Borouchaki, F. Alauzet, P. Laug, A. Loseille & L. Mar\u00e9chal, Maillage, mod\u00e9lisation g\u00e9om\u00e9trique et simulation num\u00e9rique 2 - M\u00e9triques, maillages et adaptation de maillages, ISTE Editions, 412 pages (2018) (English translation to appear).","key":"51_CR9","DOI":"10.51926\/ISTE.9781784052393"},{"unstructured":"P. Laug & H. Borouchaki, BLSURF \u2013 Mesh Generator for Composite Parametric Surfaces \u2013 User\u2019s Manual, Inria Technical Report, RT-0235, 1999.","key":"51_CR10"},{"unstructured":"P. Laug and G. Pichot. Mesh Generation and Flow Simulation in Large Tridimensional Fracture Networks. IMACS Series in Computational and Applied Mathematics vol 22, IMACS, Rome, IT, 2019 - ISSN 10-98-870X https:\/\/hal.inria.fr\/hal-02102811, 2019.","key":"51_CR11"},{"issue":"1\u20132","key":"51_CR12","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1002\/1097-0207(20000910\/20)49:1\/2<233::AID-NME931>3.0.CO;2-G","volume":"49","author":"H Borouchaki","year":"2000","unstructured":"H. Borouchaki, P. Laug, and P. L. George. Parametric surface meshing using a combined advancing-front generalized-delaunay approach. International Journal for Numerical Methods in Engineering, 49(1\u20132):233\u2013259, 2000.","journal-title":"International Journal for Numerical Methods in Engineering"},{"doi-asserted-by":"crossref","unstructured":"J.-R de Dreuzy, G. Pichot, B. Poirriez & J. Erhel, Synthetic benchmark for modeling flow in 3D fractured media, Computers & Geosciences, 50, pp. 59\u201371, 2013.","key":"51_CR13","DOI":"10.1016\/j.cageo.2012.07.025"},{"key":"51_CR14","first-page":"292","volume":"606","author":"PA Raviart","year":"1977","unstructured":"P.A. Raviart & J. Thomas, A mixed finite element method for 2nd order elliptic problems, Mathematical Aspects of the Finite Element Methods, Lectures Notes in Mathematics, Springer, Berlin, 606, pp. 292\u2013315, 1977.","journal-title":"Springer, Berlin"},{"key":"51_CR15","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1051\/m2an\/1985190100071","volume":"19","author":"D N Arnold","year":"1985","unstructured":"D. N. Arnold & F. Brezzi, Mixed and nonconforming finite element methods: postprocessing, and error estimates, ESAIM: M2AN, 19, pp. 7\u201332, 1985.","journal-title":"ESAIM: M2AN"},{"key":"51_CR16","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-3172-1","volume-title":"Mixed and Hybrid Finite Element Methods","author":"F Brezzi","year":"1991","unstructured":"F. Brezzi & M. Fortin, Mixed and Hybrid Finite Element Methods, Springer-Verlag, New York, 1991."},{"issue":"6","key":"51_CR17","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1016\/0309-1708(91)90020-O","volume":"14","author":"G Chavent","year":"1991","unstructured":"G. Chavent & J. E. Roberts, A unified physical presentation of mixed, mixed-hybrid finite elements and standard finite difference approximations for the determination of velocities in waterflow problems, Advances in Water Resources, 14 (6), pp. 329\u2013348, 1991.","journal-title":"Advances in Water Resources"},{"issue":"4","key":"51_CR18","doi-asserted-by":"publisher","first-page":"1295","DOI":"10.1137\/S0036142996308447","volume":"37","author":"T Arbogast","year":"2000","unstructured":"T. Arbogast, L. C. Cowsar, M. F. Wheeler & I. Yotov, Mixed finite element methods on nonmatching multiblock grids, SIAM J. Numer. Anal., 37 (4), pp. 1295\u20131315, 2000.","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"51_CR19","doi-asserted-by":"publisher","first-page":"B86","DOI":"10.1137\/100804383","volume":"34","author":"G Pichot","year":"2012","unstructured":"G. Pichot, J. Erhel, and J.-R. de Dreuzy. A generalized mixed hybrid mortar method for solving flow in stochastic discrete fracture networks. SIAM Journal on Scientific Computing, 34(1):B86\u2013B105, 2012.","journal-title":"SIAM Journal on Scientific Computing"},{"issue":"4","key":"51_CR20","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1515\/cmam-2014-0018","volume":"14","author":"DA Di Pietro","year":"2014","unstructured":"D.A. Di Pietro, A. Ern, and S. Lemaire. An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators. Computational Methods in Applied Mathematics, 14(4):461\u2013472, 2014.","journal-title":"Computational Methods in Applied Mathematics"},{"doi-asserted-by":"crossref","unstructured":"D.A Di Pietro and A. Ern. A hybrid high-order locking-free method for linear elasticity on general meshes. Comp. Meth. Appl. Mech. Eng., 283, 1\u201321, 2015.","key":"51_CR21","DOI":"10.1016\/j.cma.2014.09.009"},{"key":"51_CR22","doi-asserted-by":"publisher","first-page":"A1063","DOI":"10.1137\/17M1119500","volume":"40","author":"F Chave","year":"2018","unstructured":"F. Chave, D.A. Di Pietro, and L. Formaggia. A hybrid high-order method for Darcy flows in fractured porous media. SIAM J. Sci. Comput., 40, pp. A1063\u2013A1094, 2018.","journal-title":"SIAM J. Sci. Comput."},{"issue":"3","key":"51_CR23","doi-asserted-by":"publisher","first-page":"635","DOI":"10.1051\/m2an\/2015051","volume":"50","author":"B Cockburn","year":"2016","unstructured":"B. Cockburn, D.A. Di Pietro, and A. Ern. Bridging the hybrid high-order and hybridizable discontinuous galerkin methods. ESAIM: M2AN, 50(3):635\u2013650, 2016.","journal-title":"ESAIM: M2AN"},{"key":"51_CR24","doi-asserted-by":"publisher","first-page":"852","DOI":"10.1016\/j.cam.2017.09.017","volume":"344","author":"M Cicuttin","year":"2018","unstructured":"M. Cicuttin, D.A. Di Pietro, and A. Ern. Implementation of Discontinuous Skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. J. Comput. Appl. Math., 344, pp. 852\u2013874, 2018.","journal-title":"J. Comput. Appl. Math."},{"key":"51_CR25","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1016\/S0309-1708(96)00050-4","volume":"20","author":"P Renard","year":"1997","unstructured":"P. Renard & G. de Marsily, Calculating Equivalent Permeability, Advances in Water Resources, 20, pp. 253\u2013278, 1997.","journal-title":"Advances in Water Resources"},{"unstructured":"Ga\u00ebl Guennebaud and Beno\u00eet Jacob et al., Eigen v3, http:\/\/eigen.tuxfamily.org, 2010.","key":"51_CR26"},{"unstructured":"https:\/\/software.intel.com\/en-us\/mkl, 2019.","key":"51_CR27"},{"unstructured":"http:\/\/faculty.cse.tamu.edu\/davis\/suitesparse.html, 2019.","key":"51_CR28"}],"container-title":["Lecture Notes in Computational Science and Engineering","Numerical Mathematics and Advanced Applications ENUMATH 2019"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-55874-1_51","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,30]],"date-time":"2024-08-30T02:26:15Z","timestamp":1724984775000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-55874-1_51"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8,22]]},"ISBN":["9783030558734","9783030558741"],"references-count":28,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-55874-1_51","relation":{},"ISSN":["1439-7358","2197-7100"],"issn-type":[{"type":"print","value":"1439-7358"},{"type":"electronic","value":"2197-7100"}],"subject":[],"published":{"date-parts":[[2020,8,22]]},"assertion":[{"value":"22 August 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}