Lee, Jeonghun J.; Bui-Thanh, Tan; Villa, Umberto; Ghattas, Omar Forward and inverse modeling of fault transmissibility in subsurface flows. (English) Zbl 1504.65258 Comput. Math. Appl. 128, 354-367 (2022). MSC: 65N30 65N12 65N15 65N21 76-10 PDF BibTeX XML Cite \textit{J. J. Lee} et al., Comput. Math. Appl. 128, 354--367 (2022; Zbl 1504.65258) Full Text: DOI OpenURL
Zhan, Wentao; Rao, Xiang; Zhao, Hui; Zhang, Hairong; Hu, Siwei; Dai, Weixin Generalized finite difference method (GFDM) based analysis for subsurface flow problems in anisotropic formation. (English) Zbl 07568116 Eng. Anal. Bound. Elem. 140, 48-58 (2022). MSC: 76-XX 86-XX PDF BibTeX XML Cite \textit{W. Zhan} et al., Eng. Anal. Bound. Elem. 140, 48--58 (2022; Zbl 07568116) Full Text: DOI OpenURL
Alduncin, Gonzalo Variational interior and interface transmission conditions: multidomain mixed Darcy/Stokes control problems. (English) Zbl 07545224 Optim. Eng. 23, No. 2, 797-826 (2022). MSC: 47H05 47J22 49M27 49M29 76D07 76S05 PDF BibTeX XML Cite \textit{G. Alduncin}, Optim. Eng. 23, No. 2, 797--826 (2022; Zbl 07545224) Full Text: DOI OpenURL
Razak, Syamil Mohd; Jiang, Anyue; Jafarpour, Behnam Latent-space inversion (LSI): a deep learning framework for inverse mapping of subsurface flow data. (English) Zbl 1484.86008 Comput. Geosci. 26, No. 1, 71-99 (2022). MSC: 86A05 86A32 86A22 68T07 PDF BibTeX XML Cite \textit{S. M. Razak} et al., Comput. Geosci. 26, No. 1, 71--99 (2022; Zbl 1484.86008) Full Text: DOI OpenURL
Razak, Syamil Mohd; Jafarpour, Behnam Conditioning generative adversarial networks on nonlinear data for subsurface flow model calibration and uncertainty quantification. (English) Zbl 1484.86019 Comput. Geosci. 26, No. 1, 29-52 (2022). MSC: 86A32 68T05 86A05 PDF BibTeX XML Cite \textit{S. M. Razak} and \textit{B. Jafarpour}, Comput. Geosci. 26, No. 1, 29--52 (2022; Zbl 1484.86019) Full Text: DOI OpenURL
Benedetto, M. F.; Borio, A.; Kyburg, F.; Mollica, J.; Scialò, S. An arbitrary order mixed virtual element formulation for coupled multi-dimensional flow problems. (English) Zbl 1507.76095 Comput. Methods Appl. Mech. Eng. 391, Article ID 114204, 27 p. (2022). MSC: 76M10 65M60 76S05 PDF BibTeX XML Cite \textit{M. F. Benedetto} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114204, 27 p. (2022; Zbl 1507.76095) Full Text: DOI arXiv OpenURL
Ushijima-Mwesigwa, Hayato; Hyman, Jeffrey D.; Hagberg, Aric; Safro, Ilya; Karra, Satish; Gable, Carl W.; Sweeney, Matthew R.; Srinivasan, Gowri Multilevel graph partitioning for three-dimensional discrete fracture network flow simulations. (English) Zbl 1477.86011 Math. Geosci. 53, No. 8, 1699-1724 (2021). MSC: 86A05 86-08 PDF BibTeX XML Cite \textit{H. Ushijima-Mwesigwa} et al., Math. Geosci. 53, No. 8, 1699--1724 (2021; Zbl 1477.86011) Full Text: DOI arXiv OpenURL
He, Zhengkang; Chung, Eric T.; Chen, Jie; Chen, Zhangxin Adaptive generalized multiscale approximation of a mixed finite element method with velocity elimination. (English) Zbl 1473.65300 Comput. Geosci. 25, No. 5, 1681-1708 (2021). MSC: 65N30 65N50 76S05 PDF BibTeX XML Cite \textit{Z. He} et al., Comput. Geosci. 25, No. 5, 1681--1708 (2021; Zbl 1473.65300) Full Text: DOI arXiv OpenURL
Su, Danyang; Mayer, K. Ulrich; MacQuarrie, Kerry T. B. MIN3P-HPC: a high-performance unstructured grid code for subsurface flow and reactive transport simulation. (English) Zbl 1465.86002 Math. Geosci. 53, No. 4, 517-550 (2021). MSC: 86-08 76S05 PDF BibTeX XML Cite \textit{D. Su} et al., Math. Geosci. 53, No. 4, 517--550 (2021; Zbl 1465.86002) Full Text: DOI OpenURL
Wang, Nanzhe; Chang, Haibin; Zhang, Dongxiao Efficient uncertainty quantification for dynamic subsurface flow with surrogate by theory-guided neural network. (English) Zbl 1506.76178 Comput. Methods Appl. Mech. Eng. 373, Article ID 113492, 27 p. (2021). MSC: 76S05 74F10 PDF BibTeX XML Cite \textit{N. Wang} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113492, 27 p. (2021; Zbl 1506.76178) Full Text: DOI arXiv OpenURL
Sunseri, Isaac; Hart, Joseph; van Bloemen Waanders, Bart; Alexanderian, Alen Hyper-differential sensitivity analysis for inverse problems constrained by partial differential equations. (English) Zbl 1453.35197 Inverse Probl. 36, No. 12, Article ID 125001, 23 p. (2020). MSC: 35R30 35Q35 PDF BibTeX XML Cite \textit{I. Sunseri} et al., Inverse Probl. 36, No. 12, Article ID 125001, 23 p. (2020; Zbl 1453.35197) Full Text: DOI arXiv OpenURL
Koval, Karina; Alexanderian, Alen; Stadler, Georg Optimal experimental design under irreducible uncertainty for linear inverse problems governed by PDEs. (English) Zbl 1443.62213 Inverse Probl. 36, No. 7, Article ID 075007, 23 p. (2020). MSC: 62K05 62F15 35R30 62P35 PDF BibTeX XML Cite \textit{K. Koval} et al., Inverse Probl. 36, No. 7, Article ID 075007, 23 p. (2020; Zbl 1443.62213) Full Text: DOI arXiv OpenURL
Sweeney, Matthew R.; Gable, Carl W.; Karra, Satish; Stauffer, Philip H.; Pawar, Rajesh J.; Hyman, Jeffrey D. Upscaled discrete fracture matrix model (UDFM): an octree-refined continuum representation of fractured porous media. (English) Zbl 1434.86007 Comput. Geosci. 24, No. 1, 293-310 (2020). MSC: 86-08 86A05 76M12 76S05 PDF BibTeX XML Cite \textit{M. R. Sweeney} et al., Comput. Geosci. 24, No. 1, 293--310 (2020; Zbl 1434.86007) Full Text: DOI OpenURL
Golmohammadi, Azarang; Jafarpour, Behnam Reducing uncertainty in conceptual prior models of complex geologic systems via integration of flow response data. (English) Zbl 1434.86033 Comput. Geosci. 24, No. 1, 161-180 (2020). MSC: 86A22 62M30 62M40 90C20 PDF BibTeX XML Cite \textit{A. Golmohammadi} and \textit{B. Jafarpour}, Comput. Geosci. 24, No. 1, 161--180 (2020; Zbl 1434.86033) Full Text: DOI OpenURL
Constantinescu, Emil M.; Petra, Noémi; Bessac, Julie; Petra, Cosmin G. Statistical treatment of inverse problems constrained by differential equations-based models with stochastic terms. (English) Zbl 1439.35466 SIAM/ASA J. Uncertain. Quantif. 8, 170-197 (2020). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 35Q62 62F15 35R30 35Q93 65K10 62H10 62M20 PDF BibTeX XML Cite \textit{E. M. Constantinescu} et al., SIAM/ASA J. Uncertain. Quantif. 8, 170--197 (2020; Zbl 1439.35466) Full Text: DOI arXiv OpenURL
Srinivasan, Shriram; Karra, Satish; Hyman, Jeffrey; Viswanathan, Hari; Srinivasan, Gowri Model reduction for fractured porous media: a machine learning approach for identifying main flow pathways. (English) Zbl 1419.76508 Comput. Geosci. 23, No. 3, 617-629 (2019). MSC: 76M25 76S05 68T05 PDF BibTeX XML Cite \textit{S. Srinivasan} et al., Comput. Geosci. 23, No. 3, 617--629 (2019; Zbl 1419.76508) Full Text: DOI Link OpenURL
Ku, Cheng-Yu; Xiao, Jing-En; Liu, Chih-Yu; Fan, Chia-Ming On modeling subsurface flow using a novel hybrid Trefftz-MFS method. (English) Zbl 1464.76173 Eng. Anal. Bound. Elem. 100, 225-236 (2019). MSC: 76M99 65N35 76S05 PDF BibTeX XML Cite \textit{C.-Y. Ku} et al., Eng. Anal. Bound. Elem. 100, 225--236 (2019; Zbl 1464.76173) Full Text: DOI OpenURL
Hyman, Jeffrey D.; Hagberg, Aric; Osthus, Dave; Srinivasan, Shriram; Viswanathan, Hari; Srinivasan, Gowri Identifying backbones in three-dimensional discrete fracture networks: a bipartite graph-based approach. (English) Zbl 1457.76165 Multiscale Model. Simul. 16, No. 4, 1948-1968 (2018). MSC: 76S05 76M99 05C90 86A05 PDF BibTeX XML Cite \textit{J. D. Hyman} et al., Multiscale Model. Simul. 16, No. 4, 1948--1968 (2018; Zbl 1457.76165) Full Text: DOI OpenURL
Burstedde, Carsten; Fonseca, Jose A.; Kollet, Stefan Enhancing speed and scalability of the ParFlow simulation code. (English) Zbl 1405.65116 Comput. Geosci. 22, No. 1, 347-361 (2018). MSC: 65M60 65M50 65Y05 65Y15 76S05 86A05 PDF BibTeX XML Cite \textit{C. Burstedde} et al., Comput. Geosci. 22, No. 1, 347--361 (2018; Zbl 1405.65116) Full Text: DOI arXiv Link OpenURL
Jan, Ahmad; Coon, Ethan T.; Painter, Scott L.; Garimella, Rao; Moulton, J. David An intermediate-scale model for thermal hydrology in low-relief permafrost-affected landscapes. (English) Zbl 1405.86011 Comput. Geosci. 22, No. 1, 163-177 (2018). MSC: 86A05 86-08 PDF BibTeX XML Cite \textit{A. Jan} et al., Comput. Geosci. 22, No. 1, 163--177 (2018; Zbl 1405.86011) Full Text: DOI Link OpenURL
Srinivasan, Shriram; Hyman, Jeffrey; Karra, Satish; O’Malley, Daniel; Viswanathan, Hari; Srinivasan, Gowri Robust system size reduction of discrete fracture networks: a multi-fidelity method that preserves transport characteristics. (English) Zbl 1404.86009 Comput. Geosci. 22, No. 6, 1515-1526 (2018). MSC: 86-08 86A32 90C35 PDF BibTeX XML Cite \textit{S. Srinivasan} et al., Comput. Geosci. 22, No. 6, 1515--1526 (2018; Zbl 1404.86009) Full Text: DOI Link OpenURL
Mudunuru, Maruti Kumar; Karra, Satish; Makedonska, Nataliia; Chen, Ting Sequential geophysical and flow inversion to characterize fracture networks in subsurface systems. (English) Zbl 07260719 Stat. Anal. Data Min. 10, No. 5, 326-342 (2017). MSC: 62-XX 68-XX PDF BibTeX XML Cite \textit{M. K. Mudunuru} et al., Stat. Anal. Data Min. 10, No. 5, 326--342 (2017; Zbl 07260719) Full Text: DOI arXiv OpenURL
Cortinovis, Davide; Jenny, Patrick Zonal multiscale finite-volume framework. (English) Zbl 1415.65244 J. Comput. Phys. 337, 84-97 (2017). MSC: 65N08 65N55 35J47 PDF BibTeX XML Cite \textit{D. Cortinovis} and \textit{P. Jenny}, J. Comput. Phys. 337, 84--97 (2017; Zbl 1415.65244) Full Text: DOI OpenURL
Jenny, Patrick; Meyer, Daniel W. Non-local generalization of Darcy’s law based on empirically extracted conductivity kernels. (English) Zbl 1401.76134 Comput. Geosci. 21, No. 5-6, 1281-1288 (2017). MSC: 76S05 PDF BibTeX XML Cite \textit{P. Jenny} and \textit{D. W. Meyer}, Comput. Geosci. 21, No. 5--6, 1281--1288 (2017; Zbl 1401.76134) Full Text: DOI OpenURL
Weill, Sylvain; Delay, Frederick; Pan, Yi; Ackerer, Philippe A low-dimensional subsurface model for saturated and unsaturated flow processes: ability to address heterogeneity. (English) Zbl 1387.76017 Comput. Geosci. 21, No. 2, 301-314 (2017). MSC: 76B45 76M25 PDF BibTeX XML Cite \textit{S. Weill} et al., Comput. Geosci. 21, No. 2, 301--314 (2017; Zbl 1387.76017) Full Text: DOI OpenURL
Sun, Wenyue; Durlofsky, Louis J. A new data-space inversion procedure for efficient uncertainty quantification in subsurface flow problems. (English) Zbl 1369.86022 Math. Geosci. 49, No. 6, 679-715 (2017). MSC: 86A32 PDF BibTeX XML Cite \textit{W. Sun} and \textit{L. J. Durlofsky}, Math. Geosci. 49, No. 6, 679--715 (2017; Zbl 1369.86022) Full Text: DOI OpenURL
la Cour Christensen, Max; Villa, Umberto; Engsig-Karup, Allan P.; Vassilevski, Panayot S. Numerical multilevel upscaling for incompressible flow in reservoir simulation: an element-based algebraic multigrid (amge) approach. (English) Zbl 1360.65247 SIAM J. Sci. Comput. 39, No. 1, B102-B137 (2017). MSC: 65M60 65M55 76S05 PDF BibTeX XML Cite \textit{M. la Cour Christensen} et al., SIAM J. Sci. Comput. 39, No. 1, B102--B137 (2017; Zbl 1360.65247) Full Text: DOI Link OpenURL
Liu, Yi A characterization of virtually embedded subsurfaces in 3-manifolds. (English) Zbl 1352.57001 Trans. Am. Math. Soc. 369, No. 2, 1237-1264 (2017); erratum ibid. 369, No. 2, 1513-1515 (2017). MSC: 57M05 PDF BibTeX XML Cite \textit{Y. Liu}, Trans. Am. Math. Soc. 369, No. 2, 1237--1264 (2017; Zbl 1352.57001) Full Text: DOI arXiv Link OpenURL
Pettersson, Per; Tchelepi, Hamdi A. Stochastic Galerkin framework with locally reduced bases for nonlinear two-phase transport in heterogeneous formations. (English) Zbl 1439.65129 Comput. Methods Appl. Mech. Eng. 310, 367-387 (2016). MSC: 65M75 35F31 60H35 65M60 65T60 PDF BibTeX XML Cite \textit{P. Pettersson} and \textit{H. A. Tchelepi}, Comput. Methods Appl. Mech. Eng. 310, 367--387 (2016; Zbl 1439.65129) Full Text: DOI arXiv OpenURL
Parno, Matthew; Moselhy, Tarek; Marzouk, Youssef A multiscale strategy for Bayesian inference using transport maps. (English) Zbl 1356.62038 SIAM/ASA J. Uncertain. Quantif. 4, 1160-1190 (2016). MSC: 62F15 65N21 86A22 62P35 PDF BibTeX XML Cite \textit{M. Parno} et al., SIAM/ASA J. Uncertain. Quantif. 4, 1160--1190 (2016; Zbl 1356.62038) Full Text: DOI arXiv OpenURL
Fohring, J.; Haber, E. Adaptive A-optimal experimental design for linear dynamical systems. (English) Zbl 1352.62125 SIAM/ASA J. Uncertain. Quantif. 4, 1138-1159 (2016). MSC: 62K05 62P12 35R30 35Q86 86A05 86A15 35Q93 PDF BibTeX XML Cite \textit{J. Fohring} and \textit{E. Haber}, SIAM/ASA J. Uncertain. Quantif. 4, 1138--1159 (2016; Zbl 1352.62125) Full Text: DOI OpenURL
Tarrahi, Mohammadali; Elahi, Siavash Hakim; Jafarpour, Behnam Fast linearized forecasts for subsurface flow data assimilation with ensemble Kalman filter. (English) Zbl 1349.86050 Comput. Geosci. 20, No. 5, 929-952 (2016). MSC: 86A20 93E11 PDF BibTeX XML Cite \textit{M. Tarrahi} et al., Comput. Geosci. 20, No. 5, 929--952 (2016; Zbl 1349.86050) Full Text: DOI OpenURL
Franzelin, Fabian; Pflüger, Dirk From data to uncertainty: an efficient integrated data-driven sparse grid approach to propagate uncertainty. (English) Zbl 1339.65018 Garcke, Jochen (ed.) et al., Sparse grids and applications – Stuttgart 2014. Collected contributions of the 3rd workshop, SGA 2014, Stuttgart, Germany, September 1–5, 2014. Cham: Springer (ISBN 978-3-319-28260-2/hbk; 978-3-319-28262-6/ebook). Lecture Notes in Computational Science and Engineering 109, 29-49 (2016). MSC: 65C50 60H05 PDF BibTeX XML Cite \textit{F. Franzelin} and \textit{D. Pflüger}, Lect. Notes Comput. Sci. Eng. 109, 29--49 (2016; Zbl 1339.65018) Full Text: DOI OpenURL
Makedonska, Nataliia; Painter, Scott L.; Bui, Quan M.; Gable, Carl W.; Karra, Satish Particle tracking approach for transport in three-dimensional discrete fracture networks. Particle tracking in 3-D DFNs. (English) Zbl 1391.76735 Comput. Geosci. 19, No. 5, 1123-1137 (2015). MSC: 76S05 86-08 86A05 74R10 PDF BibTeX XML Cite \textit{N. Makedonska} et al., Comput. Geosci. 19, No. 5, 1123--1137 (2015; Zbl 1391.76735) Full Text: DOI OpenURL
He, Jiajun; Durlofsky, L. J. Constraint reduction procedures for reduced-order subsurface flow models based on POD-TPWL. (English) Zbl 1352.76112 Int. J. Numer. Methods Eng. 103, No. 1, 1-30 (2015). MSC: 76S05 PDF BibTeX XML Cite \textit{J. He} and \textit{L. J. Durlofsky}, Int. J. Numer. Methods Eng. 103, No. 1, 1--30 (2015; Zbl 1352.76112) Full Text: DOI OpenURL
Šístek, Jakub; Březina, Jan; Sousedík, Bedřich BDDC for mixed-hybrid formulation of flow in porous media with combined mesh dimensions. (English) Zbl 1389.76057 Numer. Linear Algebra Appl. 22, No. 6, 903-929 (2015). MSC: 76S05 76M10 65N55 65F08 65N22 65N30 PDF BibTeX XML Cite \textit{J. Šístek} et al., Numer. Linear Algebra Appl. 22, No. 6, 903--929 (2015; Zbl 1389.76057) Full Text: DOI arXiv OpenURL
Leventhal, Brian; Fu, Xiaojing; Fowler, Kathleen; Eslinger, Owen Parameter identification and sensitivity analysis to a thermal diffusivity inverse problem. (English) Zbl 1432.35257 Involve 8, No. 3, 385-400 (2015). MSC: 35R30 35K10 35Q93 49N45 62J10 PDF BibTeX XML Cite \textit{B. Leventhal} et al., Involve 8, No. 3, 385--400 (2015; Zbl 1432.35257) Full Text: DOI OpenURL
Iranshahr, Alireza; Chen, Yuguang; Voskov, Denis V. A coarse-scale compositional model. (English) Zbl 1392.86011 Comput. Geosci. 18, No. 5, 797-815 (2014). MSC: 86-08 76S05 74A15 PDF BibTeX XML Cite \textit{A. Iranshahr} et al., Comput. Geosci. 18, No. 5, 797--815 (2014; Zbl 1392.86011) Full Text: DOI OpenURL
Cortinovis, Davide; Jenny, Patrick Iterative Galerkin-enriched multiscale finite-volume method. (English) Zbl 1349.65576 J. Comput. Phys. 277, 248-267 (2014). MSC: 65N08 PDF BibTeX XML Cite \textit{D. Cortinovis} and \textit{P. Jenny}, J. Comput. Phys. 277, 248--267 (2014; Zbl 1349.65576) Full Text: DOI OpenURL
Elsheikh, Ahmed H.; Wheeler, Mary F.; Hoteit, Ibrahim Hybrid nested sampling algorithm for Bayesian model selection applied to inverse subsurface flow problems. (English) Zbl 1349.76815 J. Comput. Phys. 258, 319-337 (2014). MSC: 76S05 76M50 65C05 60G15 62F15 PDF BibTeX XML Cite \textit{A. H. Elsheikh} et al., J. Comput. Phys. 258, 319--337 (2014; Zbl 1349.76815) Full Text: DOI OpenURL
Fohring, J.; Haber, E.; Ruthotto, L. Geophysical imaging of fluid flow in porous media. (English) Zbl 1305.86009 SIAM J. Sci. Comput. 36, No. 5, S218-S236 (2014). MSC: 86A22 86A05 65M32 47A52 47J05 PDF BibTeX XML Cite \textit{J. Fohring} et al., SIAM J. Sci. Comput. 36, No. 5, S218--S236 (2014; Zbl 1305.86009) Full Text: DOI OpenURL
Iglesias, Marco A.; Lin, Kui; Stuart, Andrew M. Well-posed Bayesian geometric inverse problems arising in subsurface flow. (English) Zbl 1304.35767 Inverse Probl. 30, No. 11, Article ID 114001, 39 p. (2014). MSC: 35R30 62C10 65C05 65N21 82B80 PDF BibTeX XML Cite \textit{M. A. Iglesias} et al., Inverse Probl. 30, No. 11, Article ID 114001, 39 p. (2014; Zbl 1304.35767) Full Text: DOI arXiv Link OpenURL
Elsheikh, Ahmed H.; Wheeler, Mary F.; Hoteit, Ibrahim An iterative stochastic ensemble method for parameter estimation of subsurface flow models. (English) Zbl 1426.76631 J. Comput. Phys. 242, 696-714 (2013). MSC: 76M35 86A05 PDF BibTeX XML Cite \textit{A. H. Elsheikh} et al., J. Comput. Phys. 242, 696--714 (2013; Zbl 1426.76631) Full Text: DOI OpenURL
Elsheikh, Ahmed H.; Tavakoli, Reza; Wheeler, Mary F.; Hoteit, Ibrahim Boosting iterative stochastic ensemble method for nonlinear calibration of subsurface flow models. (English) Zbl 1286.62079 Comput. Methods Appl. Mech. Eng. 259, 10-23 (2013). MSC: 62M20 62F15 65C20 86A04 PDF BibTeX XML Cite \textit{A. H. Elsheikh} et al., Comput. Methods Appl. Mech. Eng. 259, 10--23 (2013; Zbl 1286.62079) Full Text: DOI OpenURL
Faroughi, Salah Aldin; Faroughi, Semko; McAdams, Julian A prompt sequential method for subsurface flow modeling using the modified multi-scale finite volume and streamline methods. (English) Zbl 1291.76216 Int. J. Numer. Anal. Model., Ser. B 4, No. 2, 129-150 (2013). MSC: 76M12 35Q35 PDF BibTeX XML Cite \textit{S. A. Faroughi} et al., Int. J. Numer. Anal. Model., Ser. B 4, No. 2, 129--150 (2013; Zbl 1291.76216) OpenURL
Kalchev, D.; Ketelsen, C.; Vassilevski, P. S. Two-level adaptive algebraic multigrid for a sequence of problems with slowly varying random coefficients. (English) Zbl 1285.65083 SIAM J. Sci. Comput. 35, No. 6, B1215-B1234 (2013). MSC: 65N55 35J25 65N30 65F10 65C05 65C40 65C30 35R60 PDF BibTeX XML Cite \textit{D. Kalchev} et al., SIAM J. Sci. Comput. 35, No. 6, B1215--B1234 (2013; Zbl 1285.65083) Full Text: DOI Link OpenURL
Wang, Hong; Zhao, Weidong; Espedal, Magne S.; Telyakovskiy, Aleksey S. A component-based Eulerian-Lagrangian formulation for multicomponent multiphase compositional flow and transport in porous media. (English) Zbl 1266.65159 SIAM J. Sci. Comput. 35, No. 2, B462-B486 (2013). MSC: 65M25 65M60 65Z05 76M10 76M25 80A10 80A30 PDF BibTeX XML Cite \textit{H. Wang} et al., SIAM J. Sci. Comput. 35, No. 2, B462--B486 (2013; Zbl 1266.65159) Full Text: DOI OpenURL
Steenhauer, K.; Pokrajac, D.; O’Donoghue, T. Implementation of ADER scheme for a bore on an unsaturated permeable slope. (English) Zbl 1412.76076 Int. J. Numer. Methods Fluids 70, No. 6, 682-702 (2012). MSC: 76M20 65M06 76S05 PDF BibTeX XML Cite \textit{K. Steenhauer} et al., Int. J. Numer. Methods Fluids 70, No. 6, 682--702 (2012; Zbl 1412.76076) Full Text: DOI OpenURL
He, J.; Sætrom, J.; Durlofsky, L. J. Enhanced linearized reduced-order models for subsurface flow simulation. (English) Zbl 1337.76064 J. Comput. Phys. 230, No. 23, 8313-8341 (2011). MSC: 76S05 76M25 76T99 PDF BibTeX XML Cite \textit{J. He} et al., J. Comput. Phys. 230, No. 23, 8313--8341 (2011; Zbl 1337.76064) Full Text: DOI OpenURL
Jansen, J. D. Adjoint-based optimization of multi-phase flow through porous media – a review. (English) Zbl 1305.76107 Comput. Fluids 46, No. 1, 40-51 (2011). MSC: 76S05 76T30 PDF BibTeX XML Cite \textit{J. D. Jansen}, Comput. Fluids 46, No. 1, 40--51 (2011; Zbl 1305.76107) Full Text: DOI OpenURL
Onwunalu, Jérôme E.; Durlofsky, Louis J. Application of a particle swarm optimization algorithm for determining optimum well location and type. (English) Zbl 1185.86024 Comput. Geosci. 14, No. 1, 183-198 (2010). MSC: 86A20 90C59 PDF BibTeX XML Cite \textit{J. E. Onwunalu} and \textit{L. J. Durlofsky}, Comput. Geosci. 14, No. 1, 183--198 (2010; Zbl 1185.86024) Full Text: DOI OpenURL
Chen, Tianhong; Gerritsen, Margot G.; Lambers, James V.; Durlofsky, Louis J. Global variable compact multipoint methods for accurate upscaling with full-tensor effects. (English) Zbl 1398.76169 Comput. Geosci. 14, No. 1, 65-81 (2010). MSC: 76M25 PDF BibTeX XML Cite \textit{T. Chen} et al., Comput. Geosci. 14, No. 1, 65--81 (2010; Zbl 1398.76169) Full Text: DOI OpenURL
Cardoso, M. A.; Durlofsky, L. J. Linearized reduced-order models for subsurface flow simulation. (English) Zbl 1253.76122 J. Comput. Phys. 229, No. 3, 681-700 (2010). MSC: 76S05 65M08 76T99 PDF BibTeX XML Cite \textit{M. A. Cardoso} and \textit{L. J. Durlofsky}, J. Comput. Phys. 229, No. 3, 681--700 (2010; Zbl 1253.76122) Full Text: DOI OpenURL
Chidyagwai, Prince; Rivière, Béatrice On the solution of the coupled Navier-Stokes and Darcy equations. (English) Zbl 1230.76023 Comput. Methods Appl. Mech. Eng. 198, No. 47-48, 3806-3820 (2009). MSC: 76M10 76D05 76S05 76M30 PDF BibTeX XML Cite \textit{P. Chidyagwai} and \textit{B. Rivière}, Comput. Methods Appl. Mech. Eng. 198, No. 47--48, 3806--3820 (2009; Zbl 1230.76023) Full Text: DOI OpenURL
Girault, Vivette; Rivière, Béatrice DG approximation of coupled Navier-Stokes and Darcy equations by Beaver-Joseph-Saffman interface condition. (English) Zbl 1406.76082 SIAM J. Numer. Anal. 47, No. 3, 2052-2089 (2009). MSC: 76S05 65N30 PDF BibTeX XML Cite \textit{V. Girault} and \textit{B. Rivière}, SIAM J. Numer. Anal. 47, No. 3, 2052--2089 (2009; Zbl 1406.76082) Full Text: DOI OpenURL
Chen, Yuguang; Li, Yan Local-global two-phase upscaling of flow and transport in heterogeneous formations. (English) Zbl 1404.76252 Multiscale Model. Simul. 8, No. 1, 125-153 (2009). MSC: 76S05 76M50 76T10 65N06 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{Y. Li}, Multiscale Model. Simul. 8, No. 1, 125--153 (2009; Zbl 1404.76252) Full Text: DOI OpenURL
Lambers, James V.; Gerritsen, Margot G.; Mallison, Bradley T. Accurate local upscaling with variable compact multipoint transmissibility calculations. (English) Zbl 1259.76048 Comput. Geosci. 12, No. 3, 399-416 (2008). MSC: 76M25 76S05 PDF BibTeX XML Cite \textit{J. V. Lambers} et al., Comput. Geosci. 12, No. 3, 399--416 (2008; Zbl 1259.76048) Full Text: DOI OpenURL
Chen, Yuguang; Mallison, Bradley T.; Durlofsky, Louis J. Nonlinear two-point flux approximation for modeling full-tensor effects in subsurface flow simulations. (English) Zbl 1259.76041 Comput. Geosci. 12, No. 3, 317-335 (2008). MSC: 76M25 76S05 PDF BibTeX XML Cite \textit{Y. Chen} et al., Comput. Geosci. 12, No. 3, 317--335 (2008; Zbl 1259.76041) Full Text: DOI OpenURL
Gerritsen, M.; Lambers, J. V. Integration of local-global upscaling and grid adaptivity for simulation of subsurface flow in heterogeneous formations. (English) Zbl 1159.76362 Comput. Geosci. 12, No. 2, 193-208 (2008). MSC: 76M25 PDF BibTeX XML Cite \textit{M. Gerritsen} and \textit{J. V. Lambers}, Comput. Geosci. 12, No. 2, 193--208 (2008; Zbl 1159.76362) Full Text: DOI OpenURL
Chen, Yuguang; Wu, Xiao-Hui Upscaled modeling of well singularity for simulating flow in heterogeneous formations. (English) Zbl 1153.76422 Comput. Geosci. 12, No. 1, 29-45 (2008). MSC: 76S05 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{X.-H. Wu}, Comput. Geosci. 12, No. 1, 29--45 (2008; Zbl 1153.76422) Full Text: DOI OpenURL
Holm, Randi; Kaufmann, Roland; Heimsund, Bjørn-Ove; Øian, Erlend; Espedal, Magne S. Meshing of domains with complex internal geometries. (English) Zbl 1174.76363 Numer. Linear Algebra Appl. 13, No. 9, 717-731 (2006). MSC: 76S05 65M50 PDF BibTeX XML Cite \textit{R. Holm} et al., Numer. Linear Algebra Appl. 13, No. 9, 717--731 (2006; Zbl 1174.76363) Full Text: DOI Link OpenURL
Pal, Mayur; Edwards, Michael G.; Lamb, Anthony R. Convergence study of a family of flux-continuous, finite volume schemes for the general tensor pressure equation. (English) Zbl 1108.76046 Int. J. Numer. Methods Fluids 51, No. 9-10, 1177 - 1203 (2006). MSC: 76M12 76S05 65N12 PDF BibTeX XML Cite \textit{M. Pal} et al., Int. J. Numer. Methods Fluids 51, No. 9--10, 1177--1203 (2006; Zbl 1108.76046) Full Text: DOI OpenURL
Caicedo-Carvajal, Carlos E.; Glasser, Benjamin J.; Shinbrot, Troy Granular flow transitions on sinusoidal surfaces. (English) Zbl 1094.76058 J. Fluid Mech. 556, 253-269 (2006). MSC: 76T25 76E99 PDF BibTeX XML Cite \textit{C. E. Caicedo-Carvajal} et al., J. Fluid Mech. 556, 253--269 (2006; Zbl 1094.76058) Full Text: DOI OpenURL
Rivière, Béatrice Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems. (English) Zbl 1065.76143 J. Sci. Comput. 22-23, 479-500 (2005). MSC: 76M10 76D07 76S05 65N15 65N30 PDF BibTeX XML Cite \textit{B. Rivière}, J. Sci. Comput. 22--23, 479--500 (2005; Zbl 1065.76143) Full Text: DOI OpenURL
Jenny, P.; Lee, S. H.; Tchelepi, H. A. Adaptive multiscale finite-volume method for multiphase flow and transport in porous media. (English) Zbl 1160.76372 Multiscale Model. Simul. 3, No. 1, 50-64 (2004). MSC: 76M12 76S05 76T99 PDF BibTeX XML Cite \textit{P. Jenny} et al., Multiscale Model. Simul. 3, No. 1, 50--64 (2004; Zbl 1160.76372) Full Text: DOI OpenURL
Rivière, B.; Wheeler, M. F. A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems. (English) Zbl 1059.65098 Comput. Math. Appl. 46, No. 1, 141-163 (2003). Reviewer: Fumio Kikuchi (Tokyo) MSC: 65N15 65N30 65N50 35J25 35R05 76M10 76B07 65N12 PDF BibTeX XML Cite \textit{B. Rivière} and \textit{M. F. Wheeler}, Comput. Math. Appl. 46, No. 1, 141--163 (2003; Zbl 1059.65098) Full Text: DOI OpenURL
Mazzia, Annamaria; Pini, Giorgio; Putti, Mario; Sartoretto, Flavio Comparison of 3D flow fields arising in mixed and standard unstructured finite elements. (English) Zbl 1113.76403 Sloot, Peter M.A. (ed.) et al., Computational science – ICCS 2003. International conference, Melbourne, Australia and St. Petersburg, Russia, June 2–4, 2003. Proceedings, Part I. Berlin: Springer (ISBN 3-540-40194-6/pbk). Lect. Notes Comput. Sci. 2657, 560-567 (2003). MSC: 76M10 PDF BibTeX XML Cite \textit{A. Mazzia} et al., Lect. Notes Comput. Sci. 2657, 560--567 (2003; Zbl 1113.76403) Full Text: Link OpenURL
Jenny, P.; Lee, S. H.; Tchelepi, H. A. Multi-scale finite-volume method for elliptic problems in subsurface flow simulation. (English) Zbl 1047.76538 J. Comput. Phys. 187, No. 1, 47-67 (2003). MSC: 76M12 76S05 86A05 PDF BibTeX XML Cite \textit{P. Jenny} et al., J. Comput. Phys. 187, No. 1, 47--67 (2003; Zbl 1047.76538) Full Text: DOI OpenURL
Mei, C. C.; Cheng, Z.; Ng, C.-O. A model for flow induced by steady air venting and air sparging. (English) Zbl 1117.76311 Appl. Math. Modelling 26, No. 7, 727-750 (2002). MSC: 76T10 86A05 PDF BibTeX XML Cite \textit{C. C. Mei} et al., Appl. Math. Modelling 26, No. 7, 727--750 (2002; Zbl 1117.76311) Full Text: DOI OpenURL
Logan, J. David Transport modeling in hydrogeochemical systems. (English) Zbl 0982.86001 Interdisciplinary Applied Mathematics. 15. New York, NY: Springer. xiv, 223 p. (2001). Reviewer: Claudia-Veronika Meister (Potsdam) MSC: 86-01 76S05 86A04 86A05 35Q80 35R30 35K57 PDF BibTeX XML Cite \textit{J. D. Logan}, Transport modeling in hydrogeochemical systems. New York, NY: Springer (2001; Zbl 0982.86001) OpenURL
Russell, Thomas F. Relationships among some conservative discretization methods. (English) Zbl 1010.76064 Chen, Zhangxin (ed.) et al., Numerical treatment of multiphase flows in porous media. Proceedings of the international workshop, Beijing, China, August 2-6, 1999. Berlin: Springer. Lect. Notes Phys. 552, 267-282 (2000). MSC: 76M12 76S05 86A05 PDF BibTeX XML Cite \textit{T. F. Russell}, Lect. Notes Phys. 552, 267--282 (2000; Zbl 1010.76064) OpenURL
Rivière, Béatrice; Wheeler, Mary F. Locally conservative algorithms for flow. (English) Zbl 0990.76045 Whiteman, J. R. (ed.), The mathematics of finite elements and applications X, MAFELAP 1999. Proceedings of the 10th conference, Brunel Univ., Uxbridge, Middlesex, GB, June 22-25, 1999. Amsterdam: Elsevier. 29-46 (2000). MSC: 76M10 76S05 86A05 PDF BibTeX XML Cite \textit{B. Rivière} and \textit{M. F. Wheeler}, in: The mathematics of finite elements and applications X, MAFELAP 1999. Proceedings of the 10th conference, Brunel Univ., Uxbridge, Middlesex, GB, June 22--25, 1999. Amsterdam: Elsevier. 29--46 (2000; Zbl 0990.76045) OpenURL
Èmikh, V. N. Seepage flow from subsurface sources. (English. Russian original) Zbl 1073.76644 Fluid Dyn. 34, No. 2, 218-228 (1999); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 1999, No. 2, 72-85 (1999). MSC: 76S05 76M40 86A05 PDF BibTeX XML Cite \textit{V. N. Èmikh}, Fluid Dyn. 34, No. 2, 218--228 (1999; Zbl 1073.76644); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 1999, No. 2, 72--85 (1999) OpenURL
Emikh, V. N. Intercepting drainage in flow from a subsurface source. (English. Russian original) Zbl 1004.76083 Fluid Dyn. 34, No. 3, 363-369 (1999); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 1999, No. 3, 77-84 (1999). MSC: 76S05 76M40 86A05 PDF BibTeX XML Cite \textit{V. N. Emikh}, Fluid Dyn. 34, No. 3, 363--369 (1999; Zbl 1004.76083); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 1999, No. 3, 77--84 (1999) OpenURL
Wheeler, Mary F.; Dawson, Clint; Eaton, Joe Transport of multispecies contaminants with biological and chemical kinetics in porous media. (English) Zbl 0939.76098 Jerome, Joseph W. (ed.), Modelling and computation for application in mathematics, science, and engineering. Workshop, Northwestern Univ., Evanston, IL, USA, May 3-4, 1996. Oxford: Clarendon Press. Numerical Mathematics and Scientific Computation. 25-37 (1998). MSC: 76T30 76S05 76R50 76V05 86A05 80A20 PDF BibTeX XML Cite \textit{M. F. Wheeler} et al., in: Modelling and computation for application in mathematics, science, and engineering. Workshop, Northwestern Univ., Evanston, IL, USA, May 3--4, 1996. Oxford: Clarendon Press. 25--37 (1998; Zbl 0939.76098) OpenURL
Brieger, Leesa; Lecca, Giuditta Parallel multigrid preconditioning of the conjugate gradient method for systems of subsurface hydrology. (English) Zbl 0926.65040 J. Comput. Phys. 142, No. 1, 148-162 (1998). Reviewer: I.N.Katz (St.Louis) MSC: 65F10 65F35 65Y05 76M10 76S05 65N55 PDF BibTeX XML Cite \textit{L. Brieger} and \textit{G. Lecca}, J. Comput. Phys. 142, No. 1, 148--162 (1998; Zbl 0926.65040) Full Text: DOI OpenURL
Jensen, O. E. The stress singularity in surfactant-driven thin-film flows. II: Inertial effects. (English) Zbl 0955.76010 J. Fluid Mech. 372, 301-322 (1998). Reviewer: A.R.Rao (Bangalore) MSC: 76A20 76D08 76M45 PDF BibTeX XML Cite \textit{O. E. Jensen}, J. Fluid Mech. 372, 301--322 (1998; Zbl 0955.76010) Full Text: DOI OpenURL
Cheng, Hwai-Ping; Yeh, Gour-Tsyh; Xu, Jinchao; Li, Ming-Hsu; Carsel, Robert A study of incorporating the multigrid method into the three-dimensional finite element discretization: A modular setting and application. (English) Zbl 0912.76026 Int. J. Numer. Methods Eng. 41, No. 3, 499-526 (1998). MSC: 76M10 76S05 65M55 65N55 86A05 PDF BibTeX XML Cite \textit{H.-P. Cheng} et al., Int. J. Numer. Methods Eng. 41, No. 3, 499--526 (1998; Zbl 0912.76026) Full Text: DOI OpenURL
Forsyth, P. A. Three-dimensional modelling of steam flush for DNAPL site remediation. (English) Zbl 0831.76042 Int. J. Numer. Methods Fluids 19, No. 12, 1055-1081 (1994). MSC: 76M10 76T99 86A05 PDF BibTeX XML Cite \textit{P. A. Forsyth}, Int. J. Numer. Methods Fluids 19, No. 12, 1055--1081 (1994; Zbl 0831.76042) Full Text: DOI OpenURL
Rabbani, M. Ghulam Direct-formulation finite element (DFFE) method for groundwater flow modeling: Two-dimensional case. (English) Zbl 0808.76050 SIAM J. Appl. Math. 54, No. 3, 674-687 (1994). MSC: 76M10 86A05 PDF BibTeX XML Cite \textit{M. G. Rabbani}, SIAM J. Appl. Math. 54, No. 3, 674--687 (1994; Zbl 0808.76050) Full Text: DOI OpenURL
Gambolati, Giuseppe; Pini, Giorgio; Tucciarelli, Tullio A 3-D finite element conjugate gradient model of subsurface flow with automatic mesh generation. (English) Zbl 0619.76112 Adv. Water Resources 9, 34-41 (1986). MSC: 76S05 65Z05 76M99 PDF BibTeX XML OpenURL
Allen, M. B.; Koebbe, J. V.; Ewing, R. E. Mixed finite element methods for computing groundwater velocities. (English) Zbl 0637.76101 Numer. Methods Partial Differ. Equations 1, 195-207 (1985). MSC: 76S05 35Q99 76M99 65Z05 86A20 PDF BibTeX XML Cite \textit{M. B. Allen} et al., Numer. Methods Partial Differ. Equations 1, 195--207 (1985; Zbl 0637.76101) Full Text: DOI OpenURL
Huyakorn, Peter S.; Pinder, George F. Computational methods in subsurface flow. (English) Zbl 0577.76001 New York - London etc.: Academic Press (Harcourt Brace Jovanovich, Publishers). XIII, 473 p. $ 69.00 (1983). Reviewer: V.P.Tyagi MSC: 76-02 76S05 65N30 76M99 35Q99 74L10 65N06 65N35 PDF BibTeX XML Full Text: DOI OpenURL
Gambolati, Giuseppe; Volpi, Giampiero Analysis of performance of the modified conjugate gradient method for solution of sparse linear sets of finite element equations. (English) Zbl 0489.76009 Proc. 3rd int. Conf. Finite elements in flow problems, Banff/ Alberta 1980, Vol. II, 256-264 (1980). MSC: 76M99 65N30 PDF BibTeX XML OpenURL
Oron, Gideon; Karmeli, David The flow regime in the root zone around a subsurface emitter. (English) Zbl 0435.76100 Isr. J. Technol. 17, 95-101 (1979). MSC: 76Z05 PDF BibTeX XML Cite \textit{G. Oron} and \textit{D. Karmeli}, Isr. J. Technol. 17, 95--101 (1979; Zbl 0435.76100) OpenURL