Doppler, Sabine; Lederer, Philip L.; Schöberl, Joachim; von Wahl, Henry A discontinuous Galerkin approach for Atmospheric flows with implicit condensation. (English) Zbl 07819060 J. Comput. Phys. 499, Article ID 112713, 21 p. (2024). MSC: 65Mxx 76Mxx 86Axx PDFBibTeX XMLCite \textit{S. Doppler} et al., J. Comput. Phys. 499, Article ID 112713, 21 p. (2024; Zbl 07819060) Full Text: DOI arXiv
Cotter, C. J.; Shipton, J. A compatible finite element discretisation for the nonhydrostatic vertical slice equations. (English) Zbl 07760983 GEM. Int. J. Geomath. 14, Paper No. 25, 20 p. (2023). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M60 65M06 65N30 76N10 76U60 76M10 76M20 86A10 35Q31 PDFBibTeX XMLCite \textit{C. J. Cotter} and \textit{J. Shipton}, GEM. Int. J. Geomath. 14, Paper No. 25, 20 p. (2023; Zbl 07760983) Full Text: DOI arXiv
Kohlhaas, Rebecca; Kröker, Ilja; Oladyshkin, Sergey; Nowak, Wolfgang Gaussian active learning on multi-resolution arbitrary polynomial chaos emulator: concept for bias correction, assessment of surrogate reliability and its application to the carbon dioxide benchmark. (English) Zbl 1521.86048 Comput. Geosci. 27, No. 3, 369-389 (2023). MSC: 86A32 60G15 62P12 86-10 PDFBibTeX XMLCite \textit{R. Kohlhaas} et al., Comput. Geosci. 27, No. 3, 369--389 (2023; Zbl 1521.86048) Full Text: DOI
Hu, Yu; Meir, A. J. Existence and uniqueness of solutions of the equations of quasistatic electroporoelasticity. (English) Zbl 07733941 J. Comput. Appl. Math. 431, Article ID 115256, 10 p. (2023). MSC: 35Q60 35Q74 35Q35 35Q86 78A25 74F10 74F15 74L10 74B10 76S05 76W05 86A15 35B45 35D30 35K51 35A15 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{A. J. Meir}, J. Comput. Appl. Math. 431, Article ID 115256, 10 p. (2023; Zbl 07733941) Full Text: DOI
Gärttner, Stephan; Alpak, Faruk O.; Meier, Andreas; Ray, Nadja; Frank, Florian Estimating permeability of 3D micro-CT images by physics-informed CNNs based on DNS. (English) Zbl 1514.86001 Comput. Geosci. 27, No. 2, 245-262 (2023). MSC: 86-08 68T07 76S05 PDFBibTeX XMLCite \textit{S. Gärttner} et al., Comput. Geosci. 27, No. 2, 245--262 (2023; Zbl 1514.86001) Full Text: DOI arXiv
Liu, Chang; Clark, Antwan D. Semi-analytical solutions of shallow water waves with idealised bottom topographies. (English) Zbl 07693281 Geophys. Astrophys. Fluid Dyn. 117, No. 1, 35-58 (2023). MSC: 76-XX 86-XX PDFBibTeX XMLCite \textit{C. Liu} and \textit{A. D. Clark}, Geophys. Astrophys. Fluid Dyn. 117, No. 1, 35--58 (2023; Zbl 07693281) Full Text: DOI arXiv
de Diego, Gonzalo G.; Farrell, Patrick E.; Hewitt, Ian J. On the finite element approximation of a semicoercive Stokes variational inequality arising in glaciology. (English) Zbl 1521.65124 SIAM J. Numer. Anal. 61, No. 1, 1-25 (2023). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65N30 65N12 65N15 86A40 76A05 35Q35 35Q86 PDFBibTeX XMLCite \textit{G. G. de Diego} et al., SIAM J. Numer. Anal. 61, No. 1, 1--25 (2023; Zbl 1521.65124) Full Text: DOI arXiv
Kumar, Naresh Supercloseness analysis of a stabilizer-free weak Galerkin finite element method for viscoelastic wave equations with variable coefficients. (English) Zbl 1514.65131 Adv. Comput. Math. 49, No. 2, Paper No. 12, 36 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76A10 86A15 76Q05 74D05 PDFBibTeX XMLCite \textit{N. Kumar}, Adv. Comput. Math. 49, No. 2, Paper No. 12, 36 p. (2023; Zbl 1514.65131) Full Text: DOI
Zhang, Min; Yan, Wenjing; Jing, Feifei; Zhao, Haixia Discontinuous Galerkin method for the diffusive-viscous wave equation. (English) Zbl 1500.65077 Appl. Numer. Math. 183, 118-139 (2023). MSC: 65M60 65M06 65N30 65M15 65M12 76U60 86A15 35Q86 PDFBibTeX XMLCite \textit{M. Zhang} et al., Appl. Numer. Math. 183, 118--139 (2023; Zbl 1500.65077) Full Text: DOI
Ortleb, Sigrun; Lambrechts, Jonathan; Kärnä, Tuomas Wetting and drying procedures for shallow water simulations. (English) Zbl 07736167 Schuttelaars, Henk (ed.) et al., The mathematics of marine modelling. Water, solute and particle dynamics in estuaries and shallow seas. Cham: Springer. Math. Planet Earth 9, 287-314 (2022). MSC: 76B15 76M12 86A05 PDFBibTeX XMLCite \textit{S. Ortleb} et al., Math. Planet Earth 9, 287--314 (2022; Zbl 07736167) Full Text: DOI
Dawson, Clint; Samii, Ali A review of nonlinear Boussinesq-type models for coastal Ocean modeling. (English) Zbl 07736159 Schuttelaars, Henk (ed.) et al., The mathematics of marine modelling. Water, solute and particle dynamics in estuaries and shallow seas. Cham: Springer. Math. Planet Earth 9, 45-71 (2022). MSC: 76B15 86A05 PDFBibTeX XMLCite \textit{C. Dawson} and \textit{A. Samii}, Math. Planet Earth 9, 45--71 (2022; Zbl 07736159) Full Text: DOI
Ern, Alexandre; Hédin, Florent; Pichot, Géraldine; Pignet, Nicolas Hybrid high-order methods for flow simulations in extremely large discrete fracture networks. (English) Zbl 1512.65265 SMAI J. Comput. Math. 8, 375-398 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N50 65F35 76S05 76U60 86A05 35R02 PDFBibTeX XMLCite \textit{A. Ern} et al., SMAI J. Comput. Math. 8, 375--398 (2022; Zbl 1512.65265) Full Text: DOI
Galindez-Ramirez, G.; Contreras, F. R. L.; Carvalho, D. K. E.; Lyra, P. R. M. A very high-order flux reconstruction approach coupled to the MPFA-QL finite volume method for the numerical simulation of oil-water flows in 2D petroleum reservoirs. (English) Zbl 1503.76103 Appl. Math. Modelling 106, 799-821 (2022). MSC: 76T06 76M12 86A05 PDFBibTeX XMLCite \textit{G. Galindez-Ramirez} et al., Appl. Math. Modelling 106, 799--821 (2022; Zbl 1503.76103) Full Text: DOI
Nazer, Safaa Al; Rosier, Carole; Tsegmid, Munkhgerel Mathematical analysis of a Dupuit-Richards model. (English) Zbl 1504.35366 Electron. J. Differ. Equ. 2022, Paper No. 06, 22 p. (2022). MSC: 35Q35 35Q86 76S05 86A05 35A01 35D30 35K59 35R35 PDFBibTeX XMLCite \textit{S. A. Nazer} et al., Electron. J. Differ. Equ. 2022, Paper No. 06, 22 p. (2022; Zbl 1504.35366) Full Text: Link
Wang, Bao-Shan; Li, Peng; Gao, Zhen High-order well-balanced and positivity-preserving finite-difference AWENO scheme with hydrostatic reconstruction for shallow water equations. (English) Zbl 1505.76067 Appl. Numer. Math. 181, 483-502 (2022). MSC: 76M20 76B10 65M06 86A05 PDFBibTeX XMLCite \textit{B.-S. Wang} et al., Appl. Numer. Math. 181, 483--502 (2022; Zbl 1505.76067) Full Text: DOI
Shi, Jia; Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef; de Hoop, Maarten V. A non-perturbative approach to computing seismic normal modes in rotating planets. (English) Zbl 1489.85001 J. Sci. Comput. 91, No. 2, Paper No. 67, 52 p. (2022). MSC: 85-08 86-08 85-10 85A20 86A15 76U60 76M10 15A18 65N25 65N30 PDFBibTeX XMLCite \textit{J. Shi} et al., J. Sci. Comput. 91, No. 2, Paper No. 67, 52 p. (2022; Zbl 1489.85001) Full Text: DOI arXiv
Jelti, S.; Boulerhcha, M. Numerical modeling of two dimensional non-capacity model for sediment transport by an unstructured finite volume method with a new discretization of the source term. (English) Zbl 07529441 Math. Comput. Simul. 197, 253-276 (2022). MSC: 76-XX 86-XX PDFBibTeX XMLCite \textit{S. Jelti} and \textit{M. Boulerhcha}, Math. Comput. Simul. 197, 253--276 (2022; Zbl 07529441) Full Text: DOI
Berrone, Stefano; Grappein, Denise; Scialò, Stefano; Vicini, Fabio A gradient based resolution strategy for a PDE-constrained optimization approach for 3D-1D coupled problems. (English) Zbl 1478.65114 GEM. Int. J. Geomath. 13, Paper No. 1, 25 p. (2022). MSC: 65N30 49M41 65N22 65N50 65N55 86-08 PDFBibTeX XMLCite \textit{S. Berrone} et al., GEM. Int. J. Geomath. 13, Paper No. 1, 25 p. (2022; Zbl 1478.65114) Full Text: DOI arXiv
Kadeethum, Teeratorn; Ballarin, Francesco; Bouklas, Nikolaos Data-driven reduced order modeling of poroelasticity of heterogeneous media based on a discontinuous Galerkin approximation. (English) Zbl 1480.65260 GEM. Int. J. Geomath. 12, Paper No. 12, 45 p. (2021). MSC: 65M60 76S05 86A05 PDFBibTeX XMLCite \textit{T. Kadeethum} et al., GEM. Int. J. Geomath. 12, Paper No. 12, 45 p. (2021; Zbl 1480.65260) Full Text: DOI arXiv
Ferrand, Martin; Harris, Jeffrey C. Finite volume arbitrary Lagrangian-Eulerian schemes using dual meshes for ocean wave applications. (English) Zbl 1521.76418 Comput. Fluids 219, Article ID 104860, 17 p. (2021). MSC: 76M12 65M08 76U60 86A05 PDFBibTeX XMLCite \textit{M. Ferrand} and \textit{J. C. Harris}, Comput. Fluids 219, Article ID 104860, 17 p. (2021; Zbl 1521.76418) Full Text: DOI Link
Antonietti, Paola F.; Facciolà, Chiara; Houston, Paul; Mazzieri, Ilario; Pennesi, Giorgio; Verani, Marco High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations. (English) Zbl 1470.86002 Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 159-225 (2021). MSC: 86-08 86A15 74S05 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SEMA SIMAI Springer Ser. 27, 159--225 (2021; Zbl 1470.86002) Full Text: DOI
Guillén-Gonzàlez, Francisco; Redondo-Neble, M. Victoria; Rodríguez-Galvàn, J. Rafael Numerical analysis of a stable discontinuous Galerkin scheme for the hydrostatic Stokes problem. (English) Zbl 1480.65257 J. Numer. Math. 29, No. 2, 103-118 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M12 76D07 76U05 86A05 35Q35 35Q86 PDFBibTeX XMLCite \textit{F. Guillén-Gonzàlez} et al., J. Numer. Math. 29, No. 2, 103--118 (2021; Zbl 1480.65257) Full Text: DOI
Prieto-Arranz, Alberto; Ramírez, Luis; Couceiro, Iván; Colominas, Ignasi; Nogueira, Xesús A well-balanced SPH-ALE scheme for shallow water applications. (English) Zbl 1480.76091 J. Sci. Comput. 88, No. 3, Paper No. 84, 29 p. (2021). MSC: 76M28 76B15 86A05 PDFBibTeX XMLCite \textit{A. Prieto-Arranz} et al., J. Sci. Comput. 88, No. 3, Paper No. 84, 29 p. (2021; Zbl 1480.76091) Full Text: DOI
Zhang, Min; Huang, Weizhang; Qiu, Jianxian A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography. (English) Zbl 1476.65226 J. Sci. Comput. 87, No. 3, Paper No. 88, 43 p. (2021). MSC: 65M50 65M60 76B15 76B25 86A05 35Q35 35Q86 PDFBibTeX XMLCite \textit{M. Zhang} et al., J. Sci. Comput. 87, No. 3, Paper No. 88, 43 p. (2021; Zbl 1476.65226) Full Text: DOI arXiv
Botti, Lorenzo; Botti, Michele; Di Pietro, Daniele A. An abstract analysis framework for monolithic discretisations of poroelasticity with application to hybrid high-order methods. (English) Zbl 1524.65517 Comput. Math. Appl. 91, 150-175 (2021). MSC: 65M60 65N30 76S05 74F10 74S05 65N08 65M06 65N12 86A05 PDFBibTeX XMLCite \textit{L. Botti} et al., Comput. Math. Appl. 91, 150--175 (2021; Zbl 1524.65517) Full Text: DOI arXiv
Blank, Laura; Meneses Rioseco, Ernesto; Caiazzo, Alfonso; Wilbrandt, Ulrich Modeling, simulation, and optimization of geothermal energy production from hot sedimentary aquifers. (English) Zbl 1453.86004 Comput. Geosci. 25, No. 1, 67-104 (2021). MSC: 86-08 86-04 86A05 76M10 PDFBibTeX XMLCite \textit{L. Blank} et al., Comput. Geosci. 25, No. 1, 67--104 (2021; Zbl 1453.86004) Full Text: DOI
Barone, Alessandro; Carlino, Michele Giuliano; Gizzi, Alessio; Perotto, Simona; Veneziani, Alessandro Efficient estimation of cardiac conductivities: a proper generalized decomposition approach. (English) Zbl 07508423 J. Comput. Phys. 423, Article ID 109810, 21 p. (2020). MSC: 92-XX 86-XX PDFBibTeX XMLCite \textit{A. Barone} et al., J. Comput. Phys. 423, Article ID 109810, 21 p. (2020; Zbl 07508423) Full Text: DOI
Bourel, Christophe; Choquet, Catherine; Rosier, Carole; Tsegmid, Munkhgerel Modeling of shallow aquifers in interaction with overland water. (English) Zbl 1481.76206 Appl. Math. Modelling 81, 727-751 (2020). MSC: 76S05 86A05 PDFBibTeX XMLCite \textit{C. Bourel} et al., Appl. Math. Modelling 81, 727--751 (2020; Zbl 1481.76206) Full Text: DOI arXiv
Coatléven, Julien Some multiple flow direction algorithms for overland flow on general meshes. (English) Zbl 1467.65099 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1917-1949 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N12 65N15 65N30 76B15 86A05 PDFBibTeX XMLCite \textit{J. Coatléven}, ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1917--1949 (2020; Zbl 1467.65099) Full Text: DOI
Aïssiouene, Nora; Bristeau, Marie-Odile; Godlewski, Edwige; Mangeney, Anne; Parés Madroñal, Carlos; Sainte-Marie, Jacques A two-dimensional method for a family of dispersive shallow water models. (English) Zbl 1452.65221 SMAI J. Comput. Math. 6, 187-226 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M08 65M12 76M10 76M12 35L65 35A15 35Q30 35Q35 76B15 76D05 86A15 35R35 PDFBibTeX XMLCite \textit{N. Aïssiouene} et al., SMAI J. Comput. Math. 6, 187--226 (2020; Zbl 1452.65221) Full Text: DOI
Favino, Marco; Hunziker, Jürg; Caspari, Eva; Quintal, Beatriz; Holliger, Klaus; Krause, Rolf Fully-automated adaptive mesh refinement for media embedding complex heterogeneities: application to poroelastic fluid pressure diffusion. (English) Zbl 1439.86019 Comput. Geosci. 24, No. 3, 1101-1120 (2020). MSC: 86A15 65N30 76S05 86-08 PDFBibTeX XMLCite \textit{M. Favino} et al., Comput. Geosci. 24, No. 3, 1101--1120 (2020; Zbl 1439.86019) Full Text: DOI Link
Wen, Xiao; Don, Wai Sun; Gao, Zhen; Xing, Yulong Entropy stable and well-balanced discontinuous Galerkin methods for the nonlinear shallow water equations. (English) Zbl 1445.76055 J. Sci. Comput. 83, No. 3, Paper No. 66, 32 p. (2020). MSC: 76M12 76M20 76B15 86-08 PDFBibTeX XMLCite \textit{X. Wen} et al., J. Sci. Comput. 83, No. 3, Paper No. 66, 32 p. (2020; Zbl 1445.76055) Full Text: DOI
Fabien, Maurice S.; Knepley, Matthew; Riviere, Beatrice A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media. (English) Zbl 1508.65128 Results Appl. Math. 8, Article ID 100089, 14 p. (2020). MSC: 65M60 65N30 65M06 76T06 76S05 86A05 PDFBibTeX XMLCite \textit{M. S. Fabien} et al., Results Appl. Math. 8, Article ID 100089, 14 p. (2020; Zbl 1508.65128) Full Text: DOI arXiv
Coulet, Julien; Faille, Isabelle; Girault, Vivette; Guy, Nicolas; Nataf, Frédéric A fully coupled scheme using virtual element method and finite volume for poroelasticity. (English) Zbl 1434.86001 Comput. Geosci. 24, No. 2, 381-403 (2020). MSC: 86-08 65N30 65M08 86A04 74F10 76S05 PDFBibTeX XMLCite \textit{J. Coulet} et al., Comput. Geosci. 24, No. 2, 381--403 (2020; Zbl 1434.86001) Full Text: DOI Link
Lannes, D. Modeling shallow water waves. (English) Zbl 1442.35462 Nonlinearity 33, No. 5, R1-R57 (2020). MSC: 35Q86 35Q53 86A05 35L55 35L67 76B15 76-02 35Q31 PDFBibTeX XMLCite \textit{D. Lannes}, Nonlinearity 33, No. 5, R1--R57 (2020; Zbl 1442.35462) Full Text: DOI arXiv
Chertock, A.; Kurganov, A.; Lukáčová-Medvid’ová, M.; Spichtinger, P.; Wiebe, B. Stochastic Galerkin method for cloud simulation. (English) Zbl 1505.86001 Math. Clim. Weather Forecast. 5, 65-106 (2019). MSC: 86-08 65C30 60H15 60H35 65M08 65M60 76M35 86A10 PDFBibTeX XMLCite \textit{A. Chertock} et al., Math. Clim. Weather Forecast. 5, 65--106 (2019; Zbl 1505.86001) Full Text: DOI arXiv
Baratchart, Laurent; Chevillard, Sylvain; Hardin, Douglas; Leblond, Juliette; Lima, Eduardo Andrade; Marmorat, Jean-Paul Magnetic moment estimation and bounded extremal problems. (English) Zbl 1410.35025 Inverse Probl. Imaging 13, No. 1, 39-67 (2019). MSC: 35J15 35R30 35A35 42B37 86A22 45K05 46F12 47N20 PDFBibTeX XMLCite \textit{L. Baratchart} et al., Inverse Probl. Imaging 13, No. 1, 39--67 (2019; Zbl 1410.35025) Full Text: DOI
Samii, Ali; Dawson, Clint An explicit hybridized discontinuous Galerkin method for Serre-Green-Naghdi wave model. (English) Zbl 1439.76094 Comput. Methods Appl. Mech. Eng. 330, 447-470 (2018). MSC: 76M10 65M60 76B15 86A05 PDFBibTeX XMLCite \textit{A. Samii} and \textit{C. Dawson}, Comput. Methods Appl. Mech. Eng. 330, 447--470 (2018; Zbl 1439.76094) Full Text: DOI
Shin, Dong-wook; Kang, Younghun; Park, Eun-Jae \(C^0\)-discontinuous Galerkin methods for a wind-driven ocean circulation model: two-grid algorithm. (English) Zbl 1439.86007 Comput. Methods Appl. Mech. Eng. 328, 321-339 (2018). MSC: 86-08 65N30 86A05 86A10 76M10 PDFBibTeX XMLCite \textit{D.-w. Shin} et al., Comput. Methods Appl. Mech. Eng. 328, 321--339 (2018; Zbl 1439.86007) Full Text: DOI
Antonietti, Paola F.; Ferroni, Alberto; Mazzieri, Ilario; Paolucci, Roberto; Quarteroni, Alfio; Smerzini, Chiara; Stupazzini, Marco Numerical modeling of seismic waves by discontinuous spectral element methods. (English) Zbl 1453.86013 ESAIM, Proc. Surv. 61, 1-37 (2018). MSC: 86-10 86-08 65M70 86A15 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., ESAIM, Proc. Surv. 61, 1--37 (2018; Zbl 1453.86013) Full Text: DOI
Kemmochi, Tomoya On the finite element approximation for non-stationary saddle-point problems. (English) Zbl 1406.65115 Japan J. Ind. Appl. Math. 35, No. 2, 423-439 (2018). MSC: 65N30 76M10 76D07 86A05 86A10 65N15 PDFBibTeX XMLCite \textit{T. Kemmochi}, Japan J. Ind. Appl. Math. 35, No. 2, 423--439 (2018; Zbl 1406.65115) Full Text: DOI arXiv
Vidotto, Ettore; Helmig, Rainer; Schneider, Martin; Wohlmuth, Barbara Streamline method for resolving sharp fronts for complex two-phase flow in porous media. (English) Zbl 1404.86010 Comput. Geosci. 22, No. 6, 1487-1502 (2018). MSC: 86-08 PDFBibTeX XMLCite \textit{E. Vidotto} et al., Comput. Geosci. 22, No. 6, 1487--1502 (2018; Zbl 1404.86010) Full Text: DOI arXiv
Helanow, Christian; Ahlkrona, Josefin Stabilized equal low-order finite elements in ice sheet modeling – accuracy and robustness. (English) Zbl 1398.76107 Comput. Geosci. 22, No. 4, 951-974 (2018). MSC: 76M10 86A40 76A05 PDFBibTeX XMLCite \textit{C. Helanow} and \textit{J. Ahlkrona}, Comput. Geosci. 22, No. 4, 951--974 (2018; Zbl 1398.76107) Full Text: DOI arXiv
Bonev, Boris; Hesthaven, Jan S.; Giraldo, Francis X.; Kopera, Michal A. Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction. (English) Zbl 1391.76305 J. Comput. Phys. 362, 425-448 (2018). MSC: 76M10 65M60 86A05 PDFBibTeX XMLCite \textit{B. Bonev} et al., J. Comput. Phys. 362, 425--448 (2018; Zbl 1391.76305) Full Text: DOI Link
Abudawia, A.; Mourad, A.; Rodrigues, J. H.; Rosier, C. A finite element method for a seawater intrusion problem in unconfined aquifers. (English) Zbl 1403.76055 Appl. Numer. Math. 127, 349-369 (2018). MSC: 76M12 76M10 65M60 65M08 86A05 PDFBibTeX XMLCite \textit{A. Abudawia} et al., Appl. Numer. Math. 127, 349--369 (2018; Zbl 1403.76055) Full Text: DOI
Benoit, Michel; Raoult, Cécile; Yates, Marissa L. Analysis of the linear version of a highly dispersive potential water wave model using a spectral approach in the vertical. (English) Zbl 1524.76167 Wave Motion 74, 159-181 (2017). MSC: 76D33 86A05 PDFBibTeX XMLCite \textit{M. Benoit} et al., Wave Motion 74, 159--181 (2017; Zbl 1524.76167) Full Text: DOI
Almani, T.; Kumar, Kundan; Wheeler, M. F. Convergence and error analysis of fully discrete iterative coupling schemes for coupling flow with geomechanics. (English) Zbl 1396.76047 Comput. Geosci. 21, No. 5-6, 1157-1172 (2017). MSC: 76M10 65M60 76S05 86A60 PDFBibTeX XMLCite \textit{T. Almani} et al., Comput. Geosci. 21, No. 5--6, 1157--1172 (2017; Zbl 1396.76047) Full Text: DOI
Guillén-González, F.; Redondo-Neble, M. Victoria; Rodríguez-Galván, J. R. Stable discontinuous Galerkin approximations for the hydrostatic Stokes equations. (English) Zbl 1468.76040 Mateos, Mariano (ed.) et al., Computational mathematics, numerical analysis and applications. Lecture notes of the XVII ‘Jacques-Louis Lions’ Spanish-French school, Gijón, Spain, June 2016. Cham: Springer. SEMA SIMAI Springer Ser. 13, 207-211 (2017). MSC: 76M10 76D07 86A05 PDFBibTeX XMLCite \textit{F. Guillén-González} et al., SEMA SIMAI Springer Ser. 13, 207--211 (2017; Zbl 1468.76040) Full Text: DOI arXiv
Samaké, Abdoulaye; Rampal, Pierre; Bouillon, Sylvain; Ólason, Einar Parallel implementation of a Lagrangian-based model on an adaptive mesh in C++: application to sea-ice. (English) Zbl 1380.86006 J. Comput. Phys. 350, 84-96 (2017). MSC: 86A05 35Q86 74F10 65Y05 PDFBibTeX XMLCite \textit{A. Samaké} et al., J. Comput. Phys. 350, 84--96 (2017; Zbl 1380.86006) Full Text: DOI
Arbogast, Todd; Hesse, Marc A.; Taicher, Abraham L. Mixed methods for two-phase Darcy-Stokes mixtures of partially melted materials with regions of zero porosity. (English) Zbl 1383.76330 SIAM J. Sci. Comput. 39, No. 2, B375-B402 (2017). MSC: 76M10 76S05 65N30 35J70 65N12 76T99 86A60 PDFBibTeX XMLCite \textit{T. Arbogast} et al., SIAM J. Sci. Comput. 39, No. 2, B375--B402 (2017; Zbl 1383.76330) Full Text: DOI
Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches. (English) Zbl 1388.76140 J. Comput. Appl. Math. 314, 40-60 (2017). MSC: 76M10 65M60 76S05 86A40 74F10 74R99 PDFBibTeX XMLCite \textit{S. Lee} et al., J. Comput. Appl. Math. 314, 40--60 (2017; Zbl 1388.76140) Full Text: DOI arXiv
Faille, Isabelle; Fumagalli, Alessio; Jaffré, Jérôme; Roberts, Jean E. Model reduction and discretization using hybrid finite volumes for flow in porous media containing faults. (English) Zbl 1391.76719 Comput. Geosci. 20, No. 2, 317-339 (2016). MSC: 76S05 65N08 86-08 86A60 PDFBibTeX XMLCite \textit{I. Faille} et al., Comput. Geosci. 20, No. 2, 317--339 (2016; Zbl 1391.76719) Full Text: DOI
Jouvet, G. Mechanical error estimators for shallow ice flow models. (English) Zbl 1384.86010 J. Fluid Mech. 807, 40-61 (2016). MSC: 86A40 76A05 76M30 PDFBibTeX XMLCite \textit{G. Jouvet}, J. Fluid Mech. 807, 40--61 (2016; Zbl 1384.86010) Full Text: DOI
Hieber, Matthias; Kashiwabara, Takahito Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces. (English) Zbl 1350.35155 Arch. Ration. Mech. Anal. 221, No. 3, 1077-1115 (2016). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q35 35D35 86A10 PDFBibTeX XMLCite \textit{M. Hieber} and \textit{T. Kashiwabara}, Arch. Ration. Mech. Anal. 221, No. 3, 1077--1115 (2016; Zbl 1350.35155) Full Text: DOI arXiv
Berrone, Stefano; Borio, Andrea; Scialó, Stefano A posteriori error estimate for a PDE-constrained optimization formulation for the flow in DFNs. (English) Zbl 1382.76159 SIAM J. Numer. Anal. 54, No. 1, 242-261 (2016). MSC: 76M10 65N30 65N15 65N50 76S05 86-08 86A05 PDFBibTeX XMLCite \textit{S. Berrone} et al., SIAM J. Numer. Anal. 54, No. 1, 242--261 (2016; Zbl 1382.76159) Full Text: DOI
Kröker, Ilja; Nowak, Wolfgang; Rohde, Christian A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems. (English) Zbl 1396.65126 Comput. Geosci. 19, No. 2, 269-284 (2015). MSC: 65L60 86-08 76S05 PDFBibTeX XMLCite \textit{I. Kröker} et al., Comput. Geosci. 19, No. 2, 269--284 (2015; Zbl 1396.65126) Full Text: DOI
Schneider, Lauriane; di Chiara Roupert, Raphaël; Schäfer, Gerhard; Helluy, Philippe Highly gravity-driven flow of a NAPL in water-saturated porous media using the discontinuous Galerkin finite-element method with a generalised Godunov scheme. Highly gravity-driven flow of a NAPL in water-saturated porous media. (English) Zbl 1392.86026 Comput. Geosci. 19, No. 4, 855-876 (2015). MSC: 86-08 65M60 76S05 PDFBibTeX XMLCite \textit{L. Schneider} et al., Comput. Geosci. 19, No. 4, 855--876 (2015; Zbl 1392.86026) Full Text: DOI
Li, Jizhou; Riviere, Beatrice High order discontinuous Galerkin method for simulating miscible flooding in porous media. (English) Zbl 1391.76732 Comput. Geosci. 19, No. 6, 1251-1268 (2015). MSC: 76S05 76M10 86A05 65N30 PDFBibTeX XMLCite \textit{J. Li} and \textit{B. Riviere}, Comput. Geosci. 19, No. 6, 1251--1268 (2015; Zbl 1391.76732) Full Text: DOI
Jouvet, Guillaume Multilayer shallow shelf approximation: minimisation formulation, finite element solvers and applications. (English) Zbl 1351.76064 J. Comput. Phys. 287, 60-76 (2015). MSC: 76M10 65N30 76A05 86A40 PDFBibTeX XMLCite \textit{G. Jouvet}, J. Comput. Phys. 287, 60--76 (2015; Zbl 1351.76064) Full Text: DOI
Guillén González, F.; Rodríguez Galván, J. R. Stabilized schemes for the hydrostatic Stokes equations. (English) Zbl 1328.35168 SIAM J. Numer. Anal. 53, No. 4, 1876-1896 (2015). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35Q35 65N12 65N15 65N30 86A05 76D07 PDFBibTeX XMLCite \textit{F. Guillén González} and \textit{J. R. Rodríguez Galván}, SIAM J. Numer. Anal. 53, No. 4, 1876--1896 (2015; Zbl 1328.35168) Full Text: DOI Link
Allaire, Grégoire; Brizzi, Robert; Dufrêche, Jean-François; Mikelić, Andro; Piatnitski, Andrey Role of non-ideality for the ion transport in porous media: derivation of the macroscopic equations using upscaling. (English) Zbl 1349.76803 Physica D 282, 39-60 (2014). MSC: 76S05 86A05 PDFBibTeX XMLCite \textit{G. Allaire} et al., Physica D 282, 39--60 (2014; Zbl 1349.76803) Full Text: DOI arXiv
Jouvet, Guillaume; Rappaz, Jacques Numerical analysis and simulation of the dynamics of mountain glaciers. (English) Zbl 1317.86020 Fitzgibbon, William (ed.) et al., Modeling, simulation and optimization for science and technology. Selected contributions based on the presentations at the conferences “Optimization and PDE’s with industrial applications”, Jyväskylä, Finland, June, 2012 on the occasion of the 70th birthday of Jaques Périaux and “Optimization and PDE’s with application”, Jyväskylä, Finland, June, 2012 on the occasion of the 75th birthday of Roland Glowinski. Dordrecht: Springer (ISBN 978-94-017-9053-6/hbk; 978-94-017-9054-3/ebook). Computational Methods in Applied Sciences 34, 83-92 (2014). MSC: 86A40 PDFBibTeX XMLCite \textit{G. Jouvet} and \textit{J. Rappaz}, Comput. Methods Appl. Sci. 34, 83--92 (2014; Zbl 1317.86020) Full Text: DOI
van Zwieten, G. J.; van Brummelen, E. H.; van der Zee, K. G.; Gutiérrez, M. A.; Hanssen, R. F. Discontinuities without discontinuity: the weakly-enforced slip method. (English) Zbl 1296.86008 Comput. Methods Appl. Mech. Eng. 271, 144-166 (2014). MSC: 86A17 74L10 74S05 65N30 74L05 PDFBibTeX XMLCite \textit{G. J. van Zwieten} et al., Comput. Methods Appl. Mech. Eng. 271, 144--166 (2014; Zbl 1296.86008) Full Text: DOI arXiv
Vohralík, Martin; Wheeler, Mary F. A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows. (English) Zbl 1393.76069 Comput. Geosci. 17, No. 5, 789-812 (2013). MSC: 76M10 65M60 65M15 76S05 65M50 76T10 86A05 PDFBibTeX XMLCite \textit{M. Vohralík} and \textit{M. F. Wheeler}, Comput. Geosci. 17, No. 5, 789--812 (2013; Zbl 1393.76069) Full Text: DOI
Le Roux, Daniel Y. Spurious inertial oscillations in shallow-water models. (English) Zbl 1284.86004 J. Comput. Phys. 231, No. 24, 7959-7987 (2012). MSC: 86A05 76M10 35Q35 76B15 PDFBibTeX XMLCite \textit{D. Y. Le Roux}, J. Comput. Phys. 231, No. 24, 7959--7987 (2012; Zbl 1284.86004) Full Text: DOI
Jouvet, Guillaume; Rappaz, Jacques Analysis and finite element approximation of a nonlinear stationary Stokes problem arising in glaciology. (English) Zbl 1342.76041 Adv. Numer. Anal. 2011, Article ID 164581, 24 p. (2011). MSC: 76D07 76M10 86A40 65N30 PDFBibTeX XMLCite \textit{G. Jouvet} and \textit{J. Rappaz}, Adv. Numer. Anal. 2011, Article ID 164581, 24 p. (2011; Zbl 1342.76041) Full Text: DOI
Kärnä, Tuomas; De Brye, Benjamin; Gourgue, Olivier; Lambrechts, Jonathan; Comblen, Richard; Legat, Vincent; Deleersnijder, Eric A fully implicit wetting-drying method for DG-FEM shallow water models, with an application to the scheldt estuary. (English) Zbl 1225.76196 Comput. Methods Appl. Mech. Eng. 200, No. 5-8, 509-524 (2011). MSC: 76M10 86A05 PDFBibTeX XMLCite \textit{T. Kärnä} et al., Comput. Methods Appl. Mech. Eng. 200, No. 5--8, 509--524 (2011; Zbl 1225.76196) Full Text: DOI
Gomez, Susana; Ivorra, Benjamin; Ramos, Angel Manuel Optimization of a pumping ship trajectory to clean oil contamination in the open sea. (English) Zbl 1225.76097 Math. Comput. Modelling 54, No. 1-2, 477-489 (2011). MSC: 76D55 90C90 49N90 86A05 PDFBibTeX XMLCite \textit{S. Gomez} et al., Math. Comput. Modelling 54, No. 1--2, 477--489 (2011; Zbl 1225.76097) Full Text: DOI
Zokagoa, Jean-Marie; Soulaïmani, Azzeddine Modeling of wetting-drying transitions in free surface flows over complex topographies. (English) Zbl 1231.76184 Comput. Methods Appl. Mech. Eng. 199, No. 33-36, 2281-2304 (2010). MSC: 76M12 76B10 76T10 86A05 PDFBibTeX XMLCite \textit{J.-M. Zokagoa} and \textit{A. Soulaïmani}, Comput. Methods Appl. Mech. Eng. 199, No. 33--36, 2281--2304 (2010; Zbl 1231.76184) Full Text: DOI
Nikolos, I. K.; Delis, A. I. An unstructured node-centered finite volume scheme for shallow water flows with wet/dry fronts over complex topography. (English) Zbl 1230.76035 Comput. Methods Appl. Mech. Eng. 198, No. 47-48, 3723-3750 (2009). MSC: 76M12 76B10 86A05 PDFBibTeX XMLCite \textit{I. K. Nikolos} and \textit{A. I. Delis}, Comput. Methods Appl. Mech. Eng. 198, No. 47--48, 3723--3750 (2009; Zbl 1230.76035) Full Text: DOI
Sochala, P.; Ern, A.; Piperno, S. Mass conservative BDF-discontinuous Galerkin/explicit finite volume schemes for coupling subsurface and overland flows. (English) Zbl 1227.76045 Comput. Methods Appl. Mech. Eng. 198, No. 27-29, 2122-2136 (2009). MSC: 76M12 76S05 86A05 PDFBibTeX XMLCite \textit{P. Sochala} et al., Comput. Methods Appl. Mech. Eng. 198, No. 27--29, 2122--2136 (2009; Zbl 1227.76045) Full Text: DOI arXiv
Perotto, Simona Adaptive modeling for free-surface flows. (English) Zbl 1160.76319 ESAIM, Math. Model. Numer. Anal. 40, No. 3, 469-499 (2006). MSC: 76B07 65M60 76M25 86A05 PDFBibTeX XMLCite \textit{S. Perotto}, ESAIM, Math. Model. Numer. Anal. 40, No. 3, 469--499 (2006; Zbl 1160.76319) Full Text: DOI Numdam EuDML
Liu, Xiaoming; Lu, Zhiming; Liu, Yulu Krylov subspace projection method and its application to oil reservoir simulation. (English) Zbl 0988.76063 Appl. Math. Mech., Engl. Ed. 21, No. 6, 607-616 (2000). MSC: 76M20 76S05 86-08 86A05 65F10 PDFBibTeX XMLCite \textit{X. Liu} et al., Appl. Math. Mech., Engl. Ed. 21, No. 6, 607--616 (2000; Zbl 0988.76063) Full Text: DOI