Carvalho, Pablo G. S.; Devloo, Philippe R. B.; Gomes, Sônia M. A semi-hybrid-mixed method for Stokes-Brinkman-Darcy flows with H(div)-velocity fields. (English) Zbl 07801040 Int. J. Numer. Methods Eng. 125, No. 1, Article ID e7363, 36 p. (2024). MSC: 65N30 76S05 76D07 49M41 76M10 PDFBibTeX XMLCite \textit{P. G. S. Carvalho} et al., Int. J. Numer. Methods Eng. 125, No. 1, Article ID e7363, 36 p. (2024; Zbl 07801040) Full Text: DOI
Caucao, Sergio; Esparza, Johann An augmented mixed FEM for the convective Brinkman-Forchheimer problem: a priori and a posteriori error analysis. (English) Zbl 1522.65201 J. Comput. Appl. Math. 438, Article ID 115517, 27 p. (2024). MSC: 65N30 35Q79 65N12 65N15 76D07 76R05 PDFBibTeX XMLCite \textit{S. Caucao} and \textit{J. Esparza}, J. Comput. Appl. Math. 438, Article ID 115517, 27 p. (2024; Zbl 1522.65201) Full Text: DOI arXiv
Hu, Xiaozhe; Lee, Seulip; Mu, Lin; Yi, Son-Young Pressure-robust enriched Galerkin methods for the Stokes equations. (English) Zbl 1522.65213 J. Comput. Appl. Math. 436, Article ID 115449, 19 p. (2024). MSC: 65N30 65F08 65F10 65N12 76D07 76M10 PDFBibTeX XMLCite \textit{X. Hu} et al., J. Comput. Appl. Math. 436, Article ID 115449, 19 p. (2024; Zbl 1522.65213) Full Text: DOI arXiv
Huynh, Phuoc-Toan; Cao, Yanzhao; Hoang, Thi-Thao-phuong Operator splitting and local time-stepping methods for transport problems in fractured porous media. (English) Zbl 07787319 Commun. Comput. Phys. 34, No. 5, 1215-1246 (2023). MSC: 65M55 65N30 76S05 35K20 PDFBibTeX XMLCite \textit{P.-T. Huynh} et al., Commun. Comput. Phys. 34, No. 5, 1215--1246 (2023; Zbl 07787319) Full Text: DOI
Schenk, Christina; Portillo, David; Romero, Ignacio Linking discrete and continuum diffusion models: well-posedness and stable finite element discretizations. (English) Zbl 07769152 Int. J. Numer. Methods Eng. 124, No. 9, 2105-2121 (2023). MSC: 76M10 76R50 65N30 65N12 PDFBibTeX XMLCite \textit{C. Schenk} et al., Int. J. Numer. Methods Eng. 124, No. 9, 2105--2121 (2023; Zbl 07769152) Full Text: DOI arXiv
Huynh, Phuoc-Toan; Cao, Yanzhao; Hoang, Thi-Thao-Phuong Fast and accuracy-preserving domain decomposition methods for reduced fracture models with nonconforming time grids. (English) Zbl 07708365 J. Sci. Comput. 96, No. 1, Paper No. 23, 26 p. (2023). MSC: 65M55 65N30 76S05 35K20 PDFBibTeX XMLCite \textit{P.-T. Huynh} et al., J. Sci. Comput. 96, No. 1, Paper No. 23, 26 p. (2023; Zbl 07708365) Full Text: DOI arXiv
Fumagalli, Alessio; Patacchini, Francesco Saverio Well-posedness and variational numerical scheme for an adaptive model in highly heterogeneous porous media. (English) Zbl 07649265 J. Comput. Phys. 475, Article ID 111844, 30 p. (2023). MSC: 65Nxx 76Sxx 76Mxx PDFBibTeX XMLCite \textit{A. Fumagalli} and \textit{F. S. Patacchini}, J. Comput. Phys. 475, Article ID 111844, 30 p. (2023; Zbl 07649265) Full Text: DOI arXiv
Abreu, E.; Ferraz, P.; Espírito Santo, A. M.; Pereira, F.; Santos, L. G. C.; Sousa, F. S. Recursive formulation and parallel implementation of multiscale mixed methods. (English) Zbl 07625379 J. Comput. Phys. 473, Article ID 111681, 21 p. (2023). MSC: 65Nxx 76Mxx 76Sxx PDFBibTeX XMLCite \textit{E. Abreu} et al., J. Comput. Phys. 473, Article ID 111681, 21 p. (2023; Zbl 07625379) Full Text: DOI arXiv
Lepe, Felipe; Rivera, Gonzalo; Vellojin, Jesus Error estimates for a vorticity-based velocity-stress formulation of the Stokes eigenvalue problem. (English) Zbl 1497.65214 J. Comput. Appl. Math. 420, Article ID 114798, 20 p. (2023). MSC: 65N25 35Q35 65N15 65N30 65N50 76D07 PDFBibTeX XMLCite \textit{F. Lepe} et al., J. Comput. Appl. Math. 420, Article ID 114798, 20 p. (2023; Zbl 1497.65214) Full Text: DOI arXiv
Han, Yihui Pressure robust hybrid mixed finite element method for Darcy-Forchheimer model. (English) Zbl 1513.65463 Int. J. Comput. Math. 99, No. 11, 2349-2365 (2022). MSC: 65N30 65N15 76S05 35Q35 PDFBibTeX XMLCite \textit{Y. Han}, Int. J. Comput. Math. 99, No. 11, 2349--2365 (2022; Zbl 1513.65463) Full Text: DOI
Formaggia, Luca; Fumagalli, Alessio; Scotti, Anna A multi-layer reactive transport model for fractured porous media. (English) Zbl 1515.76162 Math. Eng. (Springfield) 4, No. 1, Paper No. 8, 32 p. (2022). MSC: 76V05 76S05 76M10 76M20 PDFBibTeX XMLCite \textit{L. Formaggia} et al., Math. Eng. (Springfield) 4, No. 1, Paper No. 8, 32 p. (2022; Zbl 1515.76162) Full Text: DOI arXiv
Dassi, Franco; Fumagalli, Alessio; Scotti, Anna; Vacca, Giuseppe Bend 3D mixed virtual element method for Darcy problems. (English) Zbl 1524.65784 Comput. Math. Appl. 119, 1-12 (2022). MSC: 65N30 65N12 65N15 76M10 35J25 76S05 65N50 PDFBibTeX XMLCite \textit{F. Dassi} et al., Comput. Math. Appl. 119, 1--12 (2022; Zbl 1524.65784) Full Text: DOI arXiv
Hoang, Thi-Thao-Phuong Fully implicit local time-stepping methods for advection-diffusion problems in mixed formulations. (English) Zbl 1524.65925 Comput. Math. Appl. 118, 248-264 (2022). MSC: 65N55 65N30 65M55 65M12 76M10 65M06 65M60 76S05 35Q35 86A05 35Q86 PDFBibTeX XMLCite \textit{T.-T.-P. Hoang}, Comput. Math. Appl. 118, 248--264 (2022; Zbl 1524.65925) Full Text: DOI arXiv
Lepe, Felipe; Rivera, Gonzalo; Vellojin, Jesus Mixed methods for the velocity-pressure-pseudostress formulation of the Stokes eigenvalue problem. (English) Zbl 1491.35340 SIAM J. Sci. Comput. 44, No. 3, A1358-A1380 (2022). MSC: 35Q35 76D07 65N30 65N25 65N15 65N12 65N50 PDFBibTeX XMLCite \textit{F. Lepe} et al., SIAM J. Sci. Comput. 44, No. 3, A1358--A1380 (2022; Zbl 1491.35340) Full Text: DOI arXiv
Oyarzúa, Ricardo; Solano, Manuel; Zúñiga, Paulo Analysis of an unfitted mixed finite element method for a class of quasi-Newtonian Stokes flow. (English) Zbl 1524.65852 Comput. Math. Appl. 114, 225-243 (2022). MSC: 65N30 65N15 76M10 65N12 35J25 76D07 35Q35 PDFBibTeX XMLCite \textit{R. Oyarzúa} et al., Comput. Math. Appl. 114, 225--243 (2022; Zbl 1524.65852) Full Text: DOI
Álvarez, Mario; Colmenares, Eligio; Sequeira, Filánder A. Analysis of a semi-augmented mixed finite element method for double-diffusive natural convection in porous media. (English) Zbl 1524.65505 Comput. Math. Appl. 114, 112-131 (2022). MSC: 65M60 65N30 76M10 65N15 65N12 76S05 76R10 35A01 35A02 35B65 80A19 47H10 65M06 35Q35 PDFBibTeX XMLCite \textit{M. Álvarez} et al., Comput. Math. Appl. 114, 112--131 (2022; Zbl 1524.65505) Full Text: DOI arXiv
Fumagalli, Alessio; Patacchini, Francesco Saverio Model adaptation for non-linear elliptic equations in mixed form: existence of solutions and numerical strategies. (English) Zbl 1484.76074 ESAIM, Math. Model. Numer. Anal. 56, No. 2, 565-592 (2022). MSC: 76S05 76M30 76M10 35Q35 PDFBibTeX XMLCite \textit{A. Fumagalli} and \textit{F. S. Patacchini}, ESAIM, Math. Model. Numer. Anal. 56, No. 2, 565--592 (2022; Zbl 1484.76074) Full Text: DOI arXiv
Fumagalli, Alessio; Scotti, Anna A mathematical model for thermal single-phase flow and reactive transport in fractured porous media. (English) Zbl 07508521 J. Comput. Phys. 434, Article ID 110205, 26 p. (2021). MSC: 65Nxx 76Sxx 76Mxx PDFBibTeX XMLCite \textit{A. Fumagalli} and \textit{A. Scotti}, J. Comput. Phys. 434, Article ID 110205, 26 p. (2021; Zbl 07508521) Full Text: DOI arXiv
Barrios, Tomás P.; Behrens, Edwin M.; Bustinza, Rommel An a posteriori error estimate for a dual mixed method applied to Stokes system with non-null source terms. (English) Zbl 1490.65259 Adv. Comput. Math. 47, No. 5, Paper No. 77, 34 p. (2021). MSC: 65N30 65N15 65N50 76D07 PDFBibTeX XMLCite \textit{T. P. Barrios} et al., Adv. Comput. Math. 47, No. 5, Paper No. 77, 34 p. (2021; Zbl 1490.65259) Full Text: DOI
Hodneland, Erlend; Hu, Xiaozhe; Nordbotten, Jan M. Well-posedness and discretization for a class of models for mixed-dimensional problems with high-dimensional gap. (English) Zbl 1478.65127 SIAM J. Appl. Math. 81, No. 5, 2218-2245 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N08 65N22 65N15 35A01 35A02 76S05 76Z05 92C35 35Q92 PDFBibTeX XMLCite \textit{E. Hodneland} et al., SIAM J. Appl. Math. 81, No. 5, 2218--2245 (2021; Zbl 1478.65127) Full Text: DOI arXiv
Fumagalli, Alessio; Scotti, Anna; Formaggia, Luca Performances of the mixed virtual element method on complex grids for underground flow. (English) Zbl 1470.86003 Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 299-329 (2021). MSC: 86-08 86A10 76M10 76S05 PDFBibTeX XMLCite \textit{A. Fumagalli} et al., SEMA SIMAI Springer Ser. 27, 299--329 (2021; Zbl 1470.86003) Full Text: DOI arXiv
El Moutea, Omar; El Amri, Hassan Combined mixed finite element and nonconforming finite volume methods for flow and transport in porous media. (English) Zbl 1477.65210 Analysis, München 41, No. 3, 123-144 (2021). MSC: 65N30 76M10 76M12 76S05 76R50 PDFBibTeX XMLCite \textit{O. El Moutea} and \textit{H. El Amri}, Analysis, München 41, No. 3, 123--144 (2021; Zbl 1477.65210) Full Text: DOI
Arshad, Muhammad; Park, Eun-Jae; Shin, Dongwook Multiscale mortar mixed domain decomposition approximations of nonlinear parabolic equations. (English) Zbl 1524.65509 Comput. Math. Appl. 97, 375-385 (2021). MSC: 65M60 65N30 76S05 65N15 76M10 35J25 65M06 76M20 35K55 65N55 PDFBibTeX XMLCite \textit{M. Arshad} et al., Comput. Math. Appl. 97, 375--385 (2021; Zbl 1524.65509) Full Text: DOI
Dolejší, Vít; Roskovec, Filip; Vlasák, Miloslav A posteriori error estimates for higher order space-time Galerkin discretizations of nonlinear parabolic problems. (English) Zbl 1480.65252 SIAM J. Numer. Anal. 59, No. 3, 1486-1509 (2021). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65M15 76R50 35K57 PDFBibTeX XMLCite \textit{V. Dolejší} et al., SIAM J. Numer. Anal. 59, No. 3, 1486--1509 (2021; Zbl 1480.65252) Full Text: DOI
Colmenares, Eligio; Gatica, Gabriel N.; Miranda, Willian Analysis of an augmented fully-mixed finite element method for a bioconvective flows model. (English) Zbl 1468.65186 J. Comput. Appl. Math. 393, Article ID 113504, 25 p. (2021). MSC: 65N30 65N12 65N15 76D05 76T20 76M10 92C17 35Q35 35Q92 PDFBibTeX XMLCite \textit{E. Colmenares} et al., J. Comput. Appl. Math. 393, Article ID 113504, 25 p. (2021; Zbl 1468.65186) Full Text: DOI
Borio, Andrea; Fumagalli, Alessio; Scialò, Stefano Comparison of the response to geometrical complexity of methods for unstationary simulations in discrete fracture networks with conforming, polygonal, and non-matching grids. (English) Zbl 1453.86005 Comput. Geosci. 25, No. 1, 143-162 (2021). MSC: 86-08 76S05 86A05 PDFBibTeX XMLCite \textit{A. Borio} et al., Comput. Geosci. 25, No. 1, 143--162 (2021; Zbl 1453.86005) Full Text: DOI
El Moutea, O.; El Amri, H.; El Akkad, A. Finite element method for the Stokes-Darcy problem with a new boundary condition. (Russian. English summary) Zbl 1502.76059 Sib. Zh. Vychisl. Mat. 23, No. 2, 165-181 (2020). MSC: 76M10 76S05 65N12 PDFBibTeX XMLCite \textit{O. El Moutea} et al., Sib. Zh. Vychisl. Mat. 23, No. 2, 165--181 (2020; Zbl 1502.76059) Full Text: DOI MNR
Ambartsumyan, Ilona; Khattatov, Eldar; Yotov, Ivan A coupled multipoint stress-multipoint flux mixed finite element method for the Biot system of poroelasticity. (English) Zbl 1506.74385 Comput. Methods Appl. Mech. Eng. 372, Article ID 113407, 29 p. (2020). MSC: 74S05 76M10 65M60 74F10 76S05 PDFBibTeX XMLCite \textit{I. Ambartsumyan} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113407, 29 p. (2020; Zbl 1506.74385) Full Text: DOI arXiv
Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Sánchez, Nestor A fully-mixed formulation for the steady double-diffusive convection system based upon Brinkman-Forchheimer equations. (English) Zbl 1456.65155 J. Sci. Comput. 85, No. 2, Paper No. 44, 36 p. (2020). MSC: 65N30 65N12 65N15 80A19 76S05 76R05 76R50 76D07 35B45 35A01 35A02 35Q79 35Q35 PDFBibTeX XMLCite \textit{S. Caucao} et al., J. Sci. Comput. 85, No. 2, Paper No. 44, 36 p. (2020; Zbl 1456.65155) Full Text: DOI
Almonacid, Javier A.; Gatica, Gabriel N.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo A new mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent viscosity. (English) Zbl 1446.65155 Netw. Heterog. Media 15, No. 2, 215-245 (2020). MSC: 65N30 65N12 65N15 35Q79 80A19 76R05 35B45 35A01 35A02 PDFBibTeX XMLCite \textit{J. A. Almonacid} et al., Netw. Heterog. Media 15, No. 2, 215--245 (2020; Zbl 1446.65155) Full Text: DOI
Fumagalli, Alessio; Scotti, Anna A multi-layer reduced model for flow in porous media with a fault and surrounding damage zones. (English) Zbl 1439.76151 Comput. Geosci. 24, No. 3, 1347-1360 (2020). MSC: 76S05 76M10 76M30 86-08 PDFBibTeX XMLCite \textit{A. Fumagalli} and \textit{A. Scotti}, Comput. Geosci. 24, No. 3, 1347--1360 (2020; Zbl 1439.76151) Full Text: DOI arXiv
Ben Gharbia, Ibtihel; Dabaghi, Jad; Martin, Vincent; Vohralík, Martin A posteriori error estimates for a compositional two-phase flow with nonlinear complementarity constraints. (English) Zbl 1439.76150 Comput. Geosci. 24, No. 3, 1031-1055 (2020). MSC: 76S05 76M10 65G99 PDFBibTeX XMLCite \textit{I. Ben Gharbia} et al., Comput. Geosci. 24, No. 3, 1031--1055 (2020; Zbl 1439.76150) Full Text: DOI HAL
Barrios, Tomás P.; Cascón, J. Manuel; González, María On an adaptive stabilized mixed finite element method for the Oseen problem with mixed boundary conditions. (English) Zbl 1442.76061 Comput. Methods Appl. Mech. Eng. 365, Article ID 113007, 20 p. (2020). MSC: 76M10 65N30 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{T. P. Barrios} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 113007, 20 p. (2020; Zbl 1442.76061) Full Text: DOI
Oyarzúa, Ricardo; Solano, Manuel; Zúñiga, Paulo A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow. (English) Zbl 1441.76070 Comput. Methods Appl. Mech. Eng. 360, Article ID 112780, 40 p. (2020). MSC: 76M10 65N30 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{R. Oyarzúa} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112780, 40 p. (2020; Zbl 1441.76070) Full Text: DOI
Colmenares, Eligio; Gatica, Gabriel N.; Oyarzúa, Ricardo A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model. (English) Zbl 1442.65354 Comput. Math. Appl. 77, No. 3, 693-714 (2019). MSC: 65N30 65N15 35Q35 76D99 80A19 PDFBibTeX XMLCite \textit{E. Colmenares} et al., Comput. Math. Appl. 77, No. 3, 693--714 (2019; Zbl 1442.65354) Full Text: DOI
Ambartsumyan, Ilona; Khattatov, Eldar; Lee, Jeonghun J.; Yotov, Ivan Higher order multipoint flux mixed finite element methods on quadrilaterals and hexahedra. (English) Zbl 1425.76124 Math. Models Methods Appl. Sci. 29, No. 6, 1037-1077 (2019). MSC: 76M10 76M12 65N08 65N12 65N15 65N30 76S05 PDFBibTeX XMLCite \textit{I. Ambartsumyan} et al., Math. Models Methods Appl. Sci. 29, No. 6, 1037--1077 (2019; Zbl 1425.76124) Full Text: DOI arXiv
Barrios, Tomás P.; Bustinza, Rommel; García, Galina C.; González, María An a posteriori error analysis of a velocity-pseudostress formulation of the generalized Stokes problem. (English) Zbl 1415.76446 J. Comput. Appl. Math. 357, 349-365 (2019). MSC: 76M10 65N15 65N30 65N50 76D07 PDFBibTeX XMLCite \textit{T. P. Barrios} et al., J. Comput. Appl. Math. 357, 349--365 (2019; Zbl 1415.76446) Full Text: DOI
Köppel, Markus; Martin, Vincent; Jaffré, Jérôme; Roberts, Jean E. A Lagrange multiplier method for a discrete fracture model for flow in porous media. (English) Zbl 1414.76059 Comput. Geosci. 23, No. 2, 239-253 (2019). MSC: 76S05 76M10 PDFBibTeX XMLCite \textit{M. Köppel} et al., Comput. Geosci. 23, No. 2, 239--253 (2019; Zbl 1414.76059) Full Text: DOI HAL
Gatica, Gabriel N.; Gomez-Vargas, Bryan; Ruiz-Baier, Ricardo Analysis and mixed-primal finite element discretisations for stress-assisted diffusion problems. (English) Zbl 1440.76062 Comput. Methods Appl. Mech. Eng. 337, 411-438 (2018). MSC: 76M10 65N30 65N12 65N15 65N22 76D07 76R05 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Comput. Methods Appl. Mech. Eng. 337, 411--438 (2018; Zbl 1440.76062) Full Text: DOI Link
Vohralík, Martin; Yousef, Soleiman A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows. (English) Zbl 1439.74472 Comput. Methods Appl. Mech. Eng. 331, 728-760 (2018). MSC: 74S05 76M10 65N30 65N15 74F10 76S05 PDFBibTeX XMLCite \textit{M. Vohralík} and \textit{S. Yousef}, Comput. Methods Appl. Mech. Eng. 331, 728--760 (2018; Zbl 1439.74472) Full Text: DOI HAL
Alvarez, Mario; Gatica, Gabriel N.; Ruiz-Baier, Ricardo A posteriori error estimation for an augmented mixed-primal method applied to sedimentation-consolidation systems. (English) Zbl 1415.65213 J. Comput. Phys. 367, 322-346 (2018). MSC: 65M15 76M10 65M60 76T20 PDFBibTeX XMLCite \textit{M. Alvarez} et al., J. Comput. Phys. 367, 322--346 (2018; Zbl 1415.65213) Full Text: DOI
Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations. (English) Zbl 1426.65172 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1947-1980 (2018). Reviewer: Gerald Hofmann (Leipzig) MSC: 65N30 65N12 65N15 35Q79 80A20 76R05 76D07 35B45 76A10 PDFBibTeX XMLCite \textit{S. Caucao} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1947--1980 (2018; Zbl 1426.65172) Full Text: DOI
Almonacid, Javier A.; Gatica, Gabriel N.; Oyarzúa, Ricardo A mixed-primal finite element method for the Boussinesq problem with temperature-dependent viscosity. (English) Zbl 1404.65248 Calcolo 55, No. 3, Paper No. 36, 42 p. (2018). MSC: 65N30 65N12 65N15 35Q79 80A20 76R05 76D07 35Q30 PDFBibTeX XMLCite \textit{J. A. Almonacid} et al., Calcolo 55, No. 3, Paper No. 36, 42 p. (2018; Zbl 1404.65248) Full Text: DOI
Brauss, K. D.; Meir, A. J. On a parallel, 3-dimensional, finite element solver for viscous, resistive, stationary magnetohydrodynamics equations: velocity-current formulation. (English) Zbl 1395.76038 Appl. Numer. Math. 133, 130-143 (2018). MSC: 76M10 65Y05 65M60 76W05 35Q35 PDFBibTeX XMLCite \textit{K. D. Brauss} and \textit{A. J. Meir}, Appl. Numer. Math. 133, 130--143 (2018; Zbl 1395.76038) Full Text: DOI
Beaudoin, Anthony; Huberson, Serge; de Dreuzy, Jean-Raynald Adapting particle methods to model the dynamics of concentration gradients and chemical reactivity under advective diffusive transport conditions. (English) Zbl 1380.76136 J. Comput. Phys. 354, 196-210 (2018). MSC: 76R50 76M28 76S05 PDFBibTeX XMLCite \textit{A. Beaudoin} et al., J. Comput. Phys. 354, 196--210 (2018; Zbl 1380.76136) Full Text: DOI HAL
Hoang, Thi-Thao-Phuong; Japhet, Caroline; Kern, Michel; Roberts, Jean E. Space-time domain decomposition for advection-diffusion problems in mixed formulations. (English) Zbl 07313831 Math. Comput. Simul. 137, 366-389 (2017). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{T.-T.-P. Hoang} et al., Math. Comput. Simul. 137, 366--389 (2017; Zbl 07313831) Full Text: DOI arXiv
Ahmed, Elyes; Jaffré, Jérôme; Roberts, Jean E. A reduced fracture model for two-phase flow with different rock types. (English) Zbl 07313815 Math. Comput. Simul. 137, 49-70 (2017). MSC: 76-XX 86-XX PDFBibTeX XMLCite \textit{E. Ahmed} et al., Math. Comput. Simul. 137, 49--70 (2017; Zbl 07313815) Full Text: DOI HAL
Barrios, Tomás P.; Cascón, J. Manuel; González, María Augmented mixed finite element method for the Oseen problem: a priori and a posteriori error analyses. (English) Zbl 1439.76049 Comput. Methods Appl. Mech. Eng. 313, 216-238 (2017). MSC: 76M10 65N30 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{T. P. Barrios} et al., Comput. Methods Appl. Mech. Eng. 313, 216--238 (2017; Zbl 1439.76049) Full Text: DOI Link
Garnotel, Simon; Salmon, Stéphanie; Balédent, Olivier Numerical modeling of the intracranial pressure using Windkessel models. (English) Zbl 1405.76073 MathS In Action 8, 9-25 (2017). MSC: 76Z05 PDFBibTeX XMLCite \textit{S. Garnotel} et al., MathS In Action 8, 9--25 (2017; Zbl 1405.76073) Full Text: DOI
Rui, Hongxing; Pan, Hao A block-centered finite difference method for slightly compressible Darcy-Forchheimer flow in porous media. (English) Zbl 1433.76116 J. Sci. Comput. 73, No. 1, 70-92 (2017). MSC: 76M20 65M06 65M12 65M15 76S05 PDFBibTeX XMLCite \textit{H. Rui} and \textit{H. Pan}, J. Sci. Comput. 73, No. 1, 70--92 (2017; Zbl 1433.76116) Full Text: DOI
Colmenares, Eligio; Gatica, Gabriel N.; Oyarzúa, Ricardo A posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model. (English) Zbl 1457.65191 Calcolo 54, No. 3, 1055-1095 (2017). MSC: 65N30 65N12 65N15 80A19 76R10 76D07 35Q79 35Q35 PDFBibTeX XMLCite \textit{E. Colmenares} et al., Calcolo 54, No. 3, 1055--1095 (2017; Zbl 1457.65191) Full Text: DOI
Arbogast, Todd; Taicher, Abraham L. A cell-centered finite difference method for a degenerate elliptic equation arising from two-phase mixtures. (English) Zbl 1396.76065 Comput. Geosci. 21, No. 4, 701-712 (2017). MSC: 76M20 65N06 35J70 65N12 76S05 76T99 PDFBibTeX XMLCite \textit{T. Arbogast} and \textit{A. L. Taicher}, Comput. Geosci. 21, No. 4, 701--712 (2017; Zbl 1396.76065) Full Text: DOI
Colmenares, Eligio; Gatica, Gabriel N.; Oyarzúa, Ricardo An augmented fully-mixed finite element method for the stationary Boussinesq problem. (English) Zbl 1397.76065 Calcolo 54, No. 1, 167-205 (2017). MSC: 76M10 65N30 65N12 65N15 35Q79 80A20 76R05 76D07 PDFBibTeX XMLCite \textit{E. Colmenares} et al., Calcolo 54, No. 1, 167--205 (2017; Zbl 1397.76065) 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
Del Pra, Marco; Fumagalli, Alessio; Scotti, Anna Well posedness of fully coupled fracture/bulk Darcy flow with XFEM. (English) Zbl 1362.76057 SIAM J. Numer. Anal. 55, No. 2, 785-811 (2017). MSC: 76S05 65N30 65N12 PDFBibTeX XMLCite \textit{M. Del Pra} et al., SIAM J. Numer. Anal. 55, No. 2, 785--811 (2017; Zbl 1362.76057) Full Text: DOI
Fernández-Cara, Enrique; Münch, Arnaud; Souza, Diego A. On the numerical controllability of the two-dimensional heat, Stokes and Navier-Stokes equations. (English) Zbl 1401.76086 J. Sci. Comput. 70, No. 2, 819-858 (2017). MSC: 76M10 93B05 65M60 76D05 76D07 PDFBibTeX XMLCite \textit{E. Fernández-Cara} et al., J. Sci. Comput. 70, No. 2, 819--858 (2017; Zbl 1401.76086) Full Text: DOI
Discacciati, Marco; Oyarzúa, Ricardo A conforming mixed finite element method for the Navier-Stokes/Darcy coupled problem. (English) Zbl 1381.76162 Numer. Math. 135, No. 2, 571-606 (2017). MSC: 76M10 65N30 65N12 65N15 76D05 76S05 PDFBibTeX XMLCite \textit{M. Discacciati} and \textit{R. Oyarzúa}, Numer. Math. 135, No. 2, 571--606 (2017; Zbl 1381.76162) Full Text: DOI
Di Pietro, Daniele A.; Ern, Alexandre; Linke, Alexander; Schieweck, Friedhelm A discontinuous skeletal method for the viscosity-dependent Stokes problem. (English) Zbl 1436.76022 Comput. Methods Appl. Mech. Eng. 306, 175-195 (2016). MSC: 76M10 65N30 65N12 76D07 PDFBibTeX XMLCite \textit{D. A. Di Pietro} et al., Comput. Methods Appl. Mech. Eng. 306, 175--195 (2016; Zbl 1436.76022) Full Text: DOI HAL
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
Gatica, Gabriel N.; Sequeira, Filánder A. A priori and a posteriori error analyses of an augmented HDG method for a class of quasi-Newtonian Stokes flows. (English) Zbl 1397.76069 J. Sci. Comput. 69, No. 3, 1192-1250 (2016). MSC: 76M10 65N30 65N15 65N50 76D07 PDFBibTeX XMLCite \textit{G. N. Gatica} and \textit{F. A. Sequeira}, J. Sci. Comput. 69, No. 3, 1192--1250 (2016; Zbl 1397.76069) Full Text: DOI
Bociu, Lorena; Guidoboni, Giovanna; Sacco, Riccardo; Webster, Justin T. Analysis of nonlinear poro-elastic and poro-visco-elastic models. (English) Zbl 1361.35139 Arch. Ration. Mech. Anal. 222, No. 3, 1445-1519 (2016). Reviewer: S. C. Rajvanshi (Chandigarh) MSC: 35Q35 76A10 76S05 76M10 PDFBibTeX XMLCite \textit{L. Bociu} et al., Arch. Ration. Mech. Anal. 222, No. 3, 1445--1519 (2016; Zbl 1361.35139) Full Text: DOI Link
Arbogast, Todd; Taicher, Abraham L. A linear degenerate elliptic equation arising from two-phase mixtures. (English) Zbl 1457.65177 SIAM J. Numer. Anal. 54, No. 5, 3105-3122 (2016). MSC: 65N30 65N12 35J70 76S05 76M10 74F10 86A40 86A60 PDFBibTeX XMLCite \textit{T. Arbogast} and \textit{A. L. Taicher}, SIAM J. Numer. Anal. 54, No. 5, 3105--3122 (2016; Zbl 1457.65177) Full Text: DOI
Thi Thao Phuong Hoang; Japhet, Caroline; Kern, Michel; Roberts, Jean Ventcell conditions with mixed formulations for flow in porous media. (English) Zbl 1383.76383 Dickopf, Thomas (ed.) et al., Domain decomposition methods in science and engineering XXII. Proceedings of the 22nd international conference on domain decomposition methods, Lugano, Switzerland, September 16–20, 2013. Cham: Springer (ISBN 978-3-319-18826-3/hbk; 978-3-319-18827-0/ebook). Lecture Notes in Computational Science and Engineering 104, 531-540 (2016). MSC: 76M25 65N55 76S05 PDFBibTeX XMLCite \textit{Thi Thao Phuong Hoang} et al., Lect. Notes Comput. Sci. Eng. 104, 531--540 (2016; Zbl 1383.76383) Full Text: DOI HAL
Antonietti, Paola F.; Formaggia, Luca; Scotti, Anna; Verani, Marco; Verzott, Nicola Mimetic finite difference approximation of flows in fractured porous media. (English) Zbl 1381.76231 ESAIM, Math. Model. Numer. Anal. 50, No. 3, 809-832 (2016). MSC: 76M20 65N06 76S05 65N30 35Q86 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 3, 809--832 (2016; Zbl 1381.76231) Full Text: DOI
Hoang, Thao-Phuong; Japhet, Caroline; Kern, Michel; Roberts, Jean E. Space-time domain decomposition for reduced fracture models in mixed formulation. (English) Zbl 1382.76164 SIAM J. Numer. Anal. 54, No. 1, 288-316 (2016). MSC: 76M10 65M60 35K20 65M50 65M55 74R10 76S05 PDFBibTeX XMLCite \textit{T.-P. Hoang} et al., SIAM J. Numer. Anal. 54, No. 1, 288--316 (2016; Zbl 1382.76164) Full Text: DOI
Gatica, Gabriel N.; Ruiz-Baier, Ricardo; Tierra, Giordano A mixed finite element method for Darcy’s equations with pressure dependent porosity. (English) Zbl 1329.76169 Math. Comput. 85, No. 297, 1-33 (2016). MSC: 76M10 76S05 65N15 65N30 74F10 74S05 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Math. Comput. 85, No. 297, 1--33 (2016; Zbl 1329.76169) Full Text: DOI Link
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle \( \mathcal{RT}_k\) mixed finite elements for some nonlinear problems. (English) Zbl 07313415 Math. Comput. Simul. 118, 186-197 (2015). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{R. Eymard} et al., Math. Comput. Simul. 118, 186--197 (2015; Zbl 07313415) Full Text: DOI
Barrios, Tomás Patricio; Cascón, José Manuel; González, María A posteriori error estimation of a stabilized mixed finite element method for Darcy flow. (English) Zbl 1427.76117 Knobloch, Petr (ed.), Boundary and interior layers, computational and asymptotic methods – BAIL 2014. Proceedings of the conference, Prague, Czech Republic, September 15–19, 2014. Cham: Springer. Lect. Notes Comput. Sci. Eng. 108, 13-23 (2015). MSC: 76M10 65N30 76S05 PDFBibTeX XMLCite \textit{T. P. Barrios} et al., Lect. Notes Comput. Sci. Eng. 108, 13--23 (2015; Zbl 1427.76117) Full Text: DOI
Arbogast, Todd; Xiao, Hailong Two-level mortar domain decomposition preconditioners for heterogeneous elliptic problems. (English) Zbl 1425.65042 Comput. Methods Appl. Mech. Eng. 292, 221-242 (2015). MSC: 65F08 65N30 65N55 76S05 PDFBibTeX XMLCite \textit{T. Arbogast} and \textit{H. Xiao}, Comput. Methods Appl. Mech. Eng. 292, 221--242 (2015; Zbl 1425.65042) Full Text: DOI
Gatica, Gabriel N.; Gatica, Luis F.; Sequeira, Filánder A. Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow. (English) Zbl 1423.76425 Comput. Methods Appl. Mech. Eng. 289, 104-130 (2015). MSC: 76S05 76M10 65N30 74F10 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Comput. Methods Appl. Mech. Eng. 289, 104--130 (2015; Zbl 1423.76425) Full Text: DOI Link
Barrios, Tomás P.; Cascón, J. Manuel; González, María A posteriori error analysis of an augmented mixed finite element method for Darcy flow. (English) Zbl 1423.76209 Comput. Methods Appl. Mech. Eng. 283, 909-922 (2015). MSC: 76M10 65N30 65N12 65N15 76S05 PDFBibTeX XMLCite \textit{T. P. Barrios} et al., Comput. Methods Appl. Mech. Eng. 283, 909--922 (2015; Zbl 1423.76209) Full Text: DOI Link
Kikinzon, Evgeny; Kuznetsov, Yuri; Maliassov, Serguei; Sumant, Prasad Modeling fluid flow and compaction in sedimentary basins using mixed finite elements. (English) Zbl 1395.65079 Comput. Geosci. 19, No. 2, 285-298 (2015). MSC: 65M60 86-08 35Q35 74F10 76S05 PDFBibTeX XMLCite \textit{E. Kikinzon} et al., Comput. Geosci. 19, No. 2, 285--298 (2015; Zbl 1395.65079) Full Text: DOI
Gatica, Gabriel N.; Sequeira, Filánder A. Analysis of an augmented HDG method for a class of quasi-Newtonian Stokes flows. (English) Zbl 1330.76067 J. Sci. Comput. 65, No. 3, 1270-1308 (2015). MSC: 76M10 65N30 76D07 PDFBibTeX XMLCite \textit{G. N. Gatica} and \textit{F. A. Sequeira}, J. Sci. Comput. 65, No. 3, 1270--1308 (2015; Zbl 1330.76067) Full Text: DOI Link
Ern, Alexandre; Vohralík, Martin Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations. (English) Zbl 1312.76026 SIAM J. Numer. Anal. 53, No. 2, 1058-1081 (2015). MSC: 76M10 65N15 65N30 PDFBibTeX XMLCite \textit{A. Ern} and \textit{M. Vohralík}, SIAM J. Numer. Anal. 53, No. 2, 1058--1081 (2015; Zbl 1312.76026) Full Text: DOI
Gatica, Gabriel N.; Márquez, Antonio; Meddahi, Salim Analysis of an augmented fully-mixed finite element method for a three-dimensional fluid-solid interaction problem. (English) Zbl 1499.65660 Int. J. Numer. Anal. Model. 11, No. 3, 624-656 (2014). MSC: 65N30 65N12 65N15 74F10 74B05 35J05 76Q05 76N10 76M10 74S05 35Q35 35Q74 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Int. J. Numer. Anal. Model. 11, No. 3, 624--656 (2014; Zbl 1499.65660) Full Text: Link
Sacco, Riccardo; Carichino, Lucia; de Falco, Carlo; Verri, Maurizio; Agostini, Francesco; Gradinger, Thomas A multiscale thermo-fluid computational model for a two-phase cooling system. (English) Zbl 1423.76459 Comput. Methods Appl. Mech. Eng. 282, 239-268 (2014). MSC: 76T10 74F10 80A20 65N30 PDFBibTeX XMLCite \textit{R. Sacco} et al., Comput. Methods Appl. Mech. Eng. 282, 239--268 (2014; Zbl 1423.76459) Full Text: DOI arXiv
Gatica, Gabriel N.; Márquez, Antonio; Oyarzúa, Ricardo; Rebolledo, Ramiro Analysis of an augmented fully-mixed approach for the coupling of quasi-Newtonian fluids and porous media. (English) Zbl 1296.76147 Comput. Methods Appl. Mech. Eng. 270, 76-112 (2014). MSC: 76S05 76M10 65N30 74F10 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Comput. Methods Appl. Mech. Eng. 270, 76--112 (2014; Zbl 1296.76147) Full Text: DOI Link
Gatica, Gabriel N.; Gatica, Luis F.; Márquez, Antonio Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow. (English) Zbl 1426.74232 Numer. Math. 126, No. 4, 635-677 (2014). MSC: 74M10 76S05 65N15 65N30 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Numer. Math. 126, No. 4, 635--677 (2014; Zbl 1426.74232) Full Text: DOI Link
Cancès, Clément; Pop, Iuliu Sorin; Vohralík, Martin An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow. (English) Zbl 1430.76369 Math. Comput. 83, No. 285, 153-188 (2014). MSC: 76M12 76T99 76S05 65M15 PDFBibTeX XMLCite \textit{C. Cancès} et al., Math. Comput. 83, No. 285, 153--188 (2014; Zbl 1430.76369) Full Text: DOI
Traverso, L.; Phillips, T. N.; Yang, Y. Mixed finite element methods for groundwater flow in heterogeneous aquifers. (English) Zbl 1391.76755 Comput. Fluids 88, 60-80 (2013). MSC: 76S05 76M10 65N30 PDFBibTeX XMLCite \textit{L. Traverso} et al., Comput. Fluids 88, 60--80 (2013; Zbl 1391.76755) Full Text: DOI Link
Pan, Hao; Rui, Hongxing A mixed element method for Darcy-Forchheimer incompressible miscible displacement problem. (English) Zbl 1286.76090 Comput. Methods Appl. Mech. Eng. 264, 1-11 (2013). MSC: 76M10 76S05 65M60 74F10 PDFBibTeX XMLCite \textit{H. Pan} and \textit{H. Rui}, Comput. Methods Appl. Mech. Eng. 264, 1--11 (2013; Zbl 1286.76090) Full Text: DOI
Pan, Hao; Rui, Hongxing Mixed element method for two-dimensional Darcy-Forchheimer model. (English) Zbl 1326.76065 J. Sci. Comput. 52, No. 3, 563-587 (2012). MSC: 76M10 65N30 65N15 76S05 PDFBibTeX XMLCite \textit{H. Pan} and \textit{H. Rui}, J. Sci. Comput. 52, No. 3, 563--587 (2012; Zbl 1326.76065) Full Text: DOI
Barrios, Tomás P.; Bustinza, Rommel; García, Galina C.; Hernández, Erwin On stabilized mixed methods for generalized Stokes problem based on the velocity-pseudostress formulation: a priori error estimates. (English) Zbl 1253.76053 Comput. Methods Appl. Mech. Eng. 237-240, 78-87 (2012). MSC: 76M10 65M12 PDFBibTeX XMLCite \textit{T. P. Barrios} et al., Comput. Methods Appl. Mech. Eng. 237--240, 78--87 (2012; Zbl 1253.76053) Full Text: DOI
Bergamaschi, Luca; Martínez, Ángeles RMCP: relaxed mixed constraint preconditioners for saddle point linear systems arising in geomechanics. (English) Zbl 1253.74032 Comput. Methods Appl. Mech. Eng. 221-222, 54-62 (2012). MSC: 74F10 74L10 76S05 65F08 65M60 PDFBibTeX XMLCite \textit{L. Bergamaschi} and \textit{Á. Martínez}, Comput. Methods Appl. Mech. Eng. 221--222, 54--62 (2012; Zbl 1253.74032) Full Text: DOI
Barrios, Tomás P.; Bustinza, Rommel An a posteriori error analysis of an augmented discontinuous Galerkin formulation for Darcy flow. (English) Zbl 1332.76029 Numer. Math. 120, No. 2, 231-269 (2012). MSC: 76M10 76S05 65N30 65N15 PDFBibTeX XMLCite \textit{T. P. Barrios} and \textit{R. Bustinza}, Numer. Math. 120, No. 2, 231--269 (2012; Zbl 1332.76029) Full Text: DOI Link
Vohralík, Martin Guaranteed and fully robust a posteriori error estimates for conforming discretizations of diffusion problems with discontinuous coefficients. (English) Zbl 1270.65064 J. Sci. Comput. 46, No. 3, 397-438 (2011). MSC: 65N15 65N30 65N08 76M10 76M12 76R50 PDFBibTeX XMLCite \textit{M. Vohralík}, J. Sci. Comput. 46, No. 3, 397--438 (2011; Zbl 1270.65064) Full Text: DOI HAL
Ben Gharbia, Ibtihel; Jaffré, Jérôme; Kumar, N. Suresh; Roberts, Jean E. Benchmark 3D: a composite hexahedral mixed finite element. (English) Zbl 1246.76043 Fořt, Jaroslav (ed.) et al., Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Berlin: Springer (ISBN 978-3-642-20670-2/hbk; 978-3-642-20671-9/ebook). Springer Proceedings in Mathematics 4, 969-976 (2011). MSC: 76M10 PDFBibTeX XMLCite \textit{I. Ben Gharbia} et al., Springer Proc. Math. 4, 969--976 (2011; Zbl 1246.76043) Full Text: DOI
Thomas, Sunil G.; Wheeler, Mary F. Enhanced velocity mixed finite element methods for modeling coupled flow and transport on non-matching multiblock grids. Analysis and applications to transport of reactive species in multiphase flow through porous mediaEnhanced velocity mixed finite element methods for modeling coupled flow and transport on non-matching multiblock grids analysis and applications to transport of reactive species in multiphase flow through porous media. (Enhanced velocity mixed finite element methods for modeling coupled flow and transport on non-matching multiblock grids analysis and applications to transport of reactive species in multiphase flow through porous media.) (English) Zbl 1348.76101 Comput. Geosci. 15, No. 4, 605-625 (2011). MSC: 76M10 76V05 76S05 76T99 PDFBibTeX XMLCite \textit{S. G. Thomas} and \textit{M. F. Wheeler}, Comput. Geosci. 15, No. 4, 605--625 (2011; Zbl 1348.76101) Full Text: DOI
Gatica, Gabriel N.; Márquez, Antonio; Sánchez, Manuel A. A priori and a posteriori error analyses of a velocity-pseudostress formulation for a class of quasi-Newtonian Stokes flows. (English) Zbl 1228.76084 Comput. Methods Appl. Mech. Eng. 200, No. 17-20, 1619-1636 (2011). MSC: 76M10 76D07 65N15 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Comput. Methods Appl. Mech. Eng. 200, No. 17--20, 1619--1636 (2011; Zbl 1228.76084) Full Text: DOI
Howell, Jason S.; Walkington, Noel J. Inf-sup conditions for twofold saddle point problems. (English) Zbl 1230.65128 Numer. Math. 118, No. 4, 663-693 (2011). Reviewer: Petr Sváček (Praha) MSC: 65N30 65F10 74S05 76M10 PDFBibTeX XMLCite \textit{J. S. Howell} and \textit{N. J. Walkington}, Numer. Math. 118, No. 4, 663--693 (2011; Zbl 1230.65128) Full Text: DOI
El Ossmani, Mustapha A convergence of a MFE-FV method for immiscible compressible flow in heterogeneous porous media. (English) Zbl 1311.76056 Math. Comput. Simul. 81, No. 10, 2103-2128 (2011). MSC: 76M10 76M12 76S05 76N15 76T10 65M12 PDFBibTeX XMLCite \textit{M. El Ossmani}, Math. Comput. Simul. 81, No. 10, 2103--2128 (2011; Zbl 1311.76056) Full Text: DOI
Brera, Marco; Jerome, Joseph W.; Mori, Yoichiro; Sacco, Riccardo A conservative and monotone mixed-hybridized finite element approximation of transport problems in heterogeneous domains. (English) Zbl 1231.76138 Comput. Methods Appl. Mech. Eng. 199, No. 41-44, 2709-2720 (2010). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{M. Brera} et al., Comput. Methods Appl. Mech. Eng. 199, No. 41--44, 2709--2720 (2010; Zbl 1231.76138) Full Text: DOI
Gatica, Gabriel N.; Márquez, Antonio; Sánchez, Manuel A. Analysis of a velocity-pressure-pseudostress formulation for the stationary Stokes equations. (English) Zbl 1227.76030 Comput. Methods Appl. Mech. Eng. 199, No. 17-20, 1064-1079 (2010). MSC: 76M10 76D07 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Comput. Methods Appl. Mech. Eng. 199, No. 17--20, 1064--1079 (2010; Zbl 1227.76030) Full Text: DOI
Girault, Vivette; Murat, François; Salgado, Abner Finite element discretization of Darcy’s equations with pressure-dependent porosity. (English) Zbl 1271.76166 ESAIM, Math. Model. Numer. Anal. 44, No. 6, 1155-1191 (2010). MSC: 76M10 76S05 65N30 65N12 35Q35 PDFBibTeX XMLCite \textit{V. Girault} et al., ESAIM, Math. Model. Numer. Anal. 44, No. 6, 1155--1191 (2010; Zbl 1271.76166) Full Text: DOI EuDML
Ferronato, Massimiliano; Castelletto, Nicola; Gambolati, Giuseppe A fully coupled 3-D mixed finite element model of Biot consolidation. (English) Zbl 1305.76055 J. Comput. Phys. 229, No. 12, 4813-4830 (2010). MSC: 76M10 PDFBibTeX XMLCite \textit{M. Ferronato} et al., J. Comput. Phys. 229, No. 12, 4813--4830 (2010; Zbl 1305.76055) Full Text: DOI
Fontaine, Vincent; Younes, Anis Computational issues of hybrid and multipoint mixed methods for groundwater flow in anisotropic media. (English) Zbl 1398.76104 Comput. Geosci. 14, No. 1, 171-181 (2010). MSC: 76M10 76S05 PDFBibTeX XMLCite \textit{V. Fontaine} and \textit{A. Younes}, Comput. Geosci. 14, No. 1, 171--181 (2010; Zbl 1398.76104) Full Text: DOI
Li, Jichun; Arbogast, Todd; Huang, Yunqing Mixed methods using standard conforming finite elements. (English) Zbl 1229.76052 Comput. Methods Appl. Mech. Eng. 198, No. 5-8, 680-692 (2009). MSC: 76M10 76S05 PDFBibTeX XMLCite \textit{J. Li} et al., Comput. Methods Appl. Mech. Eng. 198, No. 5--8, 680--692 (2009; Zbl 1229.76052) Full Text: DOI
Gatica, Gabriel N.; Hsiao, George C.; Meddahi, Salim A residual-based a posteriori error estimator for a two-dimensional fluid-solid interaction problem. (English) Zbl 1247.76051 Numer. Math. 114, No. 1, 63-106 (2009). MSC: 76M10 76Q05 65N30 65N15 74F10 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Numer. Math. 114, No. 1, 63--106 (2009; Zbl 1247.76051) Full Text: DOI
Arbogast, Todd; Gomez, Mario San Martin A discretization and multigrid solver for a Darcy-Stokes system of three dimensional vuggy porous media. (English) Zbl 1338.76047 Comput. Geosci. 13, No. 3, 331-348 (2009). MSC: 76M10 76S05 PDFBibTeX XMLCite \textit{T. Arbogast} and \textit{M. S. M. Gomez}, Comput. Geosci. 13, No. 3, 331--348 (2009; Zbl 1338.76047) Full Text: DOI
Cheddadi, Ibrahim; Fučík, Radek; Prieto, Mariana I.; Vohralík, Martin Guaranteed and robust a posteriori error estimates for singularly perturbed reaction-diffusion problems. (English) Zbl 1190.65164 ESAIM, Math. Model. Numer. Anal. 43, No. 5, 867-888 (2009). Reviewer: Norikazu Saito (Tokyo) MSC: 65N15 65N30 76S05 65N08 35J25 35B25 PDFBibTeX XMLCite \textit{I. Cheddadi} et al., ESAIM, Math. Model. Numer. Anal. 43, No. 5, 867--888 (2009; Zbl 1190.65164) Full Text: DOI EuDML