Paquet, Luc; Korikache, Réda The complete discretization of the dual mixed method for the heat diffusion equation in a polygonal domain. (English) Zbl 07318351 Math. Comput. Simul. 186, 145-160 (2021). MSC: 65N 35 35J 35B 35R PDF BibTeX XML Cite \textit{L. Paquet} and \textit{R. Korikache}, Math. Comput. Simul. 186, 145--160 (2021; Zbl 07318351) Full Text: DOI
González, María; Strugaru, Magdalena Stabilization and a posteriori error analysis of a mixed FEM for convection-diffusion problems with mixed boundary conditions. (English) Zbl 1446.65169 J. Comput. Appl. Math. 381, Article ID 113015, 26 p. (2021). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{M. González} and \textit{M. Strugaru}, J. Comput. Appl. Math. 381, Article ID 113015, 26 p. (2021; Zbl 1446.65169) Full Text: DOI
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 PDF BibTeX XML Cite \textit{S. Caucao} et al., J. Sci. Comput. 85, No. 2, Paper No. 44, 36 p. (2020; Zbl 1456.65155) Full Text: DOI
de Carvalho, Pitágoras P.; Fernández-Cara, Enrique Numerical Stackelberg-Nash control for the heat equation. (English) Zbl 07271866 SIAM J. Sci. Comput. 42, No. 5, A2678-A2700 (2020). MSC: 35Q93 35Q79 93B05 49J20 90C29 35K05 PDF BibTeX XML Cite \textit{P. P. de Carvalho} and \textit{E. Fernández-Cara}, SIAM J. Sci. Comput. 42, No. 5, A2678--A2700 (2020; Zbl 07271866) Full Text: DOI
Zhang, Shun Robust and local optimal a priori error estimates for interface problems with low regularity: mixed finite element approximations. (English) Zbl 1448.35500 J. Sci. Comput. 84, No. 2, Paper No. 40, 16 p. (2020). MSC: 35Q68 35J25 35B45 35B65 65N30 65N15 65J10 PDF BibTeX XML Cite \textit{S. Zhang}, J. Sci. Comput. 84, No. 2, Paper No. 40, 16 p. (2020; Zbl 1448.35500) 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 PDF BibTeX XML Cite \textit{J. A. Almonacid} et al., Netw. Heterog. Media 15, No. 2, 215--245 (2020; Zbl 1446.65155) Full Text: DOI
Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters. (English) Zbl 1446.35083 Math. Comput. 89, No. 326, 2563-2611 (2020). MSC: 35P15 65N15 65N25 65N30 35J25 PDF BibTeX XML Cite \textit{E. Cancès} et al., Math. Comput. 89, No. 326, 2563--2611 (2020; Zbl 1446.35083) 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 PDF BibTeX XML Cite \textit{A. Fumagalli} and \textit{A. Scotti}, Comput. Geosci. 24, No. 3, 1347--1360 (2020; Zbl 1439.76151) Full Text: DOI
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 PDF BibTeX XML Cite \textit{I. Ben Gharbia} et al., Comput. Geosci. 24, No. 3, 1031--1055 (2020; Zbl 1439.76150) Full Text: DOI
Arshad, Muhammad A priori error estimates of multiblock mortar expanded mixed method for elliptic problems. (English) Zbl 1446.65157 Appl. Numer. Math. 157, 670-686 (2020). MSC: 65N30 65N55 65N12 65N15 35J15 PDF BibTeX XML Cite \textit{M. Arshad}, Appl. Numer. Math. 157, 670--686 (2020; Zbl 1446.65157) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{R. Oyarzúa} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112780, 40 p. (2020; Zbl 1441.76070) Full Text: DOI
Daniel, Patrik; Ern, Alexandre; Vohralík, Martin An adaptive \(hp\)-refinement strategy with inexact solvers and computable guaranteed bound on the error reduction factor. (English) Zbl 1441.65095 Comput. Methods Appl. Mech. Eng. 359, Article ID 112607, 30 p. (2020). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{P. Daniel} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112607, 30 p. (2020; Zbl 1441.65095) Full Text: DOI
Arshad, Muhammad; Park, Eun-Jae Multiscale mortar expanded mixed discretization of nonlinear elliptic problems. (English) Zbl 1433.65330 Appl. Math. Comput. 371, Article ID 124932, 23 p. (2020). MSC: 65N55 65N30 65N15 35J25 PDF BibTeX XML Cite \textit{M. Arshad} and \textit{E.-J. Park}, Appl. Math. Comput. 371, Article ID 124932, 23 p. (2020; Zbl 1433.65330) Full Text: DOI
Mallik, Gouranga; Vohralík, Martin; Yousef, Soleiman Goal-oriented a posteriori error estimation for conforming and nonconforming approximations with inexact solvers. (English) Zbl 07126157 J. Comput. Appl. Math. 366, Article ID 112367, 20 p. (2020). MSC: 65 76 PDF BibTeX XML Cite \textit{G. Mallik} et al., J. Comput. Appl. Math. 366, Article ID 112367, 20 p. (2020; Zbl 07126157) Full Text: DOI
Gatica, Gabriel N.; Gomez-Vargas, Bryan; Ruiz-Baier, Ricardo Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems. (English) Zbl 1442.74153 Comput. Math. Appl. 77, No. 5, 1312-1330 (2019). MSC: 74N25 74A10 35Q74 65N30 PDF BibTeX XML Cite \textit{G. N. Gatica} et al., Comput. Math. Appl. 77, No. 5, 1312--1330 (2019; Zbl 1442.74153) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{I. Ambartsumyan} et al., Math. Models Methods Appl. Sci. 29, No. 6, 1037--1077 (2019; Zbl 1425.76124) Full Text: DOI
Dubois, Francois; Greff, Isabelle; Pierre, Charles Raviart-Thomas finite elements of Petrov-Galerkin type. (English) Zbl 1427.65335 ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1553-1576 (2019). MSC: 65N08 65N12 65N30 35J25 35J05 PDF BibTeX XML Cite \textit{F. Dubois} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1553--1576 (2019; Zbl 1427.65335) Full Text: DOI
Repin, Sergey Poincaré type inequalities for vector functions with zero mean normal traces on the boundary and applications to interpolation methods. (English) Zbl 1416.35016 Chetverushkin, B. N. (ed.) et al., Contributions to partial differential equations and applications. Invited papers of the conferences ‘Contributions to partial differential equations’, Université Pierre et Marie Curie, Paris, France, August 31 – September 1, 2015 and ‘Applied and computational mathematics’, University of Houston, Texas, USA, February 26–27, 2016. Cham: Springer. Comput. Methods Appl. Sci. 47, 411-432 (2019). MSC: 35A23 PDF BibTeX XML Cite \textit{S. Repin}, Comput. Methods Appl. Sci. 47, 411--432 (2019; Zbl 1416.35016) Full Text: DOI
Oyarzúa, Ricardo; Solano, Manuel; Zúñiga, Paulo A high order mixed-FEM for diffusion problems on curved domains. (English) Zbl 1419.65119 J. Sci. Comput. 79, No. 1, 49-78 (2019). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{R. Oyarzúa} et al., J. Sci. Comput. 79, No. 1, 49--78 (2019; Zbl 1419.65119) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{M. Köppel} et al., Comput. Geosci. 23, No. 2, 239--253 (2019; Zbl 1414.76059) Full Text: DOI
Alduncin, Gonzalo Optimality condition analysis of macro-hybrid mixed variational inclusions. (English) Zbl 1418.49028 J. Math. Anal. Appl. 475, No. 1, 313-336 (2019). MSC: 49K27 74B20 49J53 PDF BibTeX XML Cite \textit{G. Alduncin}, J. Math. Anal. Appl. 475, No. 1, 313--336 (2019; Zbl 1418.49028) Full Text: DOI
Hong, Qingguo; Wang, Fei; Wu, Shuonan; Xu, Jinchao A unified study of continuous and discontinuous Galerkin methods. (English) Zbl 1412.65214 Sci. China, Math. 62, No. 1, 1-32 (2019). MSC: 65N30 65N12 65N15 35J15 35J30 PDF BibTeX XML Cite \textit{Q. Hong} et al., Sci. China, Math. 62, No. 1, 1--32 (2019; Zbl 1412.65214) Full Text: DOI arXiv
Li, Na; Lin, Ping; Gao, Fuzheng An expanded mixed finite element method for two-dimensional Sobolev equations. (English) Zbl 1412.65221 J. Comput. Appl. Math. 348, 342-355 (2019). MSC: 65N30 65M06 65M15 PDF BibTeX XML Cite \textit{N. Li} et al., J. Comput. Appl. Math. 348, 342--355 (2019; Zbl 1412.65221) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. Vohralík} and \textit{S. Yousef}, Comput. Methods Appl. Mech. Eng. 331, 728--760 (2018; Zbl 1439.74472) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. Alvarez} et al., J. Comput. Phys. 367, 322--346 (2018; Zbl 1415.65213) Full Text: DOI
Ciarlet Jr., Patrick; Vohralík, Martin Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients. (English) Zbl 1417.65187 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 2037-2064 (2018). Reviewer: Marius Ghergu (Dublin) MSC: 65N15 65N30 65N50 78A48 PDF BibTeX XML Cite \textit{P. Ciarlet Jr.} and \textit{M. Vohralík}, ESAIM, Math. Model. Numer. Anal. 52, No. 5, 2037--2064 (2018; Zbl 1417.65187) 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 PDF BibTeX XML Cite \textit{S. Caucao} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1947--1980 (2018; Zbl 1426.65172) Full Text: DOI
Arshad, Muhammad; Park, Eun-Jae; Shin, Dong-wook Analysis of multiscale mortar mixed approximation of nonlinear elliptic equations. (English) Zbl 1409.65106 Comput. Math. Appl. 75, No. 2, 401-418 (2018). MSC: 65N55 65N12 65N15 35J57 35Q35 PDF BibTeX XML Cite \textit{M. Arshad} et al., Comput. Math. Appl. 75, No. 2, 401--418 (2018; Zbl 1409.65106) 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 PDF BibTeX XML Cite \textit{J. A. Almonacid} et al., Calcolo 55, No. 3, Paper No. 36, 42 p. (2018; Zbl 1404.65248) Full Text: DOI
Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework. (English) Zbl 1402.65137 Numer. Math. 140, No. 4, 1033-1079 (2018). MSC: 65N15 35P15 65N25 65N30 65N50 PDF BibTeX XML Cite \textit{E. Cancès} et al., Numer. Math. 140, No. 4, 1033--1079 (2018; Zbl 1402.65137) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{A. Beaudoin} et al., J. Comput. Phys. 354, 196--210 (2018; Zbl 1380.76136) Full Text: DOI
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 PDF BibTeX XML Cite \textit{T. P. Barrios} et al., Comput. Methods Appl. Mech. Eng. 313, 216--238 (2017; Zbl 1439.76049) Full Text: DOI
Garnotel, Simon; Salmon, Stéphanie; Balédent, Olivier Numerical modeling of the intracranial pressure using Windkessel models. (English) Zbl 1405.76073 MathS In Action 8, No. 1, 9-25 (2017). MSC: 76Z05 PDF BibTeX XML Cite \textit{S. Garnotel} et al., MathS In Action 8, No. 1, 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 PDF BibTeX XML Cite \textit{H. Rui} and \textit{H. Pan}, J. Sci. Comput. 73, No. 1, 70--92 (2017; Zbl 1433.76116) Full Text: DOI
Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: conforming approximations. (English) Zbl 06779777 SIAM J. Numer. Anal. 55, No. 5, 2228-2254 (2017). MSC: 35P15 65N15 65N25 65N30 65N50 PDF BibTeX XML Cite \textit{E. Cancès} et al., SIAM J. Numer. Anal. 55, No. 5, 2228--2254 (2017; Zbl 06779777) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{M. Del Pra} et al., SIAM J. Numer. Anal. 55, No. 2, 785--811 (2017; Zbl 1362.76057) Full Text: DOI
Heuer, Norbert; Karkulik, Michael Discontinuous Petrov-Galerkin boundary elements. (English) Zbl 1364.65268 Numer. Math. 135, No. 4, 1011-1043 (2017). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N38 65N30 65N12 PDF BibTeX XML Cite \textit{N. Heuer} and \textit{M. Karkulik}, Numer. Math. 135, No. 4, 1011--1043 (2017; Zbl 1364.65268) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{D. A. Di Pietro} et al., Comput. Methods Appl. Mech. Eng. 306, 175--195 (2016; Zbl 1436.76022) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{G. N. Gatica} and \textit{F. A. Sequeira}, J. Sci. Comput. 69, No. 3, 1192--1250 (2016; Zbl 1397.76069) Full Text: DOI
Kikinzon, E.; Kuznetsov, Y.; Liu, Zhuo Monotonicity in \(\mathrm{RT}_0\) and PWCF methods on triangular and tetrahedral meshes. (English) Zbl 1416.65455 Lobachevskii J. Math. 37, No. 5, 550-560 (2016). MSC: 65N30 35J25 PDF BibTeX XML Cite \textit{E. Kikinzon} et al., Lobachevskii J. Math. 37, No. 5, 550--560 (2016; Zbl 1416.65455) Full Text: DOI
Arbogast, Todd; Correa, Maicon R. Two families of \(H(\operatorname{div})\) mixed finite elements on quadrilaterals of minimal dimension. (English) Zbl 1353.65118 SIAM J. Numer. Anal. 54, No. 6, 3332-3356 (2016). MSC: 65N30 35J25 65N12 PDF BibTeX XML Cite \textit{T. Arbogast} and \textit{M. R. Correa}, SIAM J. Numer. Anal. 54, No. 6, 3332--3356 (2016; Zbl 1353.65118) 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 PDF BibTeX XML Cite \textit{L. Bociu} et al., Arch. Ration. Mech. Anal. 222, No. 3, 1445--1519 (2016; Zbl 1361.35139) Full Text: DOI
Arbogast, Todd; Taicher, Abraham L. A linear degenerate elliptic equation arising from two-phase mixtures. (English) Zbl 06645037 SIAM J. Numer. Anal. 54, No. 5, 3105-3122 (2016). MSC: 65N30 65N12 35J70 76S05 76M10 74F10 86A40 86A60 PDF BibTeX XML Cite \textit{T. Arbogast} and \textit{A. L. Taicher}, SIAM J. Numer. Anal. 54, No. 5, 3105--3122 (2016; Zbl 06645037) Full Text: DOI
Dolejší, Vít; Ern, Alexandre; Vohralík, Martin \(hp\)-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems. (English) Zbl 1351.65082 SIAM J. Sci. Comput. 38, No. 5, A3220-A3246 (2016). MSC: 65N15 35J25 35J05 65N30 65N12 65N50 PDF BibTeX XML Cite \textit{V. Dolejší} et al., SIAM J. Sci. Comput. 38, No. 5, A3220--A3246 (2016; Zbl 1351.65082) Full Text: DOI
Kalchev, D. Z.; Lee, C. S.; Villa, U.; Efendiev, Y.; Vassilevski, P. S. Upscaling of mixed finite element discretization problems by the spectral AMGe method. (English) Zbl 1348.65165 SIAM J. Sci. Comput. 38, No. 5, A2912-A2933 (2016). MSC: 65N30 65N55 35J25 65F10 65N20 PDF BibTeX XML Cite \textit{D. Z. Kalchev} et al., SIAM J. Sci. Comput. 38, No. 5, A2912--A2933 (2016; Zbl 1348.65165) Full Text: DOI
Brunner, Fabian; Fischer, Julian; Knabner, Peter Analysis of a modified second-order mixed hybrid \(\mathrm{BDM}_1\) finite element method for transport problems in divergence form. (English) Zbl 1346.65049 SIAM J. Numer. Anal. 54, No. 4, 2359-2378 (2016). MSC: 65M60 65M12 65M15 35L20 PDF BibTeX XML Cite \textit{F. Brunner} et al., SIAM J. Numer. Anal. 54, No. 4, 2359--2378 (2016; Zbl 1346.65049) Full Text: DOI
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 PDF BibTeX XML Cite \textit{P. F. Antonietti} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 3, 809--832 (2016; Zbl 1381.76231) Full Text: DOI
Li, Binjie; Xie, Xiaoping Analysis of a family of HDG methods for second order elliptic problems. (English) Zbl 1382.65412 J. Comput. Appl. Math. 307, 37-51 (2016). MSC: 65N30 65N12 PDF BibTeX XML Cite \textit{B. Li} and \textit{X. Xie}, J. Comput. Appl. Math. 307, 37--51 (2016; Zbl 1382.65412) Full Text: DOI arXiv
Duan, Huoyuan; Qiu, Fengjuan; Tan, Roger C. E.; Zheng, Weiying An adaptive FEM for a Maxwell interface problem. (English) Zbl 1343.78019 J. Sci. Comput. 67, No. 2, 669-704 (2016). MSC: 78M10 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{H. Duan} et al., J. Sci. Comput. 67, No. 2, 669--704 (2016; Zbl 1343.78019) Full Text: DOI
Christiansen, Snorre H.; Rapetti, Francesca On high order finite element spaces of differential forms. (English) Zbl 1332.65163 Math. Comput. 85, No. 298, 517-548 (2016). MSC: 65N30 58A10 PDF BibTeX XML Cite \textit{S. H. Christiansen} and \textit{F. Rapetti}, Math. Comput. 85, No. 298, 517--548 (2016; Zbl 1332.65163) Full Text: DOI
Barrios, Tomás P.; Behrens, Edwin; Bustinza, Rommel A note on a priori error estimates for augmented mixed methods. (English) Zbl 1334.65102 Appl. Math. Lett. 57, 139-144 (2016). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{T. P. Barrios} et al., Appl. Math. Lett. 57, 139--144 (2016; Zbl 1334.65102) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{G. N. Gatica} et al., Math. Comput. 85, No. 297, 1--33 (2016; Zbl 1329.76169) Full Text: DOI
Domínguez, Carolina; Gatica, Gabriel N.; Márquez, Antonio A residual-based a posteriori error estimator for the plane linear elasticity problem with pure traction boundary conditions. (English) Zbl 1327.65217 J. Comput. Appl. Math. 292, 486-504 (2016). MSC: 65N15 65N30 65N50 74B20 PDF BibTeX XML Cite \textit{C. Domínguez} et al., J. Comput. Appl. Math. 292, 486--504 (2016; Zbl 1327.65217) Full Text: DOI
Zhao, Xiukun; Chen, Yanli; Lv, Junliang A mixed nonoverlapping covolume method on quadrilateral grids for elliptic problems. (English) Zbl 1327.65209 J. Comput. Appl. Math. 292, 23-40 (2016). MSC: 65N08 65N12 65N15 PDF BibTeX XML Cite \textit{X. Zhao} et al., J. Comput. Appl. Math. 292, 23--40 (2016; Zbl 1327.65209) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{G. N. Gatica} et al., Comput. Methods Appl. Mech. Eng. 289, 104--130 (2015; Zbl 1423.76425) Full Text: DOI
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 PDF BibTeX XML Cite \textit{T. P. Barrios} et al., Comput. Methods Appl. Mech. Eng. 283, 909--922 (2015; Zbl 1423.76209) Full Text: DOI
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 PDF BibTeX XML Cite \textit{E. Kikinzon} et al., Comput. Geosci. 19, No. 2, 285--298 (2015; Zbl 1395.65079) Full Text: DOI
Sacco, Riccardo; Manganini, Fabio; Jerome, Joseph W. Modeling and simulation of thermo-fluid-electrochemical ion flow in biological channels. (English) Zbl 1347.92008 Mol. Based Math. Biol. 3, 78-111 (2015). MSC: 92C05 80A20 80A30 PDF BibTeX XML Cite \textit{R. Sacco} et al., Mol. Based Math. Biol. 3, 78--111 (2015; Zbl 1347.92008) Full Text: DOI arXiv
Gatica, Gabriel N.; Gatica, Luis F.; Sequeira, Filánder A. A \(\mathbb {RT}_k-\mathbf P_k\) approximation for linear elasticity yielding a broken \(H(\mathrm{div})\) convergent postprocessed stress. (English) Zbl 1381.74018 Appl. Math. Lett. 49, 133-140 (2015). MSC: 74B05 74S05 65N12 65N30 PDF BibTeX XML Cite \textit{G. N. Gatica} et al., Appl. Math. Lett. 49, 133--140 (2015; Zbl 1381.74018) Full Text: DOI
Madureira, Alexandre L. Abstract multiscale-hybrid-mixed methods. (English) Zbl 1329.65297 Calcolo 52, No. 4, 543-557 (2015). MSC: 65N55 65N30 65Y05 35J25 PDF BibTeX XML Cite \textit{A. L. Madureira}, Calcolo 52, No. 4, 543--557 (2015; Zbl 1329.65297) Full Text: DOI
Zhao, Jikun; Chen, Shaochun; Zhang, Bei; Mao, Shipeng Robust a posteriori error estimates for conforming discretizations of diffusion problems with discontinuous coefficients on anisotropic meshes. (English) Zbl 1327.65223 J. Sci. Comput. 64, No. 2, 368-400 (2015). Reviewer: H. P. Dikshit (Bhopal) MSC: 65N15 65N30 65N06 65N08 35J25 35R05 65N50 PDF BibTeX XML Cite \textit{J. Zhao} et al., J. Sci. Comput. 64, No. 2, 368--400 (2015; Zbl 1327.65223) Full Text: DOI
Arbogast, T.; Estep, D.; Sheehan, B.; Tavener, S. A posteriori error estimates for mixed finite element and finite volume methods for parabolic problems coupled through a boundary. (English) Zbl 1322.65093 SIAM/ASA J. Uncertain. Quantif. 3, 169-198 (2015). MSC: 65M15 65M08 65M60 65M55 35K40 PDF BibTeX XML Cite \textit{T. Arbogast} et al., SIAM/ASA J. Uncertain. Quantif. 3, 169--198 (2015; Zbl 1322.65093) Full Text: DOI
Ben Belgacem, Faker; Bernardi, Christine; Jelassi, Faten; Mint Brahim, Maimouna Finite element methods for the temperature in composite media with contact resistance. (English) Zbl 1323.80004 J. Sci. Comput. 63, No. 2, 478-501 (2015). Reviewer: Ioana Dragomirescu (Stuttgart) MSC: 80M10 80A20 PDF BibTeX XML Cite \textit{F. Ben Belgacem} et al., J. Sci. Comput. 63, No. 2, 478--501 (2015; Zbl 1323.80004) Full Text: DOI
Zhang, Bei; Chen, Shaochun; Zhao, Jikun Guaranteed a posteriori error estimates for nonconforming finite element approximations to a singularly perturbed reaction-diffusion problem. (English) Zbl 1325.65159 Appl. Numer. Math. 94, 1-15 (2015). MSC: 65N30 65N15 35K57 PDF BibTeX XML Cite \textit{B. Zhang} et al., Appl. Numer. Math. 94, 1--15 (2015; Zbl 1325.65159) Full Text: DOI
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 PDF BibTeX XML Cite \textit{A. Ern} and \textit{M. Vohralík}, SIAM J. Numer. Anal. 53, No. 2, 1058--1081 (2015; Zbl 1312.76026) Full Text: DOI
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 PDF BibTeX XML Cite \textit{R. Sacco} et al., Comput. Methods Appl. Mech. Eng. 282, 239--268 (2014; Zbl 1423.76459) Full Text: DOI
Zhang, Bei; Chen, Shaochun; Zhao, Jikun A posteriori error estimation based on conservative flux reconstruction for nonconforming finite element approximations to a singularly perturbed reaction-diffusion problem on anisotropic meshes. (English) Zbl 1410.65427 Appl. Math. Comput. 232, 1062-1075 (2014). MSC: 65N15 65N30 35K57 PDF BibTeX XML Cite \textit{B. Zhang} et al., Appl. Math. Comput. 232, 1062--1075 (2014; Zbl 1410.65427) Full Text: DOI
Garralda-Guillem, A. I.; Ruiz Galán, M. Mixed variational formulations in locally convex spaces. (English) Zbl 1308.65197 J. Math. Anal. Appl. 414, No. 2, 825-849 (2014). MSC: 65N30 65N12 35J25 PDF BibTeX XML Cite \textit{A. I. Garralda-Guillem} and \textit{M. Ruiz Galán}, J. Math. Anal. Appl. 414, No. 2, 825--849 (2014; Zbl 1308.65197) Full Text: DOI
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 PDF BibTeX XML Cite \textit{G. N. Gatica} et al., Comput. Methods Appl. Mech. Eng. 270, 76--112 (2014; Zbl 1296.76147) Full Text: DOI
Zhao, Jikun; Chen, Shaochun Robust a posteriori error estimates for conforming discretizations of a singularly perturbed reaction-diffusion problem on anisotropic meshes. (English) Zbl 1295.65105 Adv. Comput. Math. 40, No. 4, 797-818 (2014). MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{J. Zhao} and \textit{S. Chen}, Adv. Comput. Math. 40, No. 4, 797--818 (2014; Zbl 1295.65105) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{L. Traverso} et al., Comput. Fluids 88, 60--80 (2013; Zbl 1391.76755) Full Text: DOI
Lipnikov, Konstantin; Reynolds, James; Nelson, Eric Mimetic discretization of two-dimensional magnetic diffusion equations. (English) Zbl 1349.78095 J. Comput. Phys. 247, 1-16 (2013). MSC: 78M20 65M06 PDF BibTeX XML Cite \textit{K. Lipnikov} et al., J. Comput. Phys. 247, 1--16 (2013; Zbl 1349.78095) Full Text: DOI
Jamelot, Erell; Ciarlet, Patrick Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation. (English) Zbl 1349.65428 J. Comput. Phys. 241, 445-463 (2013). MSC: 65M55 35K57 PDF BibTeX XML Cite \textit{E. Jamelot} and \textit{P. Ciarlet}, J. Comput. Phys. 241, 445--463 (2013; Zbl 1349.65428) Full Text: DOI
Gatica, Gabriel N.; Márquez, Antonio; Rudolph, Walter A priori and a posteriori error analyses of augmented twofold saddle point formulations for nonlinear elasticity problems. (English) Zbl 1286.74019 Comput. Methods Appl. Mech. Eng. 264, 23-48 (2013). MSC: 74B20 74S05 65F10 65N22 PDF BibTeX XML Cite \textit{G. N. Gatica} et al., Comput. Methods Appl. Mech. Eng. 264, 23--48 (2013; Zbl 1286.74019) Full Text: DOI
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 PDF BibTeX XML Cite \textit{H. Pan} and \textit{H. Rui}, Comput. Methods Appl. Mech. Eng. 264, 1--11 (2013; Zbl 1286.76090) Full Text: DOI
Igbida, Noureddine Evolution Monge-Kantorovich equation. (English) Zbl 1282.35213 J. Differ. Equations 255, No. 7, 1383-1407 (2013). MSC: 35K86 35K20 35B40 PDF BibTeX XML Cite \textit{N. Igbida}, J. Differ. Equations 255, No. 7, 1383--1407 (2013; Zbl 1282.35213) Full Text: DOI
Vabishchevich, Petr N. Splitting schemes for hyperbolic heat conduction equation. (English) Zbl 1278.65128 BIT 53, No. 3, 755-778 (2013). Reviewer: Jiguang Sun (Dover) MSC: 65M06 80A20 65M12 35L10 35K05 65M15 PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, BIT 53, No. 3, 755--778 (2013; Zbl 1278.65128) Full Text: DOI
Zhao, Qing-li; Li, Zong-cheng; Ding, You-zheng Expanded mixed finite element method for the two-dimensional Sobolev equation. (English) Zbl 1271.65130 J. Appl. Math. 2013, Article ID 934973, 9 p. (2013). MSC: 65M60 35L99 PDF BibTeX XML Cite \textit{Q.-l. Zhao} et al., J. Appl. Math. 2013, Article ID 934973, 9 p. (2013; Zbl 1271.65130) Full Text: DOI
Repin, S. I. Computable majorants of constants in the Poincaré and Friedrichs inequalities. (English. Russian original) Zbl 1278.35167 J. Math. Sci., New York 186, No. 2, 307-321 (2012); translation from Probl. Mat. Anal. 66, 153-165 (2012). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35P15 PDF BibTeX XML Cite \textit{S. I. Repin}, J. Math. Sci., New York 186, No. 2, 307--321 (2012; Zbl 1278.35167); translation from Probl. Mat. Anal. 66, 153--165 (2012) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{L. Bergamaschi} and \textit{Á. Martínez}, Comput. Methods Appl. Mech. Eng. 221--222, 54--62 (2012; Zbl 1253.74032) Full Text: DOI
Ruiz Galán, Manuel Characterization of the solvability of generalized constrained variational equations. (English) Zbl 1237.49019 Abstr. Appl. Anal. 2012, Article ID 247425, 36 p. (2012). MSC: 49J40 PDF BibTeX XML Cite \textit{M. Ruiz Galán}, Abstr. Appl. Anal. 2012, Article ID 247425, 36 p. (2012; Zbl 1237.49019) 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 PDF BibTeX XML Cite \textit{T. P. Barrios} and \textit{R. Bustinza}, Numer. Math. 120, No. 2, 231--269 (2012; Zbl 1332.76029) Full Text: DOI
Kocsán, Lajos György Derivation of a dual-mixed \(hp\)-finite element model for axisymmetrically loaded cylindrical shells. (English) Zbl 1271.74413 Arch. Appl. Mech. 81, No. 12, 1953-1971 (2011). MSC: 74S05 74K25 PDF BibTeX XML Cite \textit{L. G. Kocsán}, Arch. Appl. Mech. 81, No. 12, 1953--1971 (2011; Zbl 1271.74413) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. Vohralík}, J. Sci. Comput. 46, No. 3, 397--438 (2011; Zbl 1270.65064) Full Text: DOI