Lederer, Philip L.; Merdon, Christian Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations. (English) Zbl 07632529 J. Numer. Math. 30, No. 4, 267-294 (2022). MSC: 65-XX PDF BibTeX XML Cite \textit{P. L. Lederer} and \textit{C. Merdon}, J. Numer. Math. 30, No. 4, 267--294 (2022; Zbl 07632529) Full Text: DOI arXiv OpenURL
Berrone, Stefano; Canuto, Claudio; Pintore, Moreno Solving PDEs by variational physics-informed neural networks: an a posteriori error analysis. (English) Zbl 07603256 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 2, 575-595 (2022). MSC: 65N30 68T07 65K05 65N21 65N15 35A01 PDF BibTeX XML Cite \textit{S. Berrone} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 2, 575--595 (2022; Zbl 07603256) Full Text: DOI arXiv OpenURL
Abdulle, Assyr; de Souza, Giacomo Rosilho A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations. (English) Zbl 07517175 J. Comput. Phys. 451, Article ID 110894, 20 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDF BibTeX XML Cite \textit{A. Abdulle} and \textit{G. R. de Souza}, J. Comput. Phys. 451, Article ID 110894, 20 p. (2022; Zbl 07517175) Full Text: DOI arXiv OpenURL
Cao, Xiaoting; Zhang, Xiaohua; Shi, Xiaotao An adaptive variational multiscale element free Galerkin method based on the residual-based a posteriori error estimators for convection-diffusion-reaction problems. (English) Zbl 07496045 Eng. Anal. Bound. Elem. 136, 238-251 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{X. Cao} et al., Eng. Anal. Bound. Elem. 136, 238--251 (2022; Zbl 07496045) Full Text: DOI OpenURL
Zhu, Wanwan; Yang, Ying; Ji, Guanghua; Lu, Benzhuo Residual type a posteriori error estimates for the time-dependent Poisson-Nernst-Planck equations. (English) Zbl 1490.65218 J. Sci. Comput. 90, No. 1, Paper No. 27, 35 p. (2022). MSC: 65M60 65M15 PDF BibTeX XML Cite \textit{W. Zhu} et al., J. Sci. Comput. 90, No. 1, Paper No. 27, 35 p. (2022; Zbl 1490.65218) Full Text: DOI OpenURL
Tayeq, Hatim; Bergam, Amal; El Harrak, Anouar; Khomsi, Kenza Self-adaptive algorithm based on a posteriori analysis of the error applied to air quality forecasting using the finite volume method. (English) Zbl 07440429 Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2557-2570 (2021). MSC: 65-XX 91Bxx PDF BibTeX XML Cite \textit{H. Tayeq} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2557--2570 (2021; Zbl 07440429) Full Text: DOI OpenURL
Abdulle, Assyr; Garegnani, Giacomo A probabilistic finite element method based on random meshes: a posteriori error estimators and Bayesian inverse problems. (English) Zbl 07415259 Comput. Methods Appl. Mech. Eng. 384, Article ID 113961, 29 p. (2021). MSC: 62F15 65N21 65N30 65N50 65N75 PDF BibTeX XML Cite \textit{A. Abdulle} and \textit{G. Garegnani}, Comput. Methods Appl. Mech. Eng. 384, Article ID 113961, 29 p. (2021; Zbl 07415259) Full Text: DOI arXiv OpenURL
Mao, Wenting; Wang, Huasheng; Chen, Chuanjun A-posteriori error estimations based on postprocessing technique for two-sided fractional differential equations. (English) Zbl 1467.65072 Appl. Numer. Math. 167, 73-91 (2021). MSC: 65L10 34A08 65L60 65L70 PDF BibTeX XML Cite \textit{W. Mao} et al., Appl. Numer. Math. 167, 73--91 (2021; Zbl 1467.65072) Full Text: DOI OpenURL
Kim, Dohyun; Pani, Amiya K.; Park, Eun-Jae Morley finite element methods for the stationary quasi-geostrophic equation. (English) Zbl 07340462 Comput. Methods Appl. Mech. Eng. 375, Article ID 113639, 21 p. (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{D. Kim} et al., Comput. Methods Appl. Mech. Eng. 375, Article ID 113639, 21 p. (2021; Zbl 07340462) Full Text: DOI OpenURL
Li, Yukun; Zhang, Yi Analysis of adaptive two-grid finite element algorithms for linear and nonlinear problems. (English) Zbl 1475.65214 SIAM J. Sci. Comput. 43, No. 2, A908-A928 (2021). Reviewer: Vit Dolejsi (Praha) MSC: 65N55 65N50 65N30 65N12 65N15 65N22 PDF BibTeX XML Cite \textit{Y. Li} and \textit{Y. Zhang}, SIAM J. Sci. Comput. 43, No. 2, A908--A928 (2021; Zbl 1475.65214) Full Text: DOI arXiv OpenURL
Erath, Christoph; Gantner, Gregor; Praetorius, Dirk Optimal convergence behavior of adaptive FEM driven by simple \((h-h/2)\)-type error estimators. (English) Zbl 1443.65294 Comput. Math. Appl. 79, No. 3, 623-642 (2020). MSC: 65N12 65N30 PDF BibTeX XML Cite \textit{C. Erath} et al., Comput. Math. Appl. 79, No. 3, 623--642 (2020; Zbl 1443.65294) Full Text: DOI arXiv OpenURL
Erath, Christoph; Praetorius, Dirk Adaptive vertex-centered finite volume methods for general second-order linear elliptic partial differential equations. (English) Zbl 1466.65167 IMA J. Numer. Anal. 39, No. 2, 983-1008 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N15 65N12 65N50 35J15 PDF BibTeX XML Cite \textit{C. Erath} and \textit{D. Praetorius}, IMA J. Numer. Anal. 39, No. 2, 983--1008 (2019; Zbl 1466.65167) Full Text: DOI arXiv OpenURL
Pranjal; Silvester, David Balanced iterative solvers for linear nonsymmetric systems and nonlinear systems with PDE origins: efficient black-box stopping criteria. (English) Zbl 07129358 J. Sci. Comput. 81, No. 1, 271-290 (2019). MSC: 47-XX 28-XX 46-XX 46Bxx 28-01 47-01 46B10 46-01 PDF BibTeX XML Cite \textit{Pranjal} and \textit{D. Silvester}, J. Sci. Comput. 81, No. 1, 271--290 (2019; Zbl 07129358) Full Text: DOI Link OpenURL
Wang, Fei; Han, Weimin Reliable and efficient a posteriori error estimates of DG methods for a simplified frictional contact problem. (English) Zbl 1412.65193 Int. J. Numer. Anal. Model. 16, No. 1, 49-62 (2019). MSC: 65N15 65N30 49J40 35J86 35Q74 74M10 74M15 74S05 PDF BibTeX XML Cite \textit{F. Wang} and \textit{W. Han}, Int. J. Numer. Anal. Model. 16, No. 1, 49--62 (2019; Zbl 1412.65193) Full Text: arXiv Link OpenURL
Zhao, Lina; Park, Eun-Jae A priori and a posteriori error analysis of a staggered discontinuous Galerkin method for convection dominant diffusion equations. (English) Zbl 1452.65363 J. Comput. Appl. Math. 346, 63-83 (2019). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{E.-J. Park}, J. Comput. Appl. Math. 346, 63--83 (2019; Zbl 1452.65363) Full Text: DOI OpenURL
Kohls, Kristina; Kreuzer, Christian; Rösch, Arnd; Siebert, Kunibert G. Convergence of adaptive finite elements for optimal control problems with control constraints. (English) Zbl 1408.49025 North-West. Eur. J. Math. 4, 157-184 (2018). MSC: 49M25 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{K. Kohls} et al., North-West. Eur. J. Math. 4, 157--184 (2018; Zbl 1408.49025) Full Text: Link OpenURL
Buffa, Annalisa; Garau, Eduardo M. A posteriori error estimators for hierarchical B-spline discretizations. (English) Zbl 1398.65291 Math. Models Methods Appl. Sci. 28, No. 8, 1453-1480 (2018). MSC: 65N30 65D07 65N50 65N12 65N15 41A25 PDF BibTeX XML Cite \textit{A. Buffa} and \textit{E. M. Garau}, Math. Models Methods Appl. Sci. 28, No. 8, 1453--1480 (2018; Zbl 1398.65291) Full Text: DOI arXiv OpenURL
Bänsch, E.; Karakatsani, F.; Makridakis, C. G. A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem. (English) Zbl 1395.65057 Calcolo 55, No. 2, Paper No. 19, 32 p. (2018). MSC: 65M15 65M50 65N15 PDF BibTeX XML Cite \textit{E. Bänsch} et al., Calcolo 55, No. 2, Paper No. 19, 32 p. (2018; Zbl 1395.65057) Full Text: DOI Link OpenURL
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard A posteriori error estimation for a PDE-constrained optimization problem involving the generalized Oseen equations. (English) Zbl 1395.49028 SIAM J. Sci. Comput. 40, No. 4, A2200-A2233 (2018). MSC: 49N10 49K20 49M25 65K10 65N15 65N30 65N50 65Y20 PDF BibTeX XML Cite \textit{A. Allendes} et al., SIAM J. Sci. Comput. 40, No. 4, A2200--A2233 (2018; Zbl 1395.49028) Full Text: DOI OpenURL
Chung, Eric T.; Park, Eun-Jae; Zhao, Lina Guaranteed a posteriori error estimates for a staggered discontinuous Galerkin method. (English) Zbl 1393.65028 J. Sci. Comput. 75, No. 2, 1079-1101 (2018). MSC: 65M60 65M15 35J15 PDF BibTeX XML Cite \textit{E. T. Chung} et al., J. Sci. Comput. 75, No. 2, 1079--1101 (2018; Zbl 1393.65028) Full Text: DOI OpenURL
Kim, Dongho; Park, Eun-Jae; Seo, Boyoon Space-time adaptive methods for the mixed formulation of a linear parabolic problem. (English) Zbl 1398.65140 J. Sci. Comput. 74, No. 3, 1725-1756 (2018). MSC: 65K10 65M12 65M60 PDF BibTeX XML Cite \textit{D. Kim} et al., J. Sci. Comput. 74, No. 3, 1725--1756 (2018; Zbl 1398.65140) Full Text: DOI OpenURL
Creusé, Emmanuel; Nicaise, Serge; Tittarelli, Roberta A guaranteed equilibrated error estimator for the \(\mathbf{A}-\varphi\) and \(\mathbf{T}-\Omega\) magnetodynamic harmonic formulations of the Maxwell system. (English) Zbl 1433.76078 IMA J. Numer. Anal. 37, No. 2, 750-773 (2017). MSC: 76M10 65N30 65N15 76W05 78A25 PDF BibTeX XML Cite \textit{E. Creusé} et al., IMA J. Numer. Anal. 37, No. 2, 750--773 (2017; Zbl 1433.76078) Full Text: DOI OpenURL
Mozolevski, Igor; Valmorbida, Edson Luiz Efficient equilibrated flux reconstruction in high order Raviart-Thomas space for discontinuous Galerkin methods. (English) Zbl 1382.65416 Bittencourt, Marco L. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2016. Selected papers from the ICOSAHOM conference, June 27 – July 1, 2016, Rio de Janeiro, Brazil. Cham: Springer (ISBN 978-3-319-65869-8/hbk; 978-3-319-65870-4/ebook). Lecture Notes in Computational Science and Engineering 119, 467-479 (2017). MSC: 65N30 35J25 65N15 PDF BibTeX XML Cite \textit{I. Mozolevski} and \textit{E. L. Valmorbida}, Lect. Notes Comput. Sci. Eng. 119, 467--479 (2017; Zbl 1382.65416) Full Text: DOI HAL OpenURL
Erath, Christoph; Praetorius, Dirk Céa-type quasi-optimality and convergence rates for (adaptive) vertex-centered FVM. (English) Zbl 1372.65294 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – methods and theoretical aspects. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57396-0/hbk; 978-3-319-57397-7/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 199, 215-223 (2017). MSC: 65N08 65N30 65N50 65N15 65N12 41A25 PDF BibTeX XML Cite \textit{C. Erath} and \textit{D. Praetorius}, Springer Proc. Math. Stat. 199, 215--223 (2017; Zbl 1372.65294) Full Text: DOI OpenURL
Gaspoz, F. D.; Morin, P.; Veeser, A. A posteriori error estimates with point sources in fractional Sobolev spaces. (English) Zbl 1395.65142 Numer. Methods Partial Differ. Equations 33, No. 4, 1018-1042 (2017). Reviewer: I. N. Katz (St. Louis) MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{F. D. Gaspoz} et al., Numer. Methods Partial Differ. Equations 33, No. 4, 1018--1042 (2017; Zbl 1395.65142) Full Text: DOI arXiv OpenURL
Erath, Christoph; Praetorius, Dirk Adaptive vertex-centered finite volume methods with convergence rates. (English) Zbl 1416.65410 SIAM J. Numer. Anal. 54, No. 4, 2228-2255 (2016). MSC: 65N08 65N12 65N50 65N15 PDF BibTeX XML Cite \textit{C. Erath} and \textit{D. Praetorius}, SIAM J. Numer. Anal. 54, No. 4, 2228--2255 (2016; Zbl 1416.65410) Full Text: DOI arXiv OpenURL
Uzunca, Murat Adaptive discontinuous Galerkin methods for non-linear reactive flows. (English) Zbl 1354.76005 Lecture Notes in Geosystems Mathematics and Computing. Basel: Birkhäuser/Springer (ISBN 978-3-319-30129-7/pbk; 978-3-319-30130-3/ebook). ix, 105 p. (2016). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 76-02 76M25 76V05 76R99 PDF BibTeX XML Cite \textit{M. Uzunca}, Adaptive discontinuous Galerkin methods for non-linear reactive flows. Basel: Birkhäuser/Springer (2016; Zbl 1354.76005) Full Text: DOI Link OpenURL
Liu, Huipo An error estimate and its adaptive algorithm for the neutron transport equations. (Chinese. English summary) Zbl 1340.65249 Math. Numer. Sin. 37, No. 3, 264-272 (2015). MSC: 65N15 65N30 82D75 35Q82 PDF BibTeX XML Cite \textit{H. Liu}, Math. Numer. Sin. 37, No. 3, 264--272 (2015; Zbl 1340.65249) OpenURL
Auzinger, Winfried; Koch, Othmar; Thalhammer, Mechthild Defect-based local error estimators for high-order splitting methods involving three linear operators. (English) Zbl 1325.65131 Numer. Algorithms 70, No. 1, 61-91 (2015). MSC: 65M15 35K90 65J08 35Q55 PDF BibTeX XML Cite \textit{W. Auzinger} et al., Numer. Algorithms 70, No. 1, 61--91 (2015; Zbl 1325.65131) Full Text: DOI Link OpenURL
Linke, A.; Merdon, C. Guaranteed energy error estimators for a modified robust Crouzeix-Raviart Stokes element. (English) Zbl 1330.76074 J. Sci. Comput. 64, No. 2, 541-558 (2015). MSC: 76M10 65N30 65N15 35Q30 PDF BibTeX XML Cite \textit{A. Linke} and \textit{C. Merdon}, J. Sci. Comput. 64, No. 2, 541--558 (2015; Zbl 1330.76074) Full Text: DOI OpenURL
Creusé, Emmanuel; Nicaise, Serge; Tang, Zuqi Helmholtz decomposition of vector fields with mixed boundary conditions and an application to a posteriori finite element error analysis of the Maxwell system. (English) Zbl 1309.35158 Math. Methods Appl. Sci. 38, No. 4, 738-750 (2015). MSC: 35Q61 65M15 65M60 78M10 PDF BibTeX XML Cite \textit{E. Creusé} et al., Math. Methods Appl. Sci. 38, No. 4, 738--750 (2015; Zbl 1309.35158) Full Text: DOI HAL OpenURL
Katsaounis, Theodoros; Kyza, Irene A posteriori error control and adaptivity for Crank-Nicolson finite element approximations for the linear Schrödinger equation. (English) Zbl 1310.65107 Numer. Math. 129, No. 1, 55-90 (2015). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M15 65M60 35Q41 65M06 PDF BibTeX XML Cite \textit{T. Katsaounis} and \textit{I. Kyza}, Numer. Math. 129, No. 1, 55--90 (2015; Zbl 1310.65107) Full Text: DOI arXiv OpenURL
Araya, Rodolfo; Venegas, Pablo An a posteriori error estimator for an unsteady advection-diffusion-reaction problem. (English) Zbl 1368.65186 Comput. Math. Appl. 66, No. 12, 2456-2476 (2014). MSC: 65M60 65M12 65M15 35K20 PDF BibTeX XML Cite \textit{R. Araya} and \textit{P. Venegas}, Comput. Math. Appl. 66, No. 12, 2456--2476 (2014; Zbl 1368.65186) Full Text: DOI OpenURL
Carstensen, C.; Feischl, M.; Page, M.; Praetorius, D. Axioms of adaptivity. (English) Zbl 1350.65119 Comput. Math. Appl. 67, No. 6, 1195-1253 (2014). MSC: 65N30 65N38 65N15 65N50 65N12 35J25 35J60 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Comput. Math. Appl. 67, No. 6, 1195--1253 (2014; Zbl 1350.65119) Full Text: DOI arXiv OpenURL
Du, Shaohong; Xie, Xiaoping On residual-based a posteriori error estimators for lowest-order Raviart-Thomas element approximation to convection-diffusion-reaction equations. (English) Zbl 1324.65138 J. Comput. Math. 32, No. 5, 522-546 (2014). MSC: 65N15 65N30 76M10 35J25 PDF BibTeX XML Cite \textit{S. Du} and \textit{X. Xie}, J. Comput. Math. 32, No. 5, 522--546 (2014; Zbl 1324.65138) Full Text: DOI arXiv OpenURL
Creusé, Emmanuel; Nicaise, Serge; Tittarelli, Roberta Space-time residual-based a posteriori estimators for the \(A - \varphi\) magnetodynamic formulation of the Maxwell system. (English) Zbl 1304.35669 Comput. Methods Appl. Math. 14, No. 4, 429-460 (2014). MSC: 35Q61 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{E. Creusé} et al., Comput. Methods Appl. Math. 14, No. 4, 429--460 (2014; Zbl 1304.35669) Full Text: DOI OpenURL
de Frutos, Javier; García-Archilla, Bosco; John, Volker; Novo, Julia An adaptive SUPG method for evolutionary convection-diffusion equations. (English) Zbl 1296.76090 Comput. Methods Appl. Mech. Eng. 273, 219-237 (2014). MSC: 76M10 65M60 35K57 35K20 PDF BibTeX XML Cite \textit{J. de Frutos} et al., Comput. Methods Appl. Mech. Eng. 273, 219--237 (2014; Zbl 1296.76090) Full Text: DOI OpenURL
Wang, Fei; Han, Weimin Another view for a posteriori error estimates for variational inequalities of the second kind. (English) Zbl 1302.65159 Appl. Numer. Math. 72, 225-233 (2013). MSC: 65K15 49J40 49M25 PDF BibTeX XML Cite \textit{F. Wang} and \textit{W. Han}, Appl. Numer. Math. 72, 225--233 (2013; Zbl 1302.65159) Full Text: DOI OpenURL
Hintermüller, M.; Hinze, M.; Kahle, C. An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system. (English) Zbl 1291.65300 J. Comput. Phys. 235, 810-827 (2013). MSC: 65M60 76M10 35Q35 65M15 35A01 76T99 PDF BibTeX XML Cite \textit{M. Hintermüller} et al., J. Comput. Phys. 235, 810--827 (2013; Zbl 1291.65300) Full Text: DOI OpenURL
Creusé, E.; Nicaise, S.; Verhille, Emmanuel Robust residual a posteriori error estimators for the Reissner-Mindlin eigenvalues system. (English) Zbl 1282.74051 J. Numer. Math. 21, No. 2, 89-133 (2013). MSC: 74K20 74S05 65N30 65N15 65N25 PDF BibTeX XML Cite \textit{E. Creusé} et al., J. Numer. Math. 21, No. 2, 89--133 (2013; Zbl 1282.74051) Full Text: DOI OpenURL
Gupta, Nupur; Nataraj, Neela A posteriori error estimates for an optimal control problem of laser surface hardening of steel. (English) Zbl 1269.49049 Adv. Comput. Math. 39, No. 1, 69-99 (2013). MSC: 49M25 49K20 49N90 65M60 65K10 35K58 PDF BibTeX XML Cite \textit{N. Gupta} and \textit{N. Nataraj}, Adv. Comput. Math. 39, No. 1, 69--99 (2013; Zbl 1269.49049) Full Text: DOI OpenURL
Dolejší, Vít; Ern, Alexandre; Vohralík, Martin A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems. (English) Zbl 1278.65138 SIAM J. Numer. Anal. 51, No. 2, 773-793 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M15 65M50 35K65 65M06 65M60 PDF BibTeX XML Cite \textit{V. Dolejší} et al., SIAM J. Numer. Anal. 51, No. 2, 773--793 (2013; Zbl 1278.65138) Full Text: DOI HAL OpenURL
Chen, Huangxin; Hoppe, Ronald H. W.; Xu, Xuejun Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation. (English) Zbl 1278.65167 ESAIM, Math. Model. Numer. Anal. 47, No. 1, 125-147 (2013). Reviewer: Johannes Elschner (Berlin) MSC: 65N12 65N30 65N50 78M10 35J05 78A25 65N55 65F10 35Q61 PDF BibTeX XML Cite \textit{H. Chen} et al., ESAIM, Math. Model. Numer. Anal. 47, No. 1, 125--147 (2013; Zbl 1278.65167) Full Text: DOI OpenURL
Creusé, Emmanuel; Nicaise, Serge; Tang, Zuqi; Le Menach, Yvonnick; Nemitz, Nicolas; Piriou, Francis Residual-based a posteriori estimators for the \(T/ \Omega\) magnetodynamic harmonic formulation of the Maxwell system. (English) Zbl 1264.65190 Int. J. Numer. Anal. Model. 10, No. 2, 411-429 (2013). MSC: 65N30 35Q61 76W05 76M10 65N15 65N50 PDF BibTeX XML Cite \textit{E. Creusé} et al., Int. J. Numer. Anal. Model. 10, No. 2, 411--429 (2013; Zbl 1264.65190) Full Text: Link OpenURL
Antonietti, Paola F.; Beirão da Veiga, Lourenço; Lovadina, Carlo; Verani, Marco Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems. (English) Zbl 1267.65159 SIAM J. Numer. Anal. 51, No. 1, 654-675 (2013). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N15 65N06 35J25 65N50 PDF BibTeX XML Cite \textit{P. F. Antonietti} et al., SIAM J. Numer. Anal. 51, No. 1, 654--675 (2013; Zbl 1267.65159) Full Text: DOI Link OpenURL
Bänsch, E.; Karakatsani, F.; Makridakis, Ch. The effect of mesh modification in time on the error control of fully discrete approximations for parabolic equations. (English) Zbl 1273.65124 Appl. Numer. Math. 67, 35-63 (2013). Reviewer: S. Burys (Kraków) MSC: 65M15 65M06 65M60 35K05 PDF BibTeX XML Cite \textit{E. Bänsch} et al., Appl. Numer. Math. 67, 35--63 (2013; Zbl 1273.65124) Full Text: DOI Link OpenURL
Kohls, Kristina; Rösch, Arnd; Siebert, Kunibert G. A posteriori error estimators for control constrained optimal control problems. (English) Zbl 1356.49048 Leugering, Günter (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). ISNM. International Series of Numerical Mathematics 160, 431-443 (2012). MSC: 49M25 49J20 65N30 65N15 PDF BibTeX XML Cite \textit{K. Kohls} et al., ISNM, Int. Ser. Numer. Math. 160, 431--443 (2012; Zbl 1356.49048) Full Text: DOI OpenURL
Cohen, Albert; Dahmen, Wolfgang; Welper, Gerrit Adaptivity and variational stabilization for convection-diffusion equations. (English) Zbl 1270.65065 ESAIM, Math. Model. Numer. Anal. 46, No. 5, 1247-1273 (2012). MSC: 65N30 35J25 65N12 65N15 PDF BibTeX XML Cite \textit{A. Cohen} et al., ESAIM, Math. Model. Numer. Anal. 46, No. 5, 1247--1273 (2012; Zbl 1270.65065) Full Text: DOI OpenURL
Bänsch, E.; Karakatsani, F.; Makridakis, Ch. A posteriori error control for fully discrete Crank-Nicolson schemes. (English) Zbl 1267.65117 SIAM J. Numer. Anal. 50, No. 6, 2845-2872 (2012). Reviewer: Ali Filiz (Aydin) MSC: 65M15 65M06 65M60 35K20 PDF BibTeX XML Cite \textit{E. Bänsch} et al., SIAM J. Numer. Anal. 50, No. 6, 2845--2872 (2012; Zbl 1267.65117) Full Text: DOI Link OpenURL
Garau, Eduardo M.; Morin, Pedro; Zuppa, Carlos Quasi-optimal convergence rate of an AFEM for quasi-linear problems of monotone type. (English) Zbl 1265.65223 Numer. Math., Theory Methods Appl. 5, No. 2, 131-156 (2012). MSC: 65N12 65N30 35J62 65N15 PDF BibTeX XML Cite \textit{E. M. Garau} et al., Numer. Math., Theory Methods Appl. 5, No. 2, 131--156 (2012; Zbl 1265.65223) Full Text: DOI arXiv OpenURL
Chen, Junqing; Xu, Yifeng; Zou, Jun An adaptive edge element method and its convergence for a saddle-point problem from magnetostatics. (English) Zbl 1259.78039 Numer. Methods Partial Differ. Equations 28, No. 5, 1643-1666 (2012). Reviewer: Gunther Schmidt (Berlin) MSC: 78M10 65N30 65N12 78A30 PDF BibTeX XML Cite \textit{J. Chen} et al., Numer. Methods Partial Differ. Equations 28, No. 5, 1643--1666 (2012; Zbl 1259.78039) Full Text: DOI OpenURL
Horváth, Tamás L.; Izsák, Ferenc Implicit a posteriori error estimation using patch recovery techniques. (English) Zbl 1247.65141 Cent. Eur. J. Math. 10, No. 1, 55-72 (2012). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N15 65N30 65Y20 35J25 65N12 PDF BibTeX XML Cite \textit{T. L. Horváth} and \textit{F. Izsák}, Cent. Eur. J. Math. 10, No. 1, 55--72 (2012; Zbl 1247.65141) Full Text: DOI Link OpenURL
Chen, Yanping; Huang, Yunqing; Hou, Tianliang Richardson extrapolation and defect correction of mixed finite element methods for elliptic optimal control problems. (English) Zbl 1241.49014 J. Korean Math. Soc. 49, No. 3, 549-569 (2012). MSC: 49M25 35J15 35Q93 65K10 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Korean Math. Soc. 49, No. 3, 549--569 (2012; Zbl 1241.49014) Full Text: DOI OpenURL
Creusé, Emmanuel; Nicaise, Serge; Tang, Zuqi; Le Menach, Yvonnick; Nemitz, Nicolas; Piriou, Francis Residual-based a posteriori estimators for the \(\mathbf{A} - \varphi\) magnetodynamic harmonic formulation of the Maxwell system. (English) Zbl 1238.35151 Math. Models Methods Appl. Sci. 22, No. 5, 1150028, 30 p. (2012). MSC: 35Q61 65N30 65N15 65N50 78M10 PDF BibTeX XML Cite \textit{E. Creusé} et al., Math. Models Methods Appl. Sci. 22, No. 5, 1150028, 30 p. (2012; Zbl 1238.35151) Full Text: DOI OpenURL
Dedè, L.; Santos, H. A. F. A. B-spline goal-oriented error estimators for geometrically nonlinear rods. (English) Zbl 1398.74321 Comput. Mech. 49, No. 1, 35-52 (2012). MSC: 74S05 74K10 65N30 65N15 41A15 PDF BibTeX XML Cite \textit{L. Dedè} and \textit{H. A. F. A. Santos}, Comput. Mech. 49, No. 1, 35--52 (2012; Zbl 1398.74321) Full Text: DOI OpenURL
Dari, E. A.; Durán, R. G.; Padra, C. A posteriori error estimates for non-conforming approximation of eigenvalue problems. (English) Zbl 1242.65221 Appl. Numer. Math. 62, No. 5, 580-591 (2012). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N15 65N25 65N30 PDF BibTeX XML Cite \textit{E. A. Dari} et al., Appl. Numer. Math. 62, No. 5, 580--591 (2012; Zbl 1242.65221) Full Text: DOI Link OpenURL
Wang, Feng; Xu, Xuejun Some new residual-based a posteriori error estimators for the mortar finite element methods. (English) Zbl 1237.65117 Numer. Math. 120, No. 3, 543-571 (2012). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N15 65N30 35J25 35R05 PDF BibTeX XML Cite \textit{F. Wang} and \textit{X. Xu}, Numer. Math. 120, No. 3, 543--571 (2012; Zbl 1237.65117) Full Text: DOI OpenURL
Veeser, Andreas; Verfürth, Rüdiger Poincaré constants for finite element stars. (English) Zbl 1235.65127 IMA J. Numer. Anal. 32, No. 1, 30-47 (2012). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{A. Veeser} and \textit{R. Verfürth}, IMA J. Numer. Anal. 32, No. 1, 30--47 (2012; Zbl 1235.65127) Full Text: DOI OpenURL
Cascón, J. Manuel; Nochetto, Ricardo H. Quasioptimal cardinality of AFEM driven by nonresidual estimators. (English) Zbl 1242.65237 IMA J. Numer. Anal. 32, No. 1, 1-29 (2012). Reviewer: Nicolae Pop (Baia Mare) MSC: 65N30 65N15 35J25 PDF BibTeX XML Cite \textit{J. M. Cascón} and \textit{R. H. Nochetto}, IMA J. Numer. Anal. 32, No. 1, 1--29 (2012; Zbl 1242.65237) Full Text: DOI Link OpenURL
Carstensen, Carsten; Merdon, Christian Remarks on the state of the art of a posteriori error control of elliptic PDEs in energy norms in practise. (English) Zbl 1265.65225 Stud. Univ. Babeș-Bolyai, Math. 56, No. 2, 273-293 (2011). Reviewer: Ariadna Lucia Pletea (Iasi) MSC: 65N15 65N30 35J05 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{C. Merdon}, Stud. Univ. Babeș-Bolyai, Math. 56, No. 2, 273--293 (2011; Zbl 1265.65225) OpenURL
Creusé, Emmanuel; Nicaise, Serge; Verhille, Emmanuel Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system. (English) Zbl 1235.74212 Calcolo 48, No. 4, 307-335 (2011). MSC: 74K20 65M60 65M15 65M50 PDF BibTeX XML Cite \textit{E. Creusé} et al., Calcolo 48, No. 4, 307--335 (2011; Zbl 1235.74212) Full Text: DOI arXiv OpenURL
Masud, Arif; Truster, Timothy J.; Bergman, Lawrence A. A variational multiscale a posteriori error estimation method for mixed form of nearly incompressible elasticity. (English) Zbl 1230.74190 Comput. Methods Appl. Mech. Eng. 200, No. 47-48, 3453-3481 (2011). MSC: 74S05 74B15 65N15 65N30 PDF BibTeX XML Cite \textit{A. Masud} et al., Comput. Methods Appl. Mech. Eng. 200, No. 47--48, 3453--3481 (2011; Zbl 1230.74190) Full Text: DOI OpenURL
Ku, Jaeun A posteriori error estimates for the primary and dual variables for the div first-order least-squares finite element method. (English) Zbl 1225.65102 Comput. Methods Appl. Mech. Eng. 200, No. 5-8, 830-836 (2011). MSC: 65N15 65N30 74S05 76M10 PDF BibTeX XML Cite \textit{J. Ku}, Comput. Methods Appl. Mech. Eng. 200, No. 5--8, 830--836 (2011; Zbl 1225.65102) Full Text: DOI OpenURL
Ku, Jaeun Pointwise error estimates for first-order div least-squares finite element methods and applications to superconvergence and a posteriori error estimators. (English) Zbl 1228.65214 SIAM J. Numer. Anal. 49, No. 2, 521-540 (2011). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N15 65N30 35J25 65N12 PDF BibTeX XML Cite \textit{J. Ku}, SIAM J. Numer. Anal. 49, No. 2, 521--540 (2011; Zbl 1228.65214) Full Text: DOI OpenURL
Georgoulis, Emmanuil H.; Lakkis, Omar; Virtanen, Juha M. A posteriori error control for discontinuous Galerkin methods for parabolic problems. (English) Zbl 1228.65182 SIAM J. Numer. Anal. 49, No. 2, 427-458 (2011). Reviewer: Othmar Koch (Baden) MSC: 65M15 65M60 35K20 65M20 PDF BibTeX XML Cite \textit{E. H. Georgoulis} et al., SIAM J. Numer. Anal. 49, No. 2, 427--458 (2011; Zbl 1228.65182) Full Text: DOI arXiv OpenURL
Gavrilyuk, Ivan P.; Hermann, Martin; Makarov, Volodymyr L.; Kutniv, Myroslav V. Exact and truncated difference schemes for boundary value ODEs. (English) Zbl 1226.65066 ISNM. International Series of Numerical Mathematics 159. Basel: Birkhäuser (ISBN 978-3-0348-0106-5/hbk; 978-3-0348-0107-2/ebook). xi, 247 p. (2011). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65L10 65L12 65-02 34B05 34B15 65L70 PDF BibTeX XML Cite \textit{I. P. Gavrilyuk} et al., Exact and truncated difference schemes for boundary value ODEs. Basel: Birkhäuser (2011; Zbl 1226.65066) Full Text: DOI OpenURL
Klein, Vivivane; Peszyńska, Małgorzata Robust a-posteriori estimators for multilevel discretizations of reaction-diffusion systems. (English) Zbl 1410.65453 Int. J. Numer. Anal. Model. 8, No. 1, 1-27 (2011). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{V. Klein} and \textit{M. Peszyńska}, Int. J. Numer. Anal. Model. 8, No. 1, 1--27 (2011; Zbl 1410.65453) Full Text: Link OpenURL
Manteuffel, T.; McCormick, S.; Nolting, J.; Ruge, J.; Sanders, G. Further results on error estimators for local refinement with first-order system least squares (FOSLS). (English) Zbl 1240.65319 Numer. Linear Algebra Appl. 17, No. 2-3, 387-413 (2010). Reviewer: Tomáš Vejchodský (Praha) MSC: 65N15 35F20 65N30 65N12 65N50 PDF BibTeX XML Cite \textit{T. Manteuffel} et al., Numer. Linear Algebra Appl. 17, No. 2--3, 387--413 (2010; Zbl 1240.65319) Full Text: DOI OpenURL
Li, Mingxia; Lin, Qun; Zhang, Shuhua Extrapolation and superconvergence of the Steklov eigenvalue problem. (English) Zbl 1213.65141 Adv. Comput. Math. 33, No. 1, 25-44 (2010). MSC: 65N25 65B05 PDF BibTeX XML Cite \textit{M. Li} et al., Adv. Comput. Math. 33, No. 1, 25--44 (2010; Zbl 1213.65141) Full Text: DOI OpenURL
Gräser, Carsten; Kornhuber, Ralf; Sack, Uli On hierarchical error estimators for time-discretized phase field models. (English) Zbl 1216.65114 Kreiss, Gunilla (ed.) et al., Numerical mathematics and advanced applications 2009. Proceedings of ENUMATH 2009, the 8th European conference on numerical mathematics and advanced applications, Uppsala, Sweden, June 29–July 3, 2009. Berlin: Springer (ISBN 978-3-642-11794-7/hbk; 978-3-642-11795-4/ebook). 397-405 (2010). MSC: 65M15 35Q35 65M60 65F08 PDF BibTeX XML Cite \textit{C. Gräser} et al., in: Numerical mathematics and advanced applications 2009. Proceedings of ENUMATH 2009, the 8th European conference on numerical mathematics and advanced applications, Uppsala, Sweden, June 29--July 3, 2009. Berlin: Springer. 397--405 (2010; Zbl 1216.65114) Full Text: DOI OpenURL
Zheng, Haibiao; Hou, Yanren; Shi, Feng A posteriori error estimates of stabilization of low-order mixed finite elements for incompressible flow. (English) Zbl 1410.76206 SIAM J. Sci. Comput. 32, No. 3, 1346-1360 (2010). MSC: 76M10 65N15 65N30 76D07 PDF BibTeX XML Cite \textit{H. Zheng} et al., SIAM J. Sci. Comput. 32, No. 3, 1346--1360 (2010; Zbl 1410.76206) Full Text: DOI OpenURL
Cai, Zhiqiang; Zhang, Shun Recovery-based error estimators for interface problems: mixed and nonconforming finite elements. (English) Zbl 1210.65185 SIAM J. Numer. Anal. 48, No. 1, 30-52 (2010). Reviewer: Erwin Schechter (Moers) MSC: 65N15 65N30 35J25 65N12 PDF BibTeX XML Cite \textit{Z. Cai} and \textit{S. Zhang}, SIAM J. Numer. Anal. 48, No. 1, 30--52 (2010; Zbl 1210.65185) Full Text: DOI Link OpenURL
Mu, Baoying; Hou, Yanren; Zhang, Yunzhang Multiscale adaptivity for the time-dependent Navier-Stokes equations. (Chinese. English summary) Zbl 1224.65223 Chin. J. Eng. Math. 27, No. 2, 258-270 (2010). MSC: 65M50 65M60 76D05 PDF BibTeX XML Cite \textit{B. Mu} et al., Chin. J. Eng. Math. 27, No. 2, 258--270 (2010; Zbl 1224.65223) OpenURL
Carstensen, C.; Merdon, C. Estimator competition for Poisson problems. (English) Zbl 1224.65253 J. Comput. Math. 28, No. 3, 309-330 (2010). MSC: 65N15 65N30 35J05 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{C. Merdon}, J. Comput. Math. 28, No. 3, 309--330 (2010; Zbl 1224.65253) Full Text: DOI OpenURL
Ku, JaEun; Park, Eun-Jae A posteriori error estimators for the first-order least-squares finite element method. (English) Zbl 1203.65231 J. Comput. Appl. Math. 235, No. 1, 293-300 (2010). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 65N15 65N30 35J25 65N50 PDF BibTeX XML Cite \textit{J. Ku} and \textit{E.-J. Park}, J. Comput. Appl. Math. 235, No. 1, 293--300 (2010; Zbl 1203.65231) Full Text: DOI OpenURL
Kim, Kwang-Yeon; Lee, Hyung-Chun A posteriori error estimators for nonconforming finite element methods of the linear elasticity problem. (English) Zbl 1427.74020 J. Comput. Appl. Math. 235, No. 1, 186-202 (2010). MSC: 74B05 74S05 65N15 PDF BibTeX XML Cite \textit{K.-Y. Kim} and \textit{H.-C. Lee}, J. Comput. Appl. Math. 235, No. 1, 186--202 (2010; Zbl 1427.74020) Full Text: DOI OpenURL
Segeth, Karel A review of some a posteriori error estimates for adaptive finite element methods. (English) Zbl 1196.65173 Math. Comput. Simul. 80, No. 8, 1589-1600 (2010). MSC: 65N15 65M30 35J05 35J25 35J40 35J62 35J65 35K55 35Q30 PDF BibTeX XML Cite \textit{K. Segeth}, Math. Comput. Simul. 80, No. 8, 1589--1600 (2010; Zbl 1196.65173) Full Text: DOI OpenURL
Huang, Weizhang; Kamenski, Lennard; Lang, Jens A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates. (English) Zbl 1185.65221 J. Comput. Phys. 229, No. 6, 2179-2198 (2010). MSC: 65N50 65N30 65N15 35J25 65F10 PDF BibTeX XML Cite \textit{W. Huang} et al., J. Comput. Phys. 229, No. 6, 2179--2198 (2010; Zbl 1185.65221) Full Text: DOI arXiv OpenURL
Lin, Qun; Liu, Tang; Zhang, Shuhua Superconvergence estimates of finite element methods for American options. (English) Zbl 1212.65252 Appl. Math., Praha 54, No. 3, 181-202 (2009). MSC: 91G60 91G10 65M12 65M60 PDF BibTeX XML Cite \textit{Q. Lin} et al., Appl. Math., Praha 54, No. 3, 181--202 (2009; Zbl 1212.65252) Full Text: DOI EuDML Link OpenURL
Mommer, Mario S.; Stevenson, Rob A goal-oriented adaptive finite element method with convergence rates. (English) Zbl 1195.65174 SIAM J. Numer. Anal. 47, No. 2, 861-886 (2009). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N30 65N50 65Y20 65N15 35J25 PDF BibTeX XML Cite \textit{M. S. Mommer} and \textit{R. Stevenson}, SIAM J. Numer. Anal. 47, No. 2, 861--886 (2009; Zbl 1195.65174) Full Text: DOI OpenURL
Parés, N.; Santos, H.; Díez, P. Guaranteed energy error bounds for the Poisson equation using a flux-free approach: solving the local problems in subdomains. (English) Zbl 1176.65127 Int. J. Numer. Methods Eng. 79, No. 10, 1203-1244 (2009). MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{N. Parés} et al., Int. J. Numer. Methods Eng. 79, No. 10, 1203--1244 (2009; Zbl 1176.65127) Full Text: DOI Link OpenURL
El Alaoui, Linda An adaptive finite volume box scheme for solving a class of nonlinear parabolic equations. (English) Zbl 1177.35113 Appl. Math. Lett. 22, No. 3, 291-296 (2009). MSC: 35K55 35A35 65M60 PDF BibTeX XML Cite \textit{L. El Alaoui}, Appl. Math. Lett. 22, No. 3, 291--296 (2009; Zbl 1177.35113) Full Text: DOI OpenURL
Jia, Shanghui; Li, Deli; Zhang, Shuhua Asymptotic expansions and Richardson extrapolation of approximate solutions for integro-differential equations by mixed finite element methods. (English) Zbl 1160.65067 Adv. Comput. Math. 29, No. 4, 337-356 (2008). Reviewer: Josef Kofroň (Praha) MSC: 65R20 45K05 PDF BibTeX XML Cite \textit{S. Jia} et al., Adv. Comput. Math. 29, No. 4, 337--356 (2008; Zbl 1160.65067) Full Text: DOI OpenURL
Dai, Xiaoying; Xu, Jinchao; Zhou, Aihui Convergence and optimal complexity of adaptive finite element eigenvalue computations. (English) Zbl 1159.65090 Numer. Math. 110, No. 3, 313-355 (2008). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N25 65N15 65N30 65N50 35P15 65N12 65Y20 PDF BibTeX XML Cite \textit{X. Dai} et al., Numer. Math. 110, No. 3, 313--355 (2008; Zbl 1159.65090) Full Text: DOI OpenURL
Kim, Dongho; Park, Eun-Jae Adaptive Crank-Nicolson methods with dynamic finite-element spaces for parabolic problems. (English) Zbl 1156.65077 Discrete Contin. Dyn. Syst., Ser. B 10, No. 4, 873-886 (2008). Reviewer: Erwin Schechter (Moers) MSC: 65M06 65M12 65M60 35K20 PDF BibTeX XML Cite \textit{D. Kim} and \textit{E.-J. Park}, Discrete Contin. Dyn. Syst., Ser. B 10, No. 4, 873--886 (2008; Zbl 1156.65077) Full Text: DOI OpenURL
Shi, Zhongci; Xu, Xuejun; Zhang, Zhimin The patch recovery for finite element approximation of elasticity problems under quadrilateral meshes. (English) Zbl 1141.74042 Discrete Contin. Dyn. Syst., Ser. B 9, No. 1, 163-182 (2008). MSC: 74S05 74B05 65N15 65N30 PDF BibTeX XML Cite \textit{Z. Shi} et al., Discrete Contin. Dyn. Syst., Ser. B 9, No. 1, 163--182 (2008; Zbl 1141.74042) OpenURL
Agouzal, Abdellatif A posteriori error estimators for nonconforming approximation. (English) Zbl 1136.65099 Int. J. Numer. Anal. Model. 5, No. 1, 77-85 (2008). Reviewer: Weizhong Dai (Ruston) MSC: 65N15 65N30 35J25 PDF BibTeX XML Cite \textit{A. Agouzal}, Int. J. Numer. Anal. Model. 5, No. 1, 77--85 (2008; Zbl 1136.65099) OpenURL
Gaevskaya, A.; Hoppe, R. H. W.; Iliash, Y.; Kieweg, M. Convergence analysis of an adaptive finite element method for distributed control problems with control constraints. (English) Zbl 1239.49041 Kunisch, Karl (ed.) et al., Control of coupled partial differential equations. Selected papers originating from the conference on optimal control of coupled systems of partial differential equations, Oberwolfach, Germany, April 17–23, 2005. Basel: Birkhäuser (ISBN 3-7643-7720-8/hbk). ISNM. International Series of Numerical Mathematics 155, 47-68 (2007). MSC: 49M25 65K10 65N30 PDF BibTeX XML Cite \textit{A. Gaevskaya} et al., ISNM, Int. Ser. Numer. Math. 155, 47--68 (2007; Zbl 1239.49041) OpenURL
Creuse, E.; Farhloul, M.; Paquet, L. A posteriori error estimation for the dual mixed finite element method for the \(p\)-Laplacian in a polygonal domain. (English) Zbl 1173.65345 Comput. Methods Appl. Mech. Eng. 196, No. 25-28, 2570-2582 (2007). MSC: 65N15 65N30 65N50 35J60 PDF BibTeX XML Cite \textit{E. Creuse} et al., Comput. Methods Appl. Mech. Eng. 196, No. 25--28, 2570--2582 (2007; Zbl 1173.65345) Full Text: DOI OpenURL
Rüter, Marcus; Stein, Erwin On the duality of finite element discretization error control in computational Newtonian and Eshelbian mechanics. (English) Zbl 1169.74050 Comput. Mech. 39, No. 5, 609-630 (2007). MSC: 74S05 74B20 65N15 65N30 PDF BibTeX XML Cite \textit{M. Rüter} and \textit{E. Stein}, Comput. Mech. 39, No. 5, 609--630 (2007; Zbl 1169.74050) Full Text: DOI OpenURL
Karakatsani, Fotini; Makridakis, Charalambos A posteriori estimates for approximations of time-dependent Stokes equations. (English) Zbl 1185.65162 IMA J. Numer. Anal. 27, No. 4, 741-764 (2007). MSC: 65M15 65M06 65M08 35Q30 76D07 PDF BibTeX XML Cite \textit{F. Karakatsani} and \textit{C. Makridakis}, IMA J. Numer. Anal. 27, No. 4, 741--764 (2007; Zbl 1185.65162) Full Text: DOI OpenURL
Cascón, J. M.; Ferragut, L. An adaptive mixed finite element method for wind field adjustment. (English) Zbl 1137.76411 Adv. Eng. Softw. 38, No. 6, 350-357 (2007). MSC: 76M10 PDF BibTeX XML Cite \textit{J. M. Cascón} and \textit{L. Ferragut}, Adv. Eng. Softw. 38, No. 6, 350--357 (2007; Zbl 1137.76411) Full Text: DOI OpenURL
Sun, Shuyu; Wheeler, Mary F. Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport. (English) Zbl 1117.76061 Comput. Geosci. 11, No. 2, 87-101 (2007). MSC: 76S05 65M15 65M60 76M10 76V05 PDF BibTeX XML Cite \textit{S. Sun} and \textit{M. F. Wheeler}, Comput. Geosci. 11, No. 2, 87--101 (2007; Zbl 1117.76061) Full Text: DOI OpenURL
Maisano, G.; Micheletti, S.; Perotto, S.; Bottasso, C. L. On some new recovery-based a posteriori error estimators. (English) Zbl 1168.65406 Comput. Methods Appl. Mech. Eng. 195, No. 37-40, 4794-4815 (2006). MSC: 65N15 65N30 76M10 PDF BibTeX XML Cite \textit{G. Maisano} et al., Comput. Methods Appl. Mech. Eng. 195, No. 37--40, 4794--4815 (2006; Zbl 1168.65406) Full Text: DOI OpenURL
Carstensen, Carsten; Liu, W.; Yan, N. A posteriori FE error control for \(p\)-Laplacian by gradient recovery in quasi-norm. (English) Zbl 1121.65111 Math. Comput. 75, No. 256, 1599-1616 (2006). Reviewer: Fumio Kikuchi (Tokyo) MSC: 65N15 65N30 35J25 PDF BibTeX XML Cite \textit{C. Carstensen} et al., Math. Comput. 75, No. 256, 1599--1616 (2006; Zbl 1121.65111) Full Text: DOI OpenURL
Carstensen, Carsten; Liu, Wenbin; Yan, Ningning A posteriori error estimates for finite element approximation of parabolic \(p\)-Laplacian. (English) Zbl 1112.65107 SIAM J. Numer. Anal. 43, No. 6, 2294-2319 (2006). Reviewer: Angela Handlovičová (Bratislava) MSC: 65N15 65N30 35J70 PDF BibTeX XML Cite \textit{C. Carstensen} et al., SIAM J. Numer. Anal. 43, No. 6, 2294--2319 (2006; Zbl 1112.65107) Full Text: DOI OpenURL
Mekchay, Khamron; Nochetto, Ricardo H. Convergence of adaptive finite element methods for general second order linear elliptic PDEs. (English) Zbl 1104.65103 SIAM J. Numer. Anal. 43, No. 5, 1803-1827 (2005). MSC: 65N12 65N15 65N30 65N50 65Y20 PDF BibTeX XML Cite \textit{K. Mekchay} and \textit{R. H. Nochetto}, SIAM J. Numer. Anal. 43, No. 5, 1803--1827 (2005; Zbl 1104.65103) Full Text: DOI OpenURL
Carstensen, C.; Lazarov, R.; Tomov, S. Explicit and averaging a posteriori error estimates for adaptive finite volume methods. (English) Zbl 1084.65112 SIAM J. Numer. Anal. 42, No. 6, 2496-2521 (2005). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N30 65N12 35J25 65N50 76S05 76M12 PDF BibTeX XML Cite \textit{C. Carstensen} et al., SIAM J. Numer. Anal. 42, No. 6, 2496--2521 (2005; Zbl 1084.65112) Full Text: DOI OpenURL
Krebs, Andreas On solving nonlinear variational inequalities by \(p\)-version finite elements. (English) Zbl 1213.65100 Hannover: Univ. Hannover, Fachbereich Mathematik (Diss.). 172 p. (2004). MSC: 65K15 49J40 49M15 35J87 65N30 PDF BibTeX XML Cite \textit{A. Krebs}, On solving nonlinear variational inequalities by \(p\)-version finite elements. Hannover: Univ. Hannover, Fachbereich Mathematik (Diss.) (2004; Zbl 1213.65100) Full Text: Link OpenURL
Hoppe, Ronald H. W.; Petrova, Svetozara I.; Vassilevski, Yuri V. Adaptive grid refinement for computation of the homogenized elasticity tensor. (English) Zbl 1151.65326 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 4th international conference, LSSC 2003, Sozopol, Bulgaria, June 4–8, 2003. Revised papers. Berlin: Springer (ISBN 3-540-21090-3/pbk). Lecture Notes in Computer Science 2907, 371-378 (2004). MSC: 65K10 74B05 74Q05 90C30 65N50 PDF BibTeX XML Cite \textit{R. H. W. Hoppe} et al., Lect. Notes Comput. Sci. 2907, 371--378 (2004; Zbl 1151.65326) Full Text: DOI OpenURL