Zhao, Lina; Park, Eun-Jae A staggered discontinuous Galerkin method for quasi-linear second order elliptic problems of nonmonotone type. (English) Zbl 07566804 Comput. Methods Appl. Math. 22, No. 3, 729-750 (2022). MSC: 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{E.-J. Park}, Comput. Methods Appl. Math. 22, No. 3, 729--750 (2022; Zbl 07566804) Full Text: DOI OpenURL
Dubuis, Samuel; Passelli, Paride; Picasso, Marco Anisotropic adaptive finite elements for an elliptic problem with strongly varying diffusion coefficient. (English) Zbl 07566793 Comput. Methods Appl. Math. 22, No. 3, 529-543 (2022). MSC: 65N30 65N50 PDF BibTeX XML Cite \textit{S. Dubuis} et al., Comput. Methods Appl. Math. 22, No. 3, 529--543 (2022; Zbl 07566793) Full Text: DOI OpenURL
Chaumont-Frelet, Théophile; Vega, Patrick Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell’s equations. (English) Zbl 07565245 SIAM J. Numer. Anal. 60, No. 4, 1774-1798 (2022). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N15 78A25 78M10 35B05 PDF BibTeX XML Cite \textit{T. Chaumont-Frelet} and \textit{P. Vega}, SIAM J. Numer. Anal. 60, No. 4, 1774--1798 (2022; Zbl 07565245) Full Text: DOI OpenURL
Barrios, Tomás P.; Behrens, Edwin M.; Bustinza, Rommel Numerical analysis of a stabilized scheme applied to incompressible elasticity problems with Dirichlet and with mixed boundary conditions. (English) Zbl 07560218 Adv. Comput. Math. 48, No. 4, Paper No. 43, 33 p. (2022). MSC: 65N30 65N15 65N50 35A01 35A02 35A15 74B10 74S05 35Q74 PDF BibTeX XML Cite \textit{T. P. Barrios} et al., Adv. Comput. Math. 48, No. 4, Paper No. 43, 33 p. (2022; Zbl 07560218) Full Text: DOI OpenURL
Fuica, Francisco; Otárola, Enrique A posteriori error estimates for an optimal control problem with a bilinear state equation. (English) Zbl 07558552 J. Optim. Theory Appl. 194, No. 2, 543-569 (2022). MSC: 49M25 49J20 49J10 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{F. Fuica} and \textit{E. Otárola}, J. Optim. Theory Appl. 194, No. 2, 543--569 (2022; Zbl 07558552) Full Text: DOI OpenURL
Khandelwal, Rohit; Porwal, Kamana Pointwise a posteriori error analysis of a finite element method for the Signorini problem. (English) Zbl 07544564 J. Sci. Comput. 91, No. 2, Paper No. 42, 34 p. (2022). MSC: 65N30 65N15 65N75 74B10 74M15 35A23 35B45 35B65 35J86 PDF BibTeX XML Cite \textit{R. Khandelwal} and \textit{K. Porwal}, J. Sci. Comput. 91, No. 2, Paper No. 42, 34 p. (2022; Zbl 07544564) Full Text: DOI OpenURL
Wang, Wansheng; Mao, Mengli; Huang, Yi Optimal a posteriori estimators for the variable step-size BDF2 method for linear parabolic equations. (English) Zbl 07542682 J. Comput. Appl. Math. 413, Article ID 114306, 21 p. (2022). MSC: 65M20 65L06 65L70 65M15 65M50 PDF BibTeX XML Cite \textit{W. Wang} et al., J. Comput. Appl. Math. 413, Article ID 114306, 21 p. (2022; Zbl 07542682) Full Text: DOI OpenURL
Chen, Yanping; Lin, Xiuxiu; Huang, Yunqing Error analysis of spectral approximation for space-time fractional optimal control problems with control and state constraints. (English) Zbl 07542678 J. Comput. Appl. Math. 413, Article ID 114293, 15 p. (2022). MSC: 65Mxx 65Nxx 49Mxx PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Comput. Appl. Math. 413, Article ID 114293, 15 p. (2022; Zbl 07542678) Full Text: DOI OpenURL
Girault, Vivette; González, María; Hecht, Frédéric A posteriori error analysis of an enriched Galerkin method of order one for the Stokes problem. (English) Zbl 07540593 J. Numer. Math. 30, No. 2, 85-108 (2022). MSC: 65N30 65N15 65N50 76D07 PDF BibTeX XML Cite \textit{V. Girault} et al., J. Numer. Math. 30, No. 2, 85--108 (2022; Zbl 07540593) Full Text: DOI OpenURL
Metcalfe, Stephen; Wihler, Thomas P. Conditional a posteriori error bounds for high order discontinuous Galerkin time stepping approximations of semilinear heat models with blow-up. (English) Zbl 07537264 SIAM J. Sci. Comput. 44, No. 3, A1337-A1357 (2022). MSC: 65M60 65M12 65M15 65M22 65M50 PDF BibTeX XML Cite \textit{S. Metcalfe} and \textit{T. P. Wihler}, SIAM J. Sci. Comput. 44, No. 3, A1337--A1357 (2022; Zbl 07537264) Full Text: DOI OpenURL
Gbéya, Samuel; Houédanou, Koffi Wilfrid; Nyaga, Lewis; Ahounou, Bernardin Residual-based a posteriori error estimates for the \(hp\) version of the finite element discretization of the elliptic Robin boundary control problem. (English) Zbl 07534468 Results Appl. Math. 14, Article ID 100278, 25 p. (2022). MSC: 65N30 65N35 65N50 65N15 65K10 49K20 35J25 35B45 PDF BibTeX XML Cite \textit{S. Gbéya} et al., Results Appl. Math. 14, Article ID 100278, 25 p. (2022; Zbl 07534468) Full Text: DOI OpenURL
Manohar, Ram; Sinha, Rajen Kumar Elliptic reconstruction and a posteriori error estimates for fully discrete semilinear parabolic optimal control problems. (English) Zbl 07533092 J. Comput. Math. 40, No. 2, 147-176 (2022). MSC: 49J20 65J15 65N30 PDF BibTeX XML Cite \textit{R. Manohar} and \textit{R. K. Sinha}, J. Comput. Math. 40, No. 2, 147--176 (2022; Zbl 07533092) Full Text: DOI OpenURL
Gantner, Gregor; Praetorius, Dirk Adaptive BEM for elliptic PDE systems. I: Abstract framework, for weakly-singular integral equations. (English) Zbl 07518224 Appl. Anal. 101, No. 6, 2085-2118 (2022). MSC: 65N15 45P05 65N30 65N38 65N50 65R20 PDF BibTeX XML Cite \textit{G. Gantner} and \textit{D. Praetorius}, Appl. Anal. 101, No. 6, 2085--2118 (2022; Zbl 07518224) Full Text: DOI OpenURL
Apushkinskaya, Darya; Repin, Sergey Functional a posteriori error estimates for the parabolic obstacle problem. (English) Zbl 1487.35455 Comput. Methods Appl. Math. 22, No. 2, 259-276 (2022). MSC: 35R35 35K20 35K85 PDF BibTeX XML Cite \textit{D. Apushkinskaya} and \textit{S. Repin}, Comput. Methods Appl. Math. 22, No. 2, 259--276 (2022; Zbl 1487.35455) Full Text: DOI OpenURL
Ge, Liang; Sun, Tongjun An adaptive hp-version stochastic Galerkin method for constrained optimal control problem governed by random reaction diffusion equations. (English) Zbl 07507657 Comput. Appl. Math. 41, No. 3, Paper No. 104, 30 p. (2022). MSC: 65N15 65N30 65N50 65C20 PDF BibTeX XML Cite \textit{L. Ge} and \textit{T. Sun}, Comput. Appl. Math. 41, No. 3, Paper No. 104, 30 p. (2022; Zbl 07507657) Full Text: DOI OpenURL
Brun, Mats K.; Ahmed, Elyes; Nordbotten, Jan M.; Stenseth, Nils Modeling the process of speciation using a multiscale framework including a posteriori error estimates. (English) Zbl 1486.92132 SIAM J. Appl. Math. 82, No. 2, 450-475 (2022). MSC: 92D15 92D40 34C60 35Q92 PDF BibTeX XML Cite \textit{M. K. Brun} et al., SIAM J. Appl. Math. 82, No. 2, 450--475 (2022; Zbl 1486.92132) Full Text: DOI OpenURL
Akrivis, Georgios; Makridakis, Charalambos G. A posteriori error estimates for Radau IIA methods via maximal parabolic regularity. (English) Zbl 07501297 Numer. Math. 150, No. 3, 691-717 (2022). MSC: 65M06 65M15 65M12 35B65 PDF BibTeX XML Cite \textit{G. Akrivis} and \textit{C. G. Makridakis}, Numer. Math. 150, No. 3, 691--717 (2022; Zbl 07501297) Full Text: DOI OpenURL
Chalhoub, Nancy; Omnes, Pascal; Sayah, Toni; El Zahlaniyeh, Rebecca A posteriori error estimates for the time-dependent convection-diffusion-reaction equation coupled with the Darcy system. (English) Zbl 07490872 Numer. Algorithms 89, No. 3, 1247-1286 (2022). MSC: 65Mxx 76-XX PDF BibTeX XML Cite \textit{N. Chalhoub} et al., Numer. Algorithms 89, No. 3, 1247--1286 (2022; Zbl 07490872) Full Text: DOI OpenURL
Manohar, Ram; Sinha, Rajen Kumar Local a posteriori error estimates for boundary control problems governed by nonlinear parabolic equations. (English) Zbl 07489826 J. Comput. Appl. Math. 409, Article ID 114146, 29 p. (2022). MSC: 65Mxx 65K10 65N30 65M60 PDF BibTeX XML Cite \textit{R. Manohar} and \textit{R. K. Sinha}, J. Comput. Appl. Math. 409, Article ID 114146, 29 p. (2022; Zbl 07489826) Full Text: DOI OpenURL
Gong, Wei; Tan, Zhiyu; Zhou, Zhaojie Optimal convergence of finite element approximation to an optimization problem with PDE constraint. (English) Zbl 07489714 Inverse Probl. 38, No. 4, Article ID 045004, 45 p. (2022). MSC: 65N30 49M41 65N12 65N21 65J20 35B45 35B65 35J15 PDF BibTeX XML Cite \textit{W. Gong} et al., Inverse Probl. 38, No. 4, Article ID 045004, 45 p. (2022; Zbl 07489714) Full Text: DOI OpenURL
Manohar, Ram; Sinha, Rajen Kumar Local a posteriori error analysis of finite element method for parabolic boundary control problems. (English) Zbl 1484.65227 J. Sci. Comput. 91, No. 1, Paper No. 17, 43 p. (2022). MSC: 65M60 65M06 65N30 65N50 35K20 49M41 93C20 PDF BibTeX XML Cite \textit{R. Manohar} and \textit{R. K. Sinha}, J. Sci. Comput. 91, No. 1, Paper No. 17, 43 p. (2022; Zbl 1484.65227) Full Text: DOI OpenURL
Sun, Lingling; Yang, Yidu The a posteriori error estimates and adaptive computation of nonconforming mixed finite elements for the Stokes eigenvalue problem. (English) Zbl 07484255 Appl. Math. Comput. 421, Article ID 126951, 18 p. (2022). MSC: 65Nxx 35Jxx 35Pxx PDF BibTeX XML Cite \textit{L. Sun} and \textit{Y. Yang}, Appl. Math. Comput. 421, Article ID 126951, 18 p. (2022; Zbl 07484255) Full Text: DOI OpenURL
Zhang, Jinling; Chen, Yanping; Huang, Yunqing; Huang, Fenglin A posteriori error estimates for \(hp\) Spectral element approximation of elliptic control problems with integral control and state constraints. (English) Zbl 07480225 Adv. Appl. Math. Mech. 14, No. 2, 469-493 (2022). MSC: 35Q93 49M25 49M41 PDF BibTeX XML Cite \textit{J. Zhang} et al., Adv. Appl. Math. Mech. 14, No. 2, 469--493 (2022; Zbl 07480225) Full Text: DOI OpenURL
Li, Yuwen; Zikatanov, Ludmil T. Residual-based a posteriori error estimates of mixed methods for a three-field Biot’s consolidation model. (English) Zbl 07465509 IMA J. Numer. Anal. 42, No. 1, 620-648 (2022). MSC: 65M60 65M06 65N30 65M15 76S05 74F10 74L10 35K05 PDF BibTeX XML Cite \textit{Y. Li} and \textit{L. T. Zikatanov}, IMA J. Numer. Anal. 42, No. 1, 620--648 (2022; Zbl 07465509) Full Text: DOI arXiv OpenURL
Chaumont-Frelet, T.; Ern, A.; Vohralík, M. Stable broken \(\boldsymbol{H}(\mathbf{curl})\) polynomial extensions and \(p\)-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem. (English) Zbl 1479.65027 Math. Comput. 91, No. 333, 37-74 (2022). MSC: 65N30 78M10 65N15 46E35 PDF BibTeX XML Cite \textit{T. Chaumont-Frelet} et al., Math. Comput. 91, No. 333, 37--74 (2022; Zbl 1479.65027) Full Text: DOI arXiv OpenURL
Yang, Ying; Shen, Ruigang; Fang, Mingjuan; Shu, Shi Local averaging type a posteriori error estimates for the nonlinear steady-state Poisson-Nernst-Planck equations. (English) Zbl 07444635 J. Comput. Appl. Math. 404, Article ID 113874, 30 p. (2022). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{Y. Yang} et al., J. Comput. Appl. Math. 404, Article ID 113874, 30 p. (2022; Zbl 07444635) Full Text: DOI arXiv OpenURL
Tang, Yuelong; Hua, Yuchun A posteriori error estimates based on superconvergence of FEM for fractional evolution equations. (English) Zbl 1482.65169 Open Math. 19, 1210-1222 (2021). MSC: 65M30 35R11 65M12 65M15 PDF BibTeX XML Cite \textit{Y. Tang} and \textit{Y. Hua}, Open Math. 19, 1210--1222 (2021; Zbl 1482.65169) Full Text: DOI OpenURL
Allendes, Alejandro; Fuica, Francisco; Otárola, Enrique; Quero, Daniel A posteriori error estimates for semilinear optimal control problems. (English) Zbl 1485.35200 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2293-2322 (2021). MSC: 35J61 49J20 49M25 65N15 65N30 PDF BibTeX XML Cite \textit{A. Allendes} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2293--2322 (2021; Zbl 1485.35200) Full Text: DOI arXiv OpenURL
Manohar, Ram; Sinha, Rajen Kumar A posteriori \(L^\infty(L^\infty)\)-error estimates for finite-element approximations to parabolic optimal control problems. (English) Zbl 07453248 Comput. Appl. Math. 40, No. 8, Paper No. 298, 31 p. (2021). MSC: 49J20 49M05 49M15 49M25 49M29 65N30 PDF BibTeX XML Cite \textit{R. Manohar} and \textit{R. K. Sinha}, Comput. Appl. Math. 40, No. 8, Paper No. 298, 31 p. (2021; Zbl 07453248) Full Text: DOI OpenURL
Shin, Dongwook; Hwang, Yoongu; Park, Eun-Jae Novel adaptive hybrid discontinuous Galerkin algorithms for elliptic problems. (English) Zbl 1476.65307 Comput. Methods Appl. Math. 21, No. 4, 929-951 (2021). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{D. Shin} et al., Comput. Methods Appl. Math. 21, No. 4, 929--951 (2021; Zbl 1476.65307) Full Text: DOI OpenURL
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 07445232 Adv. Comput. Math. 47, No. 5, Paper No. 77, 34 p. (2021). MSC: 65N30 65N15 65N50 76D07 PDF BibTeX XML Cite \textit{T. P. Barrios} et al., Adv. Comput. Math. 47, No. 5, Paper No. 77, 34 p. (2021; Zbl 07445232) Full Text: DOI OpenURL
Lin, Xiuxiu; Chen, Yanping; Huang, Yunqing Galerkin spectral methods for an elliptic optimal control problem with \(L^2\)-norm state constraint. (English) Zbl 1475.65044 Commun. Math. Sci. 19, No. 5, 1247-1267 (2021). MSC: 65K10 65N35 49J20 49M41 PDF BibTeX XML Cite \textit{X. Lin} et al., Commun. Math. Sci. 19, No. 5, 1247--1267 (2021; Zbl 1475.65044) Full Text: DOI OpenURL
Krug, Richard; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Weninger, Dieter Time-domain decomposition for optimal control problems governed by semilinear hyperbolic systems. (English) Zbl 1478.49029 SIAM J. Control Optim. 59, No. 6, 4339-4372 (2021). MSC: 49M27 49M05 35L05 49K20 93C20 PDF BibTeX XML Cite \textit{R. Krug} et al., SIAM J. Control Optim. 59, No. 6, 4339--4372 (2021; Zbl 1478.49029) Full Text: DOI OpenURL
Maity, Ruma Rani; Majumdar, Apala; Nataraj, Neela Error analysis of Nitsche’s and discontinuous Galerkin methods of a reduced Landau-de Gennes problem. (English) Zbl 1473.65312 Comput. Methods Appl. Math. 21, No. 1, 179-209 (2021). MSC: 65N30 35J65 65N15 PDF BibTeX XML Cite \textit{R. R. Maity} et al., Comput. Methods Appl. Math. 21, No. 1, 179--209 (2021; Zbl 1473.65312) Full Text: DOI arXiv OpenURL
Ahmed Blal, Khallih; Allam, Brahim; Mghazli, Zoubida A posteriori error estimates for a multi-scale finite-element method. (English) Zbl 1476.65288 Comput. Appl. Math. 40, No. 4, Paper No. 123, 25 p. (2021). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{K. Ahmed Blal} et al., Comput. Appl. Math. 40, No. 4, Paper No. 123, 25 p. (2021; Zbl 1476.65288) Full Text: DOI OpenURL
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J. The stationary Boussinesq problem under singular forcing. (English) Zbl 1473.35432 Math. Models Methods Appl. Sci. 31, No. 4, 789-827 (2021). MSC: 35Q35 35Q30 35R06 76Dxx 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{A. Allendes} et al., Math. Models Methods Appl. Sci. 31, No. 4, 789--827 (2021; Zbl 1473.35432) Full Text: DOI arXiv OpenURL
Cangiani, Andrea; Georgoulis, Emmanuil H.; Sutton, Oliver J. Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods. (English) Zbl 1473.65178 Math. Models Methods Appl. Sci. 31, No. 4, 711-751 (2021). MSC: 65M50 65N15 65N30 PDF BibTeX XML Cite \textit{A. Cangiani} et al., Math. Models Methods Appl. Sci. 31, No. 4, 711--751 (2021; Zbl 1473.65178) Full Text: DOI arXiv OpenURL
Li, Bowen; Zou, Jun An adaptive edge element method and its convergence for an electromagnetic constrained optimal control problem. (English) Zbl 07420196 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2013-2044 (2021). MSC: 65K10 65N12 65N15 65N30 49J20 PDF BibTeX XML Cite \textit{B. Li} and \textit{J. Zou}, ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2013--2044 (2021; Zbl 07420196) Full Text: DOI arXiv OpenURL
Chen, Yanli; Li, Peijun; Yuan, Xiaokai An adaptive finite element PML method for the open cavity scattering problems. (English) Zbl 1473.65295 Commun. Comput. Phys. 29, No. 5, 1505-1540 (2021). MSC: 65N30 65N15 78A45 78M10 PDF BibTeX XML Cite \textit{Y. Chen} et al., Commun. Comput. Phys. 29, No. 5, 1505--1540 (2021; Zbl 1473.65295) Full Text: DOI arXiv OpenURL
Hu, Xiaozhe; Wu, Kaiyi; Zikatanov, Ludmil T. A posteriori error estimates for multilevel methods for graph Laplacians. (English) Zbl 1481.65257 SIAM J. Sci. Comput. 43, No. 5, S727-S742 (2021). MSC: 65N55 65K10 65F10 05C50 PDF BibTeX XML Cite \textit{X. Hu} et al., SIAM J. Sci. Comput. 43, No. 5, S727--S742 (2021; Zbl 1481.65257) Full Text: DOI arXiv OpenURL
Chaumont-Frelet, T.; Lanteri, S.; Vega, P. A posteriori error estimates for finite element discretizations of time-harmonic Maxwell’s equations coupled with a non-local hydrodynamic drude model. (English) Zbl 07415650 Comput. Methods Appl. Mech. Eng. 385, Article ID 114002, 27 p. (2021). MSC: 78-XX 76-XX PDF BibTeX XML Cite \textit{T. Chaumont-Frelet} et al., Comput. Methods Appl. Mech. Eng. 385, Article ID 114002, 27 p. (2021; Zbl 07415650) Full Text: DOI arXiv OpenURL
Huang, Jianguo; Lin, Sen A posteriori error analysis of a non-consistent virtual element method for reaction diffusion equations. (English) Zbl 07413901 Appl. Math. Lett. 122, Article ID 107531, 10 p. (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{J. Huang} and \textit{S. Lin}, Appl. Math. Lett. 122, Article ID 107531, 10 p. (2021; Zbl 07413901) Full Text: DOI OpenURL
Manohar, Ram; Sinha, Rajen Kumar A posteriori error estimates for parabolic optimal control problems with controls acting on lower dimensional manifolds. (English) Zbl 1475.49006 J. Sci. Comput. 89, No. 2, Paper No. 39, 34 p. (2021). MSC: 49J20 49K20 65N15 65N30 PDF BibTeX XML Cite \textit{R. Manohar} and \textit{R. K. Sinha}, J. Sci. Comput. 89, No. 2, Paper No. 39, 34 p. (2021; Zbl 1475.49006) Full Text: DOI OpenURL
Berrone, Stefano; Vicini, Fabio A reduced basis method for a PDE-constrained optimization formulation in discrete fracture network flow simulations. (English) Zbl 07411568 Comput. Math. Appl. 99, 182-194 (2021). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{S. Berrone} and \textit{F. Vicini}, Comput. Math. Appl. 99, 182--194 (2021; Zbl 07411568) Full Text: DOI OpenURL
Tang, Bo; Chen, Yanping; Lin, Xiuxiu A posteriori error estimates of spectral Galerkin methods for multi-term time fractional diffusion equations. (English) Zbl 07410089 Appl. Math. Lett. 120, Article ID 107259, 8 p. (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{B. Tang} et al., Appl. Math. Lett. 120, Article ID 107259, 8 p. (2021; Zbl 07410089) Full Text: DOI OpenURL
Du, Shaohong; Cai, Zhiqiang Adaptive finite element method for Dirichlet boundary control of elliptic partial differential equations. (English) Zbl 1480.65332 J. Sci. Comput. 89, No. 2, Paper No. 36, 25 p. (2021). MSC: 65N30 65N06 65N12 65N15 65J15 PDF BibTeX XML Cite \textit{S. Du} and \textit{Z. Cai}, J. Sci. Comput. 89, No. 2, Paper No. 36, 25 p. (2021; Zbl 1480.65332) Full Text: DOI arXiv OpenURL
Sharma, Natasha Robust a-posteriori error estimates for weak Galerkin method for the convection-diffusion problem. (English) Zbl 07398312 Appl. Numer. Math. 170, 384-397 (2021). MSC: 65N30 65N50 65N15 76R50 PDF BibTeX XML Cite \textit{N. Sharma}, Appl. Numer. Math. 170, 384--397 (2021; Zbl 07398312) Full Text: DOI arXiv OpenURL
Li, Yuwen Recovery-based a posteriori error analysis for plate bending problems. (English) Zbl 07389374 J. Sci. Comput. 88, No. 3, Paper No. 77, 26 p. (2021). MSC: 65N30 65N15 74K20 PDF BibTeX XML Cite \textit{Y. Li}, J. Sci. Comput. 88, No. 3, Paper No. 77, 26 p. (2021; Zbl 07389374) Full Text: DOI arXiv OpenURL
Allendes, Alejandro; Fuica, Francisco; Otarola, Enrique; Quero, Daniel A posteriori error estimates for a distributed optimal control problem of the stationary Navier-Stokes equations. (English) Zbl 1480.35319 SIAM J. Control Optim. 59, No. 4, 2898-2923 (2021). MSC: 35Q35 35Q30 49M05 49M41 65N15 65N30 65N50 76D05 PDF BibTeX XML Cite \textit{A. Allendes} et al., SIAM J. Control Optim. 59, No. 4, 2898--2923 (2021; Zbl 1480.35319) Full Text: DOI arXiv OpenURL
Dedner, Andreas; Giesselmann, Jan; Pryer, Tristan; Ryan, Jennifer K. Residual estimates for post-processors in elliptic problems. (English) Zbl 07384720 J. Sci. Comput. 88, No. 2, Paper No. 34, 28 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65N12 65N50 35J25 35B45 PDF BibTeX XML Cite \textit{A. Dedner} et al., J. Sci. Comput. 88, No. 2, Paper No. 34, 28 p. (2021; Zbl 07384720) Full Text: DOI arXiv OpenURL
Giesselmann, Jan; Meyer, Fabian; Rohde, Christian Error control for statistical solutions of hyperbolic systems of conservation laws. (English) Zbl 07378109 Calcolo 58, No. 2, Paper No. 23, 29 p. (2021). MSC: 65M60 65L06 65M15 35L65 65M15 62G30 76N15 35Q31 PDF BibTeX XML Cite \textit{J. Giesselmann} et al., Calcolo 58, No. 2, Paper No. 23, 29 p. (2021; Zbl 07378109) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{V. Dolejší} et al., SIAM J. Numer. Anal. 59, No. 3, 1486--1509 (2021; Zbl 1480.65252) Full Text: DOI OpenURL
Lepe, Felipe; Otárola, Enrique; Quero, Daniel Error estimates for FEM discretizations of the Navier-Stokes equations with Dirac measures. (English) Zbl 1471.35235 J. Sci. Comput. 87, No. 3, Paper No. 97, 23 p. (2021). MSC: 35Q35 35Q30 35R06 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{F. Lepe} et al., J. Sci. Comput. 87, No. 3, Paper No. 97, 23 p. (2021; Zbl 1471.35235) Full Text: DOI OpenURL
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. (English) Zbl 1478.65121 Math. Comput. 90, No. 330, 1557-1587 (2021). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N50 65N12 65N15 26A33 35R11 PDF BibTeX XML Cite \textit{M. Faustmann} et al., Math. Comput. 90, No. 330, 1557--1587 (2021; Zbl 1478.65121) Full Text: DOI arXiv OpenURL
Kumar, Kundan; Kyas, Svetlana; Nordbotten, Jan Martin; Repin, Sergey Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. (English) Zbl 07351749 Comput. Math. Appl. 91, 122-149 (2021). MSC: 65-XX 93-XX PDF BibTeX XML Cite \textit{K. Kumar} et al., Comput. Math. Appl. 91, 122--149 (2021; Zbl 07351749) Full Text: DOI arXiv OpenURL
Fuica, Francisco; Lepe, Felipe; Otárola, Enrique; Quero, Daniel A posteriori error estimates in \(W^{1,p}\times L^p\) spaces for the Stokes system with Dirac measures. (English) Zbl 07351732 Comput. Math. Appl. 94, 47-59 (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{F. Fuica} et al., Comput. Math. Appl. 94, 47--59 (2021; Zbl 07351732) Full Text: DOI arXiv OpenURL
Carstensen, Carsten; Tran, Tien Unstabilized hybrid high-order method for a class of degenerate convex minimization problems. (English) Zbl 1473.65292 SIAM J. Numer. Anal. 59, No. 3, 1348-1373 (2021). MSC: 65N30 65N12 65N15 65N50 65K10 65Y20 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{T. Tran}, SIAM J. Numer. Anal. 59, No. 3, 1348--1373 (2021; Zbl 1473.65292) Full Text: DOI arXiv OpenURL
Dong, Zhaonan; Mascotto, Lorenzo; Sutton, Oliver J. Residual-based a posteriori error estimates for \(hp\)-discontinuous Galerkin discretizations of the biharmonic problem. (English) Zbl 1473.65297 SIAM J. Numer. Anal. 59, No. 3, 1273-1298 (2021). MSC: 65N30 65N12 65N15 65N50 31A30 PDF BibTeX XML Cite \textit{Z. Dong} et al., SIAM J. Numer. Anal. 59, No. 3, 1273--1298 (2021; Zbl 1473.65297) Full Text: DOI arXiv OpenURL
Williamson, Kevin; Cho, Heyrim; Sousedík, Bedřich Application of adaptive ANOVA and reduced basis methods to the stochastic Stokes-Brinkman problem. (English) Zbl 1461.76443 Comput. Geosci. 25, No. 3, 1191-1213 (2021). MSC: 76S05 35R60 60H35 65N75 PDF BibTeX XML Cite \textit{K. Williamson} et al., Comput. Geosci. 25, No. 3, 1191--1213 (2021; Zbl 1461.76443) Full Text: DOI arXiv OpenURL
Bao, Gang; Zhang, Mingming; Hu, Bin; Li, Peijun An adaptive finite element DtN method for the three-dimensional acoustic scattering problem. (English) Zbl 1465.65125 Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 61-79 (2021). MSC: 65N30 76M10 65N12 65N15 76Q05 78A45 74J20 35Q35 PDF BibTeX XML Cite \textit{G. Bao} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 61--79 (2021; Zbl 1465.65125) Full Text: DOI arXiv OpenURL
El Akkad, Abdeslam; Elkhalfi, Ahmed Analysis of estimators for Stokes problem using a mixed approximation. (English) Zbl 1474.05027 Bol. Soc. Parana. Mat. (3) 39, No. 6, 105-128 (2021). MSC: 05B05 05B25 20B25 PDF BibTeX XML Cite \textit{A. El Akkad} and \textit{A. Elkhalfi}, Bol. Soc. Parana. Mat. (3) 39, No. 6, 105--128 (2021; Zbl 1474.05027) Full Text: Link OpenURL
Cuesta, Eduardo; Ponce, Rodrigo Hölder regularity for abstract semi-linear fractional differential equations in Banach spaces. (English) Zbl 07327227 Comput. Math. Appl. 85, 57-68 (2021). MSC: 26-XX 65-XX PDF BibTeX XML Cite \textit{E. Cuesta} and \textit{R. Ponce}, Comput. Math. Appl. 85, 57--68 (2021; Zbl 07327227) Full Text: DOI OpenURL
Varma, V. Dhanya; Nadupuri, Suresh Kumar; Chamakuri, Nagaiah A posteriori error estimates and an adaptive finite element solution for the system of unsteady convection-diffusion-reaction equations in fluidized beds. (English) Zbl 1460.65127 Appl. Numer. Math. 163, 108-125 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M60 65M06 65N30 65M15 65M50 65H10 80A19 35Q79 PDF BibTeX XML Cite \textit{V. D. Varma} et al., Appl. Numer. Math. 163, 108--125 (2021; Zbl 1460.65127) Full Text: DOI OpenURL
Ray, Tanushree; Sinha, Rajen Kumar An adaptive finite element method for parabolic interface problems with nonzero flux jumps. (English) Zbl 07308005 Comput. Math. Appl. 82, 97-112 (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{T. Ray} and \textit{R. K. Sinha}, Comput. Math. Appl. 82, 97--112 (2021; Zbl 07308005) Full Text: DOI OpenURL
Brenner, Susanne C.; Kawecki, Ellya L. Adaptive \(C^0\) interior penalty methods for Hamilton-Jacobi-Bellman equations with cordes coefficients. (English) Zbl 1458.65145 J. Comput. Appl. Math. 388, Article ID 113241, 18 p. (2021). MSC: 65N30 65N50 65N15 PDF BibTeX XML Cite \textit{S. C. Brenner} and \textit{E. L. Kawecki}, J. Comput. Appl. Math. 388, Article ID 113241, 18 p. (2021; Zbl 1458.65145) Full Text: DOI arXiv OpenURL
Zhang, Qiuyu; Li, Jian; Huang, Pengzhan Recovery type a posteriori error estimates for the conduction convection problem. (English) Zbl 1456.65170 Numer. Algorithms 86, No. 1, 425-441 (2021). MSC: 65N30 65N15 65N50 80A19 76D05 35Q35 PDF BibTeX XML Cite \textit{Q. Zhang} et al., Numer. Algorithms 86, No. 1, 425--441 (2021; Zbl 1456.65170) Full Text: DOI OpenURL
Pastukhova, S. E. A posteriori estimates of the deviation from exact solutions to variational problems under nonstandard coerciveness and growth conditions. (English. Russian original) Zbl 1455.49006 St. Petersbg. Math. J. 32, No. 1, 39-57 (2021); translation from Algebra Anal. 32, No. 1, 51-77 (2020). MSC: 49J40 49N15 PDF BibTeX XML Cite \textit{S. E. Pastukhova}, St. Petersbg. Math. J. 32, No. 1, 39--57 (2021; Zbl 1455.49006); translation from Algebra Anal. 32, No. 1, 51--77 (2020) Full Text: DOI OpenURL
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 OpenURL
Girault, Vivette; Lu, Xueying; Wheeler, Mary F. A posteriori error estimates for Biot system using enriched Galerkin for flow. (English) Zbl 07413158 Comput. Methods Appl. Mech. Eng. 369, Article ID 113185, 53 p. (2020). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{V. Girault} et al., Comput. Methods Appl. Mech. Eng. 369, Article ID 113185, 53 p. (2020; Zbl 07413158) Full Text: DOI OpenURL
Mao, Wenting; Chen, Yanping; Leng, Haitao Equivalent a posteriori error estimators for semilinear elliptic equations with Dirac right-hand side. (English) Zbl 07409056 Adv. Appl. Math. Mech. 12, No. 3, 835-848 (2020). MSC: 65L10 65L60 65M70 PDF BibTeX XML Cite \textit{W. Mao} et al., Adv. Appl. Math. Mech. 12, No. 3, 835--848 (2020; Zbl 07409056) Full Text: DOI OpenURL
Wang, Huasheng; Chen, Yanping; Huang, Yunqing; Mao, Wenting A posteriori error estimates of the Galerkin spectral methods for space-time fractional diffusion equations. (English) Zbl 07409025 Adv. Appl. Math. Mech. 12, No. 1, 87-100 (2020). MSC: 65M70 65M12 65N35 65M60 65N30 65M15 26A33 35R11 PDF BibTeX XML Cite \textit{H. Wang} et al., Adv. Appl. Math. Mech. 12, No. 1, 87--100 (2020; Zbl 07409025) Full Text: DOI OpenURL
Manohar, Ram; Sinha, Rajen Kumar Space-time a posteriori error analysis of finite element approximation for parabolic optimal control problems: a reconstruction approach. (English) Zbl 1469.49023 Optim. Control Appl. Methods 41, No. 5, 1543-1567 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 49K20 65M60 PDF BibTeX XML Cite \textit{R. Manohar} and \textit{R. K. Sinha}, Optim. Control Appl. Methods 41, No. 5, 1543--1567 (2020; Zbl 1469.49023) Full Text: DOI OpenURL
Leonov, Alexander S.; Wang, Yanfei; Yagola, Anatoly G. Piecewise uniform regularization for the inverse problem of microtomography with a-posteriori error estimate. (English) Zbl 1461.65111 Inverse Probl. Sci. Eng. 28, No. 4, 448-458 (2020). MSC: 65J22 65K10 65R32 65R30 PDF BibTeX XML Cite \textit{A. S. Leonov} et al., Inverse Probl. Sci. Eng. 28, No. 4, 448--458 (2020; Zbl 1461.65111) Full Text: DOI OpenURL
Reyes, Ricardo; Codina, Ramon Element boundary terms in reduced order models for flow problems: domain decomposition and adaptive coarse mesh hyper-reduction. (English) Zbl 07337983 Comput. Methods Appl. Mech. Eng. 368, Article ID 113159, 27 p. (2020). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{R. Reyes} and \textit{R. Codina}, Comput. Methods Appl. Mech. Eng. 368, Article ID 113159, 27 p. (2020; Zbl 07337983) Full Text: DOI OpenURL
Lu, Zuliang; Huang, Fei; Lin, Li; Cai, Fei; Yang, Yin A priori and posteriori error estimates of Legendre Galerkin spectral methods for general elliptic optimal control problems. (English) Zbl 1461.49006 J. Math. Inequal. 14, No. 4, 989-1006 (2020). MSC: 49J20 65N30 PDF BibTeX XML Cite \textit{Z. Lu} et al., J. Math. Inequal. 14, No. 4, 989--1006 (2020; Zbl 1461.49006) Full Text: DOI OpenURL
Leonov, Alexander S. Source recovery with a posteriori error estimates in linear partial differential equations. (English) Zbl 1466.65105 J. Inverse Ill-Posed Probl. 28, No. 5, 677-692 (2020). MSC: 65M32 65M60 65M15 65M12 65J20 35N30 35A01 35A02 PDF BibTeX XML Cite \textit{A. S. Leonov}, J. Inverse Ill-Posed Probl. 28, No. 5, 677--692 (2020; Zbl 1466.65105) Full Text: DOI OpenURL
Mora, David; Rivera, Gonzalo A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations. (English) Zbl 1466.65197 IMA J. Numer. Anal. 40, No. 1, 322-357 (2020). MSC: 65N30 65N25 65N50 65N15 74B05 74H45 35Q74 PDF BibTeX XML Cite \textit{D. Mora} and \textit{G. Rivera}, IMA J. Numer. Anal. 40, No. 1, 322--357 (2020; Zbl 1466.65197) Full Text: DOI arXiv OpenURL
Giesselmann, Jan; Meyer, Fabian; Rohde, Christian An a posteriori error analysis based on non-intrusive spectral projections for systems of random conservation laws. (English) Zbl 1459.35287 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 449-456 (2020). MSC: 35L65 35R60 65M15 65M60 65M70 PDF BibTeX XML Cite \textit{J. Giesselmann} et al., AIMS Ser. Appl. Math. 10, 449--456 (2020; Zbl 1459.35287) Full Text: arXiv OpenURL
Giesselmann, Jan; Joshi, Hrishikesh Model adaptation of chemically reacting flows based on a posteriori error estimates. (English) Zbl 1459.35286 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 442-448 (2020). MSC: 35L65 35B25 65M15 92E20 PDF BibTeX XML Cite \textit{J. Giesselmann} and \textit{H. Joshi}, AIMS Ser. Appl. Math. 10, 442--448 (2020; Zbl 1459.35286) OpenURL
Holst, Michael; Li, Yuwen; Mihalik, Adam; Szypowski, Ryan Convergence and optimality of adaptive mixed methods for Poisson’s equation in the FEEC framework. (English) Zbl 1463.65371 J. Comput. Math. 38, No. 5, 748-767 (2020). MSC: 65N30 65N12 65N15 35J05 58A12 PDF BibTeX XML Cite \textit{M. Holst} et al., J. Comput. Math. 38, No. 5, 748--767 (2020; Zbl 1463.65371) Full Text: DOI arXiv OpenURL
Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation. (English) Zbl 1451.65197 Comput. Methods Appl. Math. 20, No. 4, 643-676 (2020). MSC: 65N30 65N15 65N50 35R06 35J20 35J61 49M29 65J15 PDF BibTeX XML Cite \textit{J. Kraus} et al., Comput. Methods Appl. Math. 20, No. 4, 643--676 (2020; Zbl 1451.65197) Full Text: DOI arXiv OpenURL
Banz, Lothar; Hintermüller, Michael; Schröder, Andreas A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by \(hp\)-finite elements. (English) Zbl 07283116 Comput. Math. Appl. 80, No. 11, 2433-2450 (2020). MSC: 65-XX 49-XX PDF BibTeX XML Cite \textit{L. Banz} et al., Comput. Math. Appl. 80, No. 11, 2433--2450 (2020; Zbl 07283116) Full Text: DOI OpenURL
Gimperlein, Heiko; Özdemir, Ceyhun; Stark, David; Stephan, Ernst P. A residual a posteriori error estimate for the time-domain boundary element method. (English) Zbl 1452.65382 Numer. Math. 146, No. 2, 239-280 (2020). MSC: 65N38 65M22 65M15 35L67 65N50 PDF BibTeX XML Cite \textit{H. Gimperlein} et al., Numer. Math. 146, No. 2, 239--280 (2020; Zbl 1452.65382) Full Text: DOI arXiv OpenURL
Repin, S. I. Estimates of the deviation from exact solutions of boundary value problems in measures stronger than the energy norm. (English. Russian original) Zbl 1450.35017 Comput. Math. Math. Phys. 60, No. 5, 749-765 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 767-783 (2020). MSC: 35A35 65M15 35J25 PDF BibTeX XML Cite \textit{S. I. Repin}, Comput. Math. Math. Phys. 60, No. 5, 749--765 (2020; Zbl 1450.35017); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 767--783 (2020) Full Text: DOI OpenURL
Chrysafinos, Konstantinos; Georgoulis, Emmanuil H.; Plaka, Dimitra A posteriori error estimates for the Allen-Cahn problem. (English) Zbl 1453.65312 SIAM J. Numer. Anal. 58, No. 5, 2662-2683 (2020). MSC: 65M60 65M06 65N30 65M15 PDF BibTeX XML Cite \textit{K. Chrysafinos} et al., SIAM J. Numer. Anal. 58, No. 5, 2662--2683 (2020; Zbl 1453.65312) Full Text: DOI arXiv OpenURL
Kyza, Irene; Metcalfe, Stephen Pointwise a posteriori error bounds for blow-up in the semilinear heat equation. (English) Zbl 1473.65202 SIAM J. Numer. Anal. 58, No. 5, 2609-2631 (2020). Reviewer: Daniel Arndt (Oak Ridge) MSC: 65M60 65M06 65N30 65M15 35B44 35K05 35K55 35K58 PDF BibTeX XML Cite \textit{I. Kyza} and \textit{S. Metcalfe}, SIAM J. Numer. Anal. 58, No. 5, 2609--2631 (2020; Zbl 1473.65202) Full Text: DOI arXiv OpenURL
Asadzadeh, Mohammad; Beilina, Larisa Convergence of stabilized \(P_1\) finite element scheme for time harmonic Maxwell’s equations. (English) Zbl 1446.65158 Beilina, Larisa (ed.) et al., Mathematical and numerical approaches for multi-wave inverse problems. Selected papers based on the presentations at the conference, CIRM, Marseille, France, April 1–5, 2019. Cham: Springer. Springer Proc. Math. Stat. 328, 33-43 (2020). MSC: 65N30 78M10 65N12 65N15 35B45 35Q61 PDF BibTeX XML Cite \textit{M. Asadzadeh} and \textit{L. Beilina}, Springer Proc. Math. Stat. 328, 33--43 (2020; Zbl 1446.65158) Full Text: DOI arXiv OpenURL
Giesselmann, Jan; Joshi, Hrishikesh Model adaptation of balance laws based on a posteriori error estimates and surrogate fluxes. (English) Zbl 1454.65117 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 375-383 (2020). MSC: 65M60 68T05 65M12 65M15 76V05 80A32 35Q31 PDF BibTeX XML Cite \textit{J. Giesselmann} and \textit{H. Joshi}, Springer Proc. Math. Stat. 323, 375--383 (2020; Zbl 1454.65117) Full Text: DOI OpenURL
Fu, Zhenwu; Jin, Qinian; Zhang, Zhengqiang; Han, Bo; Chen, Yong Analysis of a heuristic rule for the IRGNM in Banach spaces with convex regularization terms. (English) Zbl 1445.49018 Inverse Probl. 36, No. 7, Article ID 075002, 25 p. (2020). MSC: 49N45 49M15 49J45 PDF BibTeX XML Cite \textit{Z. Fu} et al., Inverse Probl. 36, No. 7, Article ID 075002, 25 p. (2020; Zbl 1445.49018) Full Text: DOI OpenURL
Giesselmann, Jan; Meyer, Fabian; Rohde, Christian A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws. (English) Zbl 1446.65111 BIT 60, No. 3, 619-649 (2020). MSC: 65M60 65L06 65N30 65M70 65M50 65M15 35L65 35R60 62F15 PDF BibTeX XML Cite \textit{J. Giesselmann} et al., BIT 60, No. 3, 619--649 (2020; Zbl 1446.65111) Full Text: DOI arXiv OpenURL
Demkowicz, Leszek; Gopalakrishnan, Jay; Keith, Brendan The DPG-star method. (English) Zbl 1447.65133 Comput. Math. Appl. 79, No. 11, 3092-3116 (2020). MSC: 65N30 65F20 65N12 65N15 35B45 35N25 PDF BibTeX XML Cite \textit{L. Demkowicz} et al., Comput. Math. Appl. 79, No. 11, 3092--3116 (2020; Zbl 1447.65133) Full Text: DOI arXiv OpenURL
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J. A posteriori error estimates for the stationary Navier-Stokes equations with Dirac measures. (English) Zbl 1448.35384 SIAM J. Sci. Comput. 42, No. 3, A1860-A1884 (2020). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q35 35Q30 35R06 76D05 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{A. Allendes} et al., SIAM J. Sci. Comput. 42, No. 3, A1860--A1884 (2020; Zbl 1448.35384) Full Text: DOI arXiv OpenURL
Bonito, Andrea; Demlow, Alan; Nochetto, Ricardo H. Finite element methods for the Laplace-Beltrami operator. (English) Zbl 1455.35187 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part I. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 21, 1-103 (2020). MSC: 35Q35 76D07 35B45 35B65 35J05 58J05 65N30 65N15 PDF BibTeX XML Cite \textit{A. Bonito} et al., Handb. Numer. Anal. 21, 1--103 (2020; Zbl 1455.35187) Full Text: DOI arXiv OpenURL
Wang, Wansheng; Yi, Lijun; Xiao, Aiguo A posteriori error estimates for fully discrete finite element method for generalized diffusion equation with delay. (English) Zbl 1453.65346 J. Sci. Comput. 84, No. 1, Paper No. 13, 27 p. (2020). MSC: 65M60 65M06 65N30 65M15 65M50 65L03 65L70 65L20 35R07 PDF BibTeX XML Cite \textit{W. Wang} et al., J. Sci. Comput. 84, No. 1, Paper No. 13, 27 p. (2020; Zbl 1453.65346) Full Text: DOI OpenURL
Leonov, A. S. Effective algorithms for computing global and local posterior error estimates of solutions to linear ill-posed problems. (English. Russian original) Zbl 1441.47008 Russ. Math. 64, No. 2, 26-34 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 2, 29-38 (2020). MSC: 47A52 65J20 PDF BibTeX XML Cite \textit{A. S. Leonov}, Russ. Math. 64, No. 2, 26--34 (2020; Zbl 1441.47008); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 2, 29--38 (2020) Full Text: DOI OpenURL
Baccouch, Mahboub An adaptive local discontinuous Galerkin method for nonlinear two-point boundary-value problems. (English) Zbl 1444.65036 Numer. Algorithms 84, No. 3, 1121-1153 (2020). Reviewer: Kevin Burrage (Brisbane) MSC: 65L10 65L50 65L60 65L70 PDF BibTeX XML Cite \textit{M. Baccouch}, Numer. Algorithms 84, No. 3, 1121--1153 (2020; Zbl 1444.65036) Full Text: DOI OpenURL
Zhang, Yu; Bi, Hai; Yang, Yidu The adaptive finite element method for the Steklov eigenvalue problem in inverse scattering. (English) Zbl 1442.65341 Open Math. 18, 216-236 (2020). MSC: 65N25 65N30 65N15 65N50 35P25 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Open Math. 18, 216--236 (2020; Zbl 1442.65341) Full Text: DOI OpenURL
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 OpenURL
Chen, Gang; Cui, Jintao On the error estimates of a hybridizable discontinuous Galerkin method for second-order elliptic problem with discontinuous coefficients. (English) Zbl 1465.65131 IMA J. Numer. Anal. 40, No. 2, 1577-1600 (2020). MSC: 65N30 65N15 35B65 35J15 PDF BibTeX XML Cite \textit{G. Chen} and \textit{J. Cui}, IMA J. Numer. Anal. 40, No. 2, 1577--1600 (2020; Zbl 1465.65131) Full Text: DOI OpenURL
Meyer, Fabian; Rohde, Christian; Giesselmann, Jan A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. (English) Zbl 1464.65124 IMA J. Numer. Anal. 40, No. 2, 1094-1121 (2020). MSC: 65M60 65M75 65M15 65L06 60H35 35R60 PDF BibTeX XML Cite \textit{F. Meyer} et al., IMA J. Numer. Anal. 40, No. 2, 1094--1121 (2020; Zbl 1464.65124) Full Text: DOI arXiv OpenURL