Guo, Yuling; Huang, Jianguo A posteriori error analysis of a \(P_2\)-CDG space-time finite element method for the wave equation. (English) Zbl 07568038 Numer. Math., Theory Methods Appl. 15, No. 3, 662-678 (2022). MSC: 65M60 65M15 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{J. Huang}, Numer. Math., Theory Methods Appl. 15, No. 3, 662--678 (2022; Zbl 07568038) Full Text: DOI OpenURL
Jiang, Xue; Li, Peijun; Lv, Junliang; Wang, Zhoufeng; Wu, Haijun; Zheng, Weiying An adaptive edge finite element DtN method for Maxwell’s equations in biperiodic structures. (English) Zbl 07563209 IMA J. Numer. Anal. 42, No. 3, 2794-2828 (2022). MSC: 65-XX PDF BibTeX XML Cite \textit{X. Jiang} et al., IMA J. Numer. Anal. 42, No. 3, 2794--2828 (2022; Zbl 07563209) Full Text: DOI OpenURL
Mallik, Gouranga Goal-oriented a posteriori error estimation for the biharmonic problem based on an equilibrated moment tensor. (English) Zbl 07546693 Comput. Math. Appl. 117, 312-325 (2022). MSC: 65-XX 62-XX PDF BibTeX XML Cite \textit{G. Mallik}, Comput. Math. Appl. 117, 312--325 (2022; Zbl 07546693) Full Text: DOI OpenURL
Wang, Qiming; Zhou, Zhaojie A priori and a posteriori error analysis for virtual element discretization of elliptic optimal control problem. (English) Zbl 07540326 Numer. Algorithms 90, No. 3, 989-1015 (2022). MSC: 65-XX PDF BibTeX XML Cite \textit{Q. Wang} and \textit{Z. Zhou}, Numer. Algorithms 90, No. 3, 989--1015 (2022; Zbl 07540326) Full Text: DOI OpenURL
Li, Fei; Yi, Nianyu A posteriori error estimates of goal-oriented adaptive finite element methods for nonlinear reaction-diffusion problems. (English) Zbl 1486.65257 J. Comput. Appl. Math. 412, Article ID 114362, 18 p. (2022). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{F. Li} and \textit{N. Yi}, J. Comput. Appl. Math. 412, Article ID 114362, 18 p. (2022; Zbl 1486.65257) Full Text: DOI OpenURL
Liu, Dongjie; Zhou, Le; Zhang, Xiaoping On an adaptive LDG for the \(p\)-Laplace problem. (English) Zbl 1485.65120 Int. J. Numer. Anal. Model. 19, No. 2-3, 315-328 (2022). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{D. Liu} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 315--328 (2022; Zbl 1485.65120) Full Text: Link OpenURL
Nepal, Surendra; Wondmagegne, Yosief; Muntean, Adrian Error estimates for semi-discrete finite element approximations for a moving boundary problem capturing the penetration of diffusants into rubber. (English) Zbl 07509159 Int. J. Numer. Anal. Model. 19, No. 1, 101-125 (2022). MSC: 65M15 65M20 65M60 35R37 PDF BibTeX XML Cite \textit{S. Nepal} et al., Int. J. Numer. Anal. Model. 19, No. 1, 101--125 (2022; Zbl 07509159) Full Text: Link OpenURL
Li, Fei; Yi, Nianyu Analysis of a goal-oriented adaptive two-grid finite-element algorithm for semilinear elliptic problems. (English) Zbl 07507661 Comput. Appl. Math. 41, No. 3, Paper No. 108, 29 p. (2022). MSC: 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{F. Li} and \textit{N. Yi}, Comput. Appl. Math. 41, No. 3, Paper No. 108, 29 p. (2022; Zbl 07507661) Full Text: DOI OpenURL
Di Pietro, Daniele A.; Fontana, Ilaria; Kazymyrenko, Kyrylo A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche’s method. (English) Zbl 07504614 Comput. Math. Appl. 111, 61-80 (2022). MSC: 74-XX 65-XX PDF BibTeX XML Cite \textit{D. A. Di Pietro} et al., Comput. Math. Appl. 111, 61--80 (2022; Zbl 07504614) Full Text: DOI OpenURL
Bertoluzza, Silvia; Burman, Erik; He, Cuiyu An a posteriori error estimate of the outer normal derivative using dual weights. (English) Zbl 07498290 SIAM J. Numer. Anal. 60, No. 1, 475-501 (2022). MSC: 65N50 65N30 65N15 PDF BibTeX XML Cite \textit{S. Bertoluzza} et al., SIAM J. Numer. Anal. 60, No. 1, 475--501 (2022; Zbl 07498290) Full Text: DOI OpenURL
Ju, Xiaozhe; Mahnken, Rolf; Xu, Yangjian; Liang, Lihua Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua. (English) Zbl 07492697 Comput. Mech. 69, No. 3, 847-863 (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{X. Ju} et al., Comput. Mech. 69, No. 3, 847--863 (2022; Zbl 07492697) 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
Reddy, G. Murali Mohan Fully discrete a posteriori error estimates for parabolic integro-differential equations using the two-step backward differentiation formula. (English) Zbl 07489368 BIT 62, No. 1, 251-277 (2022). MSC: 65M60 65M06 65N30 65M15 35R09 45K05 PDF BibTeX XML Cite \textit{G. M. M. Reddy}, BIT 62, No. 1, 251--277 (2022; Zbl 07489368) Full Text: DOI OpenURL
Li, Yanjun; Bi, Hai; Yang, Yidu The a priori and a posteriori error estimates of DG method for the Steklov eigenvalue problem in inverse scattering. (English) Zbl 07488730 J. Sci. Comput. 91, No. 1, Paper No. 20, 32 p. (2022). MSC: 65N25 65N30 65N15 PDF BibTeX XML Cite \textit{Y. Li} et al., J. Sci. Comput. 91, No. 1, Paper No. 20, 32 p. (2022; Zbl 07488730) Full Text: DOI OpenURL
Leng, Haitao; Chen, Yanping A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac delta source. (English) Zbl 07488336 ESAIM, Math. Model. Numer. Anal. 56, No. 2, 385-406 (2022). MSC: 65K10 65M50 PDF BibTeX XML Cite \textit{H. Leng} and \textit{Y. Chen}, ESAIM, Math. Model. Numer. Anal. 56, No. 2, 385--406 (2022; Zbl 07488336) Full Text: DOI OpenURL
Papež, Jan; Vohralík, Martin Inexpensive guaranteed and efficient upper bounds on the algebraic error in finite element discretizations. (English) Zbl 07456981 Numer. Algorithms 89, No. 1, 371-407 (2022). MSC: 65N30 65N22 65N50 65N15 76M10 65F10 PDF BibTeX XML Cite \textit{J. Papež} and \textit{M. Vohralík}, Numer. Algorithms 89, No. 1, 371--407 (2022; Zbl 07456981) Full Text: DOI OpenURL
Zhou, Jianwei; Li, Huiyuan; Zhang, Zhimin A posteriori error estimates of spectral approximations for second order partial differential equations in spherical geometries. (English) Zbl 07454838 J. Sci. Comput. 90, No. 1, Paper No. 56, 30 p. (2022). MSC: 65N15 65N35 35B25 PDF BibTeX XML Cite \textit{J. Zhou} et al., J. Sci. Comput. 90, No. 1, Paper No. 56, 30 p. (2022; Zbl 07454838) Full Text: DOI OpenURL
Zeng, Yuping; Wang, Feng; Weng, Zhifeng; Hu, Hanzhang A posteriori error estimates for a modified weak Galerkin finite element approximation of second order elliptic problems with DG norm. (English) Zbl 07533077 J. Comput. Math. 39, No. 5, 755-776 (2021). MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{Y. Zeng} et al., J. Comput. Math. 39, No. 5, 755--776 (2021; Zbl 07533077) Full Text: DOI OpenURL
Zhang, Hongwu; Zhang, Xiaoju Tikhonov-type regularization method for a sideways problem of the time-fractional diffusion equation. (English) Zbl 1484.65199 AIMS Math. 6, No. 1, 90-101 (2021). MSC: 65M32 35R11 35R30 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{X. Zhang}, AIMS Math. 6, No. 1, 90--101 (2021; Zbl 1484.65199) Full Text: DOI OpenURL
Bao, Gang; Jiang, Xue; Li, Peijun; Yuan, Xiaokai An adaptive finite element DtN method for the elastic wave scattering by biperiodic structures. (English) Zbl 07477266 ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2921-2947 (2021). Reviewer: Adina Chirila (Braşov) MSC: 35Q74 74J20 74B10 35J05 65N30 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{G. Bao} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2921--2947 (2021; Zbl 07477266) Full Text: DOI arXiv OpenURL
Bao, Gang; Li, Peijun; Yuan, Xiaokai An adaptive finite element DtN method for the elastic wave scattering problem in three dimensions. (English) Zbl 1479.65024 SIAM J. Numer. Anal. 59, No. 6, 2900-2925 (2021). MSC: 65N30 65N50 65N12 65N15 74J20 PDF BibTeX XML Cite \textit{G. Bao} et al., SIAM J. Numer. Anal. 59, No. 6, 2900--2925 (2021; Zbl 1479.65024) Full Text: DOI arXiv OpenURL
Chaumont-Frelet, Théophile; Vohralík, Martin Equivalence of local-best and global-best approximations in \(\boldsymbol{H}(\mathrm{curl})\). (English) Zbl 07444711 Calcolo 58, No. 4, Paper No. 53, 12 p. (2021). MSC: 65N30 41A10 41A50 65D05 65N15 PDF BibTeX XML Cite \textit{T. Chaumont-Frelet} and \textit{M. Vohralík}, Calcolo 58, No. 4, Paper No. 53, 12 p. (2021; Zbl 07444711) Full Text: DOI OpenURL
Zhao, Zheng; Emzir, Muhammad; Särkkä, Simo Deep state-space Gaussian processes. (English) Zbl 1475.62068 Stat. Comput. 31, No. 6, Paper No. 75, 26 p. (2021). MSC: 62-08 62M20 PDF BibTeX XML Cite \textit{Z. Zhao} et al., Stat. Comput. 31, No. 6, Paper No. 75, 26 p. (2021; Zbl 1475.62068) Full Text: DOI arXiv OpenURL
Miraçi, Ani; Papež, Jan; Vohralík, Martin Contractive local adaptive smoothing based on Dörfler’s marking in a-posteriori-steered \(p\)-robust multigrid solvers. (English) Zbl 1476.65327 Comput. Methods Appl. Math. 21, No. 2, 445-468 (2021). MSC: 65N55 65N30 65F10 65N15 65N22 PDF BibTeX XML Cite \textit{A. Miraçi} et al., Comput. Methods Appl. Math. 21, No. 2, 445--468 (2021; Zbl 1476.65327) Full Text: DOI OpenURL
Wang, Ying; Wang, Gang; Wang, Feng An adaptive virtual element method for incompressible flow. (English) Zbl 07419170 Comput. Math. Appl. 101, 63-73 (2021). MSC: 76M99 76D07 76D05 65N15 65N50 PDF BibTeX XML Cite \textit{Y. Wang} et al., Comput. Math. Appl. 101, 63--73 (2021; Zbl 07419170) Full Text: DOI OpenURL
Liu, Ying; Nie, Yufeng A priori and a posteriori error estimates of the weak Galerkin finite element method for parabolic problems. (English) Zbl 07411560 Comput. Math. Appl. 99, 73-83 (2021). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{Y. Liu} and \textit{Y. Nie}, Comput. Math. Appl. 99, 73--83 (2021; Zbl 07411560) Full Text: DOI OpenURL
Zeng, Yuping; Weng, Zhifeng; Hu, Hanzhang A priori and a posteriori error estimates of a WOPSIP DG method for a simplified frictional contact problem. (Chinese. English summary) Zbl 07404381 Math. Numer. Sin. 43, No. 2, 162-176 (2021). MSC: 65N30 65N15 35A23 74M10 74M15 35Q74 PDF BibTeX XML Cite \textit{Y. Zeng} et al., Math. Numer. Sin. 43, No. 2, 162--176 (2021; Zbl 07404381) Full Text: DOI OpenURL
Nakonechnyi, Oleksandr; Podlipenko, Yuri; Shestopalov, Yury Guaranteed a posteriori estimation of uncertain data in exterior Neumann problems for Helmholtz equation from inexact indirect observations of their solutions. (English) Zbl 1473.35656 Inverse Probl. Sci. Eng. 29, No. 4, 525-535 (2021). MSC: 35R30 35J05 35J25 65N21 PDF BibTeX XML Cite \textit{O. Nakonechnyi} et al., Inverse Probl. Sci. Eng. 29, No. 4, 525--535 (2021; Zbl 1473.35656) Full Text: DOI OpenURL
Ashby, B.; Bortolozo, C.; Lukyanov, A.; Pryer, T. Adaptive modelling of variably saturated seepage problems. (English) Zbl 1477.76053 Q. J. Mech. Appl. Math. 74, No. 1, 55-81 (2021). Reviewer: Petr Sváček (Praha) MSC: 76M10 76S05 65N30 65N15 86A05 PDF BibTeX XML Cite \textit{B. Ashby} et al., Q. J. Mech. Appl. Math. 74, No. 1, 55--81 (2021; Zbl 1477.76053) Full Text: DOI arXiv OpenURL
Ern, Alexndre; Vohralík, Martin; Zakerzadeh, Mohammad Guaranteed and robust \(L^2 \)-norm a posteriori error estimates for 1D linear advection problems. (English) Zbl 07395677 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 447-474 (2021). MSC: 65N30 35F05 65N15 PDF BibTeX XML Cite \textit{A. Ern} et al., ESAIM, Math. Model. Numer. Anal. 55, 447--474 (2021; Zbl 07395677) Full Text: DOI arXiv OpenURL
Wang, Yangshuai; Chen, Huajie; Liao, Mingjie; Ortner, Christoph; Wang, Hao; Zhang, Lei A posteriori error estimates for adaptive QM/MM coupling methods. (English) Zbl 1486.65266 SIAM J. Sci. Comput. 43, No. 4, A2785-A2808 (2021). MSC: 65N30 65N12 65N15 65Q10 65Z05 74N15 81V55 PDF BibTeX XML Cite \textit{Y. Wang} et al., SIAM J. Sci. Comput. 43, No. 4, A2785--A2808 (2021; Zbl 1486.65266) Full Text: DOI arXiv OpenURL
Ainsworth, Mark; Dong, Justin Galerkin neural networks: a framework for approximating variational equations with error control. (English) Zbl 1486.65238 SIAM J. Sci. Comput. 43, No. 4, A2474-A2501 (2021). MSC: 65N30 65N12 65N15 35A15 68T07 35R02 PDF BibTeX XML Cite \textit{M. Ainsworth} and \textit{J. Dong}, SIAM J. Sci. Comput. 43, No. 4, A2474--A2501 (2021; Zbl 1486.65238) Full Text: DOI arXiv OpenURL
Hinze, Michael; Korolev, Denis A space-time certified reduced basis method for quasilinear parabolic partial differential equations. (English) Zbl 1486.65169 Adv. Comput. Math. 47, No. 3, Paper No. 36, 26 p. (2021). MSC: 65M60 65M06 65N30 65D05 65M15 35K15 35K59 PDF BibTeX XML Cite \textit{M. Hinze} and \textit{D. Korolev}, Adv. Comput. Math. 47, No. 3, Paper No. 36, 26 p. (2021; Zbl 1486.65169) Full Text: DOI arXiv OpenURL
Zlatanov, Boyan Coupled best proximity points for cyclic contractive maps and their applications. (English) Zbl 07370686 Fixed Point Theory 22, No. 1, 431-452 (2021). Reviewer: Andrzej Wiśnicki (Kraków) MSC: 47H10 41A25 54H25 46B20 PDF BibTeX XML Cite \textit{B. Zlatanov}, Fixed Point Theory 22, No. 1, 431--452 (2021; Zbl 07370686) Full Text: Link OpenURL
Miraçi, Ani; Papež, Jan; Vohralík, Martin A-posteriori-steered \(p\)-robust multigrid with optimal step-sizes and adaptive number of smoothing steps. (English) Zbl 1486.65280 SIAM J. Sci. Comput. 43, No. 5, S117-S145 (2021). Reviewer: Zhiming Chen (Beijing) MSC: 65N55 65N30 65N50 65N12 65F10 65N15 65N22 35J15 PDF BibTeX XML Cite \textit{A. Miraçi} et al., SIAM J. Sci. Comput. 43, No. 5, S117--S145 (2021; Zbl 1486.65280) Full Text: DOI OpenURL
Xie, Shenglan; Han, Maoan; Zhu, Peng A posteriori error estimate of weak Galerkin FEM for second order elliptic problem with mixed boundary condition. (English) Zbl 1476.65311 Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5217-5226 (2021). MSC: 65N30 65N15 35J25 PDF BibTeX XML Cite \textit{S. Xie} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5217--5226 (2021; Zbl 1476.65311) Full Text: DOI OpenURL
Leng, Haitao; Chen, Huangxin Adaptive HDG methods for the Brinkman equations with application to optimal control. (English) Zbl 1462.49055 J. Sci. Comput. 87, No. 2, Paper No. 46, 34 p. (2021). MSC: 49M25 65K10 65M50 PDF BibTeX XML Cite \textit{H. Leng} and \textit{H. Chen}, J. Sci. Comput. 87, No. 2, Paper No. 46, 34 p. (2021; Zbl 1462.49055) Full Text: DOI OpenURL
Kurz, Stefan; Pauly, Dirk; Praetorius, Dirk; Repin, Sergey; Sebastian, Daniel Functional a posteriori error estimates for boundary element methods. (English) Zbl 1464.65234 Numer. Math. 147, No. 4, 937-966 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 65N30 65N35 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{S. Kurz} et al., Numer. Math. 147, No. 4, 937--966 (2021; Zbl 1464.65234) Full Text: DOI arXiv OpenURL
Carstensen, Carsten; Nataraj, Neela Adaptive Morley FEM for the von Kármán equations with optimal convergence rates. (English) Zbl 1467.65107 SIAM J. Numer. Anal. 59, No. 2, 696-719 (2021). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N30 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{N. Nataraj}, SIAM J. Numer. Anal. 59, No. 2, 696--719 (2021; Zbl 1467.65107) Full Text: DOI arXiv OpenURL
Gallistl, Dietmar A posteriori error analysis of the inf-sup constant for the divergence. (English) Zbl 1456.65145 SIAM J. Numer. Anal. 59, No. 1, 249-264 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N15 65N12 65N30 76D07 35Q35 PDF BibTeX XML Cite \textit{D. Gallistl}, SIAM J. Numer. Anal. 59, No. 1, 249--264 (2021; Zbl 1456.65145) Full Text: DOI OpenURL
Cancès, Clément; Nabet, Flore; Vohralík, Martin Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations. (English) Zbl 1456.65105 Math. Comput. 90, No. 328, 517-563 (2021). MSC: 65M60 65M06 65M12 35K65 65M15 35Q84 PDF BibTeX XML Cite \textit{C. Cancès} et al., Math. Comput. 90, No. 328, 517--563 (2021; Zbl 1456.65105) Full Text: DOI HAL OpenURL
Yücel, Hamdullah Goal-oriented a posteriori error estimation for Dirichlet boundary control problems. (English) Zbl 1484.65139 J. Comput. Appl. Math. 381, Article ID 113012, 22 p. (2021). MSC: 65K10 49M25 65N30 65N15 PDF BibTeX XML Cite \textit{H. Yücel}, J. Comput. Appl. Math. 381, Article ID 113012, 22 p. (2021; Zbl 1484.65139) Full Text: DOI OpenURL
Zhang, Hongwu; Zhang, Xiaoju Solving the Riesz-Feller space-fractional backward diffusion problem by a generalized Tikhonov method. (English) Zbl 1485.35411 Adv. Difference Equ. 2020, Paper No. 390, 16 p. (2020). MSC: 35R11 35R25 26A33 65M30 65M32 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{X. Zhang}, Adv. Difference Equ. 2020, Paper No. 390, 16 p. (2020; Zbl 1485.35411) Full Text: DOI OpenURL
Liao, Mingjie; Lin, Ping; Zhang, Lei A posteriori error estimate and adaptive mesh refinement algorithm for atomistic/continuum coupling with finite range interactions in two dimensions. (English) Zbl 1473.65267 Commun. Comput. Phys. 27, No. 1, 198-226 (2020). MSC: 65N15 65N12 70C20 82D25 PDF BibTeX XML Cite \textit{M. Liao} et al., Commun. Comput. Phys. 27, No. 1, 198--226 (2020; Zbl 1473.65267) Full Text: DOI arXiv OpenURL
Shen, Ruigang; Shu, Shi; Yang, Ying; Fang, Mingjuan Gradient recovery-type a posteriori error estimates for steady-state Poisson-Nernst-Planck equations. (English) Zbl 07409079 Adv. Appl. Math. Mech. 12, No. 6, 1353-1383 (2020). MSC: 65N30 65N15 82M10 78A30 35Q82 PDF BibTeX XML Cite \textit{R. Shen} et al., Adv. Appl. Math. Mech. 12, No. 6, 1353--1383 (2020; Zbl 07409079) Full Text: DOI OpenURL
Zhang, Yuanyuan; Yang, Min A posteriori error analysis of any order finite volume methods for elliptic problems. (English) Zbl 07409045 Adv. Appl. Math. Mech. 12, No. 2, 564-578 (2020). MSC: 65N30 65N12 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{M. Yang}, Adv. Appl. Math. Mech. 12, No. 2, 564--578 (2020; Zbl 07409045) Full Text: DOI OpenURL
Iqbal, M.; Alam, K.; Gimperlein, H.; Laghrouche, O.; Mohamed, M. S. Effect of enrichment functions on GFEM solutions of time-dependent conduction heat transfer problems. (English) Zbl 1481.80004 Appl. Math. Modelling 85, 89-106 (2020). MSC: 80A19 65M15 65M60 PDF BibTeX XML Cite \textit{M. Iqbal} et al., Appl. Math. Modelling 85, 89--106 (2020; Zbl 1481.80004) Full Text: DOI OpenURL
Dao, T. D.; Serra, Q.; Berger, S.; Florentin, E. Error estimation of polynomial chaos approximations in transient structural dynamics. (English) Zbl 07342677 Int. J. Comput. Methods 17, No. 10, Article ID 2050003, 23 p. (2020). MSC: 74-XX 82-XX PDF BibTeX XML Cite \textit{T. D. Dao} et al., Int. J. Comput. Methods 17, No. 10, Article ID 2050003, 23 p. (2020; Zbl 07342677) Full Text: DOI OpenURL
Dabaghi, Jad; Martin, Vincent; Vohralík, Martin A posteriori estimates distinguishing the error components and adaptive stopping criteria for numerical approximations of parabolic variational inequalities. (English) Zbl 07337967 Comput. Methods Appl. Mech. Eng. 367, Article ID 113105, 32 p. (2020). MSC: 65N15 65N30 49M15 65F10 65H10 90C33 PDF BibTeX XML Cite \textit{J. Dabaghi} et al., Comput. Methods Appl. Mech. Eng. 367, Article ID 113105, 32 p. (2020; Zbl 07337967) Full Text: DOI HAL OpenURL
Papež, Jan; Rüde, Ulrich; Vohralík, Martin; Wohlmuth, Barbara Sharp algebraic and total a posteriori error bounds for \(h\) and \(p\) finite elements via a multilevel approach. Recovering mass balance in any situation. (English) Zbl 07337929 Comput. Methods Appl. Mech. Eng. 371, Article ID 113243, 39 p. (2020). MSC: 76-XX 74-XX PDF BibTeX XML Cite \textit{J. Papež} et al., Comput. Methods Appl. Mech. Eng. 371, Article ID 113243, 39 p. (2020; Zbl 07337929) 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
Borisov, A. V. \(\mathcal{L}_1 \)-optimal filtering of Markov jump processes. II: Numerical analysis of particular realizations schemes. (English. Russian original) Zbl 1455.60064 Autom. Remote Control 81, No. 12, 2160-2180 (2020); translation from Avtom. Telemekh. 2020, No. 12, 24-49 (2020). MSC: 60G35 60J76 65C05 PDF BibTeX XML Cite \textit{A. V. Borisov}, Autom. Remote Control 81, No. 12, 2160--2180 (2020; Zbl 1455.60064); translation from Avtom. Telemekh. 2020, No. 12, 24--49 (2020) Full Text: DOI OpenURL
Calvetti, Daniela; Cosmo, Anna; Perotto, Simona; Somersalo, Erkki Bayesian mesh adaptation for estimating distributed parameters. (English) Zbl 1459.65217 SIAM J. Sci. Comput. 42, No. 6, A3878-A3906 (2020). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65N21 65N20 65N30 65N55 76S05 78A46 62F15 PDF BibTeX XML Cite \textit{D. Calvetti} et al., SIAM J. Sci. Comput. 42, No. 6, A3878--A3906 (2020; Zbl 1459.65217) Full Text: DOI OpenURL
Djeridi, Bochra; Ghanem, Radouen; Sissaoui, Hocine Spectral element methods a priori and a posteriori error estimates for penalized unilateral obstacle problem. (English) Zbl 1456.65109 J. Sci. Comput. 85, No. 3, Paper No. 54, 34 p. (2020). MSC: 65M60 65M70 65M06 65M15 35A23 35R35 49J20 PDF BibTeX XML Cite \textit{B. Djeridi} et al., J. Sci. Comput. 85, No. 3, Paper No. 54, 34 p. (2020; Zbl 1456.65109) Full Text: DOI OpenURL
Orlov, Viktor Nikolaevich; Leont’eva, Tat’yana Yur’evna On extension of the domain for analytical approximate solution of one class of nonlinear differential equations of the second order in a complex domain. (Russian. English summary) Zbl 1463.34361 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 24, No. 1, 174-186 (2020). MSC: 34M04 34M35 PDF BibTeX XML Cite \textit{V. N. Orlov} and \textit{T. Y. Leont'eva}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 24, No. 1, 174--186 (2020; Zbl 1463.34361) Full Text: DOI MNR OpenURL
Qiu, Weifeng; Zhang, Shun Adaptive first-order system least-squares finite element methods for second-order elliptic equations in nondivergence form. (English) Zbl 1452.65355 SIAM J. Numer. Anal. 58, No. 6, 3286-3308 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{W. Qiu} and \textit{S. Zhang}, SIAM J. Numer. Anal. 58, No. 6, 3286--3308 (2020; Zbl 1452.65355) Full Text: DOI arXiv OpenURL
Miraçi, Ani; Papež, Jan; Vohralík, Martin A multilevel algebraic error estimator and the corresponding iterative solver with \(p\)-robust behavior. (English) Zbl 1451.65222 SIAM J. Numer. Anal. 58, No. 5, 2856-2884 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65N55 65N30 65F10 65N15 65N22 35J05 PDF BibTeX XML Cite \textit{A. Miraçi} et al., SIAM J. Numer. Anal. 58, No. 5, 2856--2884 (2020; Zbl 1451.65222) Full Text: DOI OpenURL
Kokurin, M. M. Uniformly a posteriori error estimates for regularizing algorithms. (English. Russian original) Zbl 1451.65070 Comput. Math. Math. Phys. 60, No. 7, 1240-1247 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 7, 1281-1288 (2020). MSC: 65J20 65J22 PDF BibTeX XML Cite \textit{M. M. Kokurin}, Comput. Math. Math. Phys. 60, No. 7, 1240--1247 (2020; Zbl 1451.65070); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 7, 1281--1288 (2020) Full Text: DOI OpenURL
Kopteva, Natalia Lower a posteriori error estimates on anisotropic meshes. (English) Zbl 1452.65346 Numer. Math. 146, No. 1, 159-179 (2020). MSC: 65N30 65N15 65N50 35J05 PDF BibTeX XML Cite \textit{N. Kopteva}, Numer. Math. 146, No. 1, 159--179 (2020; Zbl 1452.65346) Full Text: DOI arXiv OpenURL
Pham, Duong Thanh; Le, Tung A posteriori error estimates for hypersingular integral equation on spheres with spherical splines. (English) Zbl 1452.65411 Acta Math. Vietnam. 45, No. 3, 661-692 (2020). MSC: 65R20 65R30 45E05 PDF BibTeX XML Cite \textit{D. T. Pham} and \textit{T. Le}, Acta Math. Vietnam. 45, No. 3, 661--692 (2020; Zbl 1452.65411) 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
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 HAL OpenURL
Dabaghi, Jad; Martin, Vincent; Vohralík, Martin Adaptive inexact semismooth Newton methods for the contact problem between two membranes. (English) Zbl 07229481 J. Sci. Comput. 84, No. 2, Paper No. 28, 32 p. (2020). MSC: 65Kxx 35Jxx 49Jxx 49Mxx PDF BibTeX XML Cite \textit{J. Dabaghi} et al., J. Sci. Comput. 84, No. 2, Paper No. 28, 32 p. (2020; Zbl 07229481) Full Text: DOI Link OpenURL
Liu, Qinjie; Zhang, Shun Adaptive flux-only least-squares finite element methods for linear transport equations. (English) Zbl 1448.76103 J. Sci. Comput. 84, No. 2, Paper No. 26, 22 p. (2020). MSC: 76M10 76R99 65N30 65N15 PDF BibTeX XML Cite \textit{Q. Liu} and \textit{S. Zhang}, J. Sci. Comput. 84, No. 2, Paper No. 26, 22 p. (2020; Zbl 1448.76103) Full Text: DOI arXiv OpenURL
Vlasák, Miloslav On polynomial robustness of flux reconstructions. (English) Zbl 07217103 Appl. Math., Praha 65, No. 2, 153-172 (2020). MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{M. Vlasák}, Appl. Math., Praha 65, No. 2, 153--172 (2020; Zbl 07217103) Full Text: DOI OpenURL
Cen, Zhongdi; Liu, Li-Bin; Huang, Jian A posteriori error estimation in maximum norm for a two-point boundary value problem with a Riemann-Liouville fractional derivative. (English) Zbl 07206915 Appl. Math. Lett. 102, Article ID 106086, 8 p. (2020). MSC: 65-XX 26-XX PDF BibTeX XML Cite \textit{Z. Cen} et al., Appl. Math. Lett. 102, Article ID 106086, 8 p. (2020; Zbl 07206915) Full Text: DOI OpenURL
Blechta, Jan; Málek, Josef; Vohralík, Martin Localization of the \(W^{-1,q}\) norm for local a posteriori efficiency. (English) Zbl 07199497 IMA J. Numer. Anal. 40, No. 2, 914-950 (2020). MSC: 65Jxx PDF BibTeX XML Cite \textit{J. Blechta} et al., IMA J. Numer. Anal. 40, No. 2, 914--950 (2020; Zbl 07199497) Full Text: DOI OpenURL
Botti, Michele; Riedlbeck, Rita Equilibrated stress tensor reconstruction and a posteriori error estimation for nonlinear elasticity. (English) Zbl 1437.65176 Comput. Methods Appl. Math. 20, No. 1, 39-59 (2020). MSC: 65N30 65N15 74B20 74R05 74S05 35Q74 PDF BibTeX XML Cite \textit{M. Botti} and \textit{R. Riedlbeck}, Comput. Methods Appl. Math. 20, No. 1, 39--59 (2020; Zbl 1437.65176) Full Text: DOI arXiv OpenURL
Li, Peijun; Yuan, Xiaokai Convergence of an adaptive finite element DtN method for the elastic wave scattering by periodic structures. (English) Zbl 1441.74097 Comput. Methods Appl. Mech. Eng. 360, Article ID 112722, 21 p. (2020). MSC: 74J20 65N12 65N15 74S05 65N30 PDF BibTeX XML Cite \textit{P. Li} and \textit{X. Yuan}, Comput. Methods Appl. Mech. Eng. 360, Article ID 112722, 21 p. (2020; Zbl 1441.74097) Full Text: DOI arXiv OpenURL
Gedicke, Joscha; Khan, Arbaz Divergence-conforming discontinuous Galerkin finite elements for Stokes eigenvalue problems. (English) Zbl 1455.65204 Numer. Math. 144, No. 3, 585-614 (2020). Reviewer: Wei Gong (Beijing) MSC: 65N30 65N15 65N25 PDF BibTeX XML Cite \textit{J. Gedicke} and \textit{A. Khan}, Numer. Math. 144, No. 3, 585--614 (2020; Zbl 1455.65204) Full Text: DOI arXiv OpenURL
Ern, Alexandre; Vohralík, Martin Stable broken \(H^1\) and \(H(\operatorname{div})\) polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions. (English) Zbl 1434.65253 Math. Comput. 89, No. 322, 551-594 (2020). MSC: 65N30 65N15 76M10 46E35 PDF BibTeX XML Cite \textit{A. Ern} and \textit{M. Vohralík}, Math. Comput. 89, No. 322, 551--594 (2020; Zbl 1434.65253) Full Text: DOI arXiv OpenURL
Zhou, Jianwei; Jiang, Ziwu; Xie, Huantian; Niu, Haifeng The error estimates of spectral methods for 1-dimension singularly perturbed problem. (English) Zbl 1464.65219 Appl. Math. Lett. 100, Article ID 106001, 8 p. (2020). MSC: 65N35 65N15 35B25 33C45 PDF BibTeX XML Cite \textit{J. Zhou} et al., Appl. Math. Lett. 100, Article ID 106001, 8 p. (2020; Zbl 1464.65219) Full Text: DOI OpenURL
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: 65N30 65N15 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 Link OpenURL
Li, Hengguang; Mu, Lin; Ye, Xiu A posteriori error estimates for the weak Galerkin finite element methods on polytopal meshes. (English) Zbl 1473.65268 Commun. Comput. Phys. 26, No. 2, 558-578 (2019). MSC: 65N15 65N30 35J50 PDF BibTeX XML Cite \textit{H. Li} et al., Commun. Comput. Phys. 26, No. 2, 558--578 (2019; Zbl 1473.65268) Full Text: DOI OpenURL
Mghazli, Zoubida; Naji, Ilyas Guaranteed a posteriori error estimates for a fractured porous medium. (English) Zbl 07316728 Math. Comput. Simul. 164, 163-179 (2019). MSC: 35Jxx 65Nxx PDF BibTeX XML Cite \textit{Z. Mghazli} and \textit{I. Naji}, Math. Comput. Simul. 164, 163--179 (2019; Zbl 07316728) Full Text: DOI OpenURL
Schall, Eric; Chauchat, Nicolas Implicit method and slope limiter in AHMR procedure for high order discontinuous Galerkin methods for compressible flows. (English) Zbl 1464.65126 Commun. Nonlinear Sci. Numer. Simul. 72, 371-391 (2019). MSC: 65M60 35Q35 76N99 PDF BibTeX XML Cite \textit{E. Schall} and \textit{N. Chauchat}, Commun. Nonlinear Sci. Numer. Simul. 72, 371--391 (2019; Zbl 1464.65126) Full Text: DOI Link OpenURL
Banz, Lothar; Petsche, Jan; Schröder, Andreas \(hp\)-FEM for a stabilized three-field formulation of the biharmonic problem. (English) Zbl 1442.65346 Comput. Math. Appl. 77, No. 9, 2463-2488 (2019). MSC: 65N30 65N12 35J40 PDF BibTeX XML Cite \textit{L. Banz} et al., Comput. Math. Appl. 77, No. 9, 2463--2488 (2019; Zbl 1442.65346) Full Text: DOI OpenURL
Ju, Xiaozhe; Mahnken, Rolf Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity. (English) Zbl 1441.74249 Comput. Methods Appl. Mech. Eng. 351, 297-329 (2019). MSC: 74S05 65M60 65M15 65M50 74C05 PDF BibTeX XML Cite \textit{X. Ju} and \textit{R. Mahnken}, Comput. Methods Appl. Mech. Eng. 351, 297--329 (2019; Zbl 1441.74249) Full Text: DOI OpenURL
Chen, Huajie; Liao, Mingjie; Wang, Hao; Wang, Yangshuai; Zhang, Lei Adaptive QM/MM coupling for crystalline defects. (English) Zbl 1441.65119 Comput. Methods Appl. Mech. Eng. 354, 351-368 (2019). MSC: 65N99 65N12 65N15 81V45 82D25 PDF BibTeX XML Cite \textit{H. Chen} et al., Comput. Methods Appl. Mech. Eng. 354, 351--368 (2019; Zbl 1441.65119) Full Text: DOI arXiv OpenURL
Ainsworth, Mark; Vejchodský, Tomáš A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems. (English) Zbl 1441.65090 Comput. Methods Appl. Mech. Eng. 353, 373-390 (2019). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{M. Ainsworth} and \textit{T. Vejchodský}, Comput. Methods Appl. Mech. Eng. 353, 373--390 (2019; Zbl 1441.65090) Full Text: DOI arXiv OpenURL
Erath, Christoph; Praetorius, Dirk Optimal adaptivity for the SUPG finite element method. (English) Zbl 1441.65101 Comput. Methods Appl. Mech. Eng. 353, 308-327 (2019). MSC: 65N30 65N12 65N15 65N50 76M10 PDF BibTeX XML Cite \textit{C. Erath} and \textit{D. Praetorius}, Comput. Methods Appl. Mech. Eng. 353, 308--327 (2019; Zbl 1441.65101) Full Text: DOI arXiv OpenURL
Bespalov, Alex; Betcke, Timo; Haberl, Alexander; Praetorius, Dirk Adaptive BEM with optimal convergence rates for the Helmholtz equation. (English) Zbl 1440.65259 Comput. Methods Appl. Mech. Eng. 346, 260-287 (2019). MSC: 65N38 65N50 35J05 PDF BibTeX XML Cite \textit{A. Bespalov} et al., Comput. Methods Appl. Mech. Eng. 346, 260--287 (2019; Zbl 1440.65259) Full Text: DOI arXiv OpenURL
Bespalov, Alex; Praetorius, Dirk; Rocchi, Leonardo; Ruggeri, Michele Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs. (English) Zbl 1440.65184 Comput. Methods Appl. Mech. Eng. 345, 951-982 (2019). MSC: 65N30 35R60 65N15 65N50 PDF BibTeX XML Cite \textit{A. Bespalov} et al., Comput. Methods Appl. Mech. Eng. 345, 951--982 (2019; Zbl 1440.65184) Full Text: DOI arXiv OpenURL
Wang, Liang; Xiong, Chunguang; Wu, Huibin; Luo, Fusheng A priori and a posteriori error analysis for discontinuous Galerkin finite element approximations of biharmonic eigenvalue problems. (English) Zbl 1432.65166 Adv. Comput. Math. 45, No. 5-6, 2623-2646 (2019). MSC: 65N25 65N30 35P15 65N15 PDF BibTeX XML Cite \textit{L. Wang} et al., Adv. Comput. Math. 45, No. 5--6, 2623--2646 (2019; Zbl 1432.65166) Full Text: DOI OpenURL
Ahmed, Elyes; Ali Hassan, Sarah; Japhet, Caroline; Kern, Michel; Vohralík, Martin A posteriori error estimates and stopping criteria for space-time domain decomposition for two-phase flow between different rock types. (English) Zbl 1432.65130 SMAI J. Comput. Math. 5, 195-227 (2019). MSC: 65M08 65M15 65M50 65M55 76S05 35K55 35K65 PDF BibTeX XML Cite \textit{E. Ahmed} et al., SMAI J. Comput. Math. 5, 195--227 (2019; Zbl 1432.65130) Full Text: DOI OpenURL
Xu, Fei; Huang, Qiumei An accurate a posteriori error estimator for semilinear Neumann problem and its applications. (English) Zbl 1433.65317 Appl. Math. Comput. 362, Article ID 124540, 19 p. (2019). MSC: 65N30 35J61 35J25 65N15 65N50 65N12 65N55 PDF BibTeX XML Cite \textit{F. Xu} and \textit{Q. Huang}, Appl. Math. Comput. 362, Article ID 124540, 19 p. (2019; Zbl 1433.65317) Full Text: DOI OpenURL
Zhao, Xuying; Shi, Zhong-Ci Hexahedral constraint-free finite element method on meshes with hanging nodes. (English) Zbl 1427.65389 Sci. China, Math. 62, No. 12, 2591-2616 (2019). MSC: 65N30 65N15 35J25 PDF BibTeX XML Cite \textit{X. Zhao} and \textit{Z.-C. Shi}, Sci. China, Math. 62, No. 12, 2591--2616 (2019; Zbl 1427.65389) Full Text: DOI OpenURL
Bespalov, Alex; Praetorius, Dirk; Rocchi, Leonardo; Ruggeri, Michele Convergence of adaptive stochastic Galerkin FEM. (English) Zbl 1425.65146 SIAM J. Numer. Anal. 57, No. 5, 2359-2382 (2019). MSC: 65N30 65C20 35R60 65N12 65N15 PDF BibTeX XML Cite \textit{A. Bespalov} et al., SIAM J. Numer. Anal. 57, No. 5, 2359--2382 (2019; Zbl 1425.65146) Full Text: DOI arXiv OpenURL
Wang, Hao; Liu, Shaohui; Yang, Feng A posteriori error control for three typical force-based atomistic-to-continuum coupling methods for an atomistic chain. (English) Zbl 1438.65277 Numer. Math., Theory Methods Appl. 12, No. 1, 233-264 (2019). MSC: 65N15 65N12 82B21 82D25 PDF BibTeX XML Cite \textit{H. Wang} et al., Numer. Math., Theory Methods Appl. 12, No. 1, 233--264 (2019; Zbl 1438.65277) Full Text: DOI OpenURL
Banz, Lothar; Lamichhane, Bishnu P.; Stephan, Ernst P. Higher order mixed FEM for the obstacle problem of the \(p\)-Laplace equation using biorthogonal systems. (English) Zbl 1421.74096 Comput. Methods Appl. Math. 19, No. 2, 169-188 (2019). MSC: 74S05 65N30 65N15 74M15 PDF BibTeX XML Cite \textit{L. Banz} et al., Comput. Methods Appl. Math. 19, No. 2, 169--188 (2019; Zbl 1421.74096) Full Text: DOI OpenURL
Gallistl, Dietmar; Peterseim, Daniel Numerical stochastic homogenization by quasilocal effective diffusion tensors. (English) Zbl 1420.65110 Commun. Math. Sci. 17, No. 3, 637-651 (2019). MSC: 65N12 65N15 65N30 35B27 35R60 PDF BibTeX XML Cite \textit{D. Gallistl} and \textit{D. Peterseim}, Commun. Math. Sci. 17, No. 3, 637--651 (2019; Zbl 1420.65110) Full Text: DOI arXiv OpenURL
Li, Yuwen Some convergence and optimality results of adaptive mixed methods in finite element exterior calculus. (English) Zbl 1422.65401 SIAM J. Numer. Anal. 57, No. 4, 2019-2042 (2019). MSC: 65N30 65N12 65N15 65N50 41A25 PDF BibTeX XML Cite \textit{Y. Li}, SIAM J. Numer. Anal. 57, No. 4, 2019--2042 (2019; Zbl 1422.65401) Full Text: DOI arXiv OpenURL
Leonov, A. S. Methods for solving ill-posed extremum problems with optimal and extra-optimal properties. (English. Russian original) Zbl 1416.65161 Math. Notes 105, No. 3, 385-397 (2019); translation from Mat. Zametki 105, No. 3, 406-419 (2019). MSC: 65J20 47J06 47J25 PDF BibTeX XML Cite \textit{A. S. Leonov}, Math. Notes 105, No. 3, 385--397 (2019; Zbl 1416.65161); translation from Mat. Zametki 105, No. 3, 406--419 (2019) Full Text: DOI OpenURL
Leonov, A. S. A new algorithm for a posteriori error estimation for approximate solutions of linear ill-posed problems. (English. Russian original) Zbl 1457.65025 Comput. Math. Math. Phys. 59, No. 2, 193-200 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 2, 203-210 (2019). MSC: 65J20 65J10 35A15 35R30 47A52 PDF BibTeX XML Cite \textit{A. S. Leonov}, Comput. Math. Math. Phys. 59, No. 2, 193--200 (2019; Zbl 1457.65025); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 2, 203--210 (2019) Full Text: DOI OpenURL
Hecht, F.; Mghazli, Z.; Naji, I.; Roberts, J. E. A residual a posteriori error estimators for a model for flow in porous media with fractures. (English) Zbl 1419.65096 J. Sci. Comput. 79, No. 2, 935-968 (2019). MSC: 65N15 65N30 65N50 76S05 PDF BibTeX XML Cite \textit{F. Hecht} et al., J. Sci. Comput. 79, No. 2, 935--968 (2019; Zbl 1419.65096) Full Text: DOI OpenURL
Reddy, G. Murali Mohan; Sinha, Rajen Kumar; Cuminato, José Alberto A posteriori error analysis of the Crank-Nicolson finite element method for parabolic integro-differential equations. (English) Zbl 1419.65069 J. Sci. Comput. 79, No. 1, 414-441 (2019). MSC: 65M60 65M06 65M15 35R09 35K10 45D05 45K05 65R20 PDF BibTeX XML Cite \textit{G. M. M. Reddy} et al., J. Sci. Comput. 79, No. 1, 414--441 (2019; Zbl 1419.65069) Full Text: DOI OpenURL
Torres, Ricardo Prato; Domínguez, Catalina; Díaz, Stiven An adaptive finite element method for a time-dependent Stokes problem. (English) Zbl 1419.65072 Numer. Methods Partial Differ. Equations 35, No. 1, 325-348 (2019). MSC: 65M60 65M15 65M50 35Q35 76D07 35A15 PDF BibTeX XML Cite \textit{R. P. Torres} et al., Numer. Methods Partial Differ. Equations 35, No. 1, 325--348 (2019; Zbl 1419.65072) Full Text: DOI OpenURL
Boffi, Daniele; Gastaldi, Lucia; Rodríguez, Rodolfo; Šebestová, Ivana A posteriori error estimates for Maxwell’s eigenvalue problem. (English) Zbl 1417.78005 J. Sci. Comput. 78, No. 2, 1250-1271 (2019). MSC: 78M10 65N30 65N25 65N15 PDF BibTeX XML Cite \textit{D. Boffi} et al., J. Sci. Comput. 78, No. 2, 1250--1271 (2019; Zbl 1417.78005) Full Text: DOI OpenURL
Avdzhieva, Ana; Gushev, Vesselin; Nikolov, Geno Definite quadrature formulae of order three based on the compound midpoint rule. (English) Zbl 07062832 Nikolov, Geno (ed.) et al., Numerical methods and applications. 9th international conference, NMA 2018, Borovets, Bulgaria, August 20–24, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11189, 227-234 (2019). MSC: 65-XX PDF BibTeX XML Cite \textit{A. Avdzhieva} et al., Lect. Notes Comput. Sci. 11189, 227--234 (2019; Zbl 07062832) Full Text: DOI OpenURL
Bao, Feng; Mu, Lin; Wang, Jin A fully computable a posteriori error estimate for the Stokes equations on polytopal meshes. (English) Zbl 07040524 SIAM J. Numer. Anal. 57, No. 1, 458-477 (2019). MSC: 65N15 65N30 35J50 65N50 35Q35 PDF BibTeX XML Cite \textit{F. Bao} et al., SIAM J. Numer. Anal. 57, No. 1, 458--477 (2019; Zbl 07040524) Full Text: DOI OpenURL