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 76 PDF BibTeX XML Cite \textit{T. Ray} and \textit{R. K. Sinha}, Comput. Math. Appl. 82, 97--112 (2021; Zbl 07308005) Full Text: DOI
Zhang, Qiuyu; Li, Jian; Huang, Pengzhan Recovery type a posteriori error estimates for the conduction convection problem. (English) Zbl 07298629 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 07298629) Full Text: DOI
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 07296447 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 07296447); translation from Algebra Anal. 32, No. 1, 51--77 (2020) Full Text: DOI
González, María; Strugaru, Magdalena Stabilization and a posteriori error analysis of a mixed FEM for convection-diffusion problems with mixed boundary conditions. (English) Zbl 1446.65169 J. Comput. Appl. Math. 381, Article ID 113015, 26 p. (2021). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{M. González} and \textit{M. Strugaru}, J. Comput. Appl. Math. 381, Article ID 113015, 26 p. (2021; Zbl 1446.65169) Full Text: DOI
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 07295217 J. Comput. Math. 38, No. 5, 748-767 (2020). MSC: 65N12 65N30 65N15 PDF BibTeX XML Cite \textit{M. Holst} et al., J. Comput. Math. 38, No. 5, 748--767 (2020; Zbl 07295217) Full Text: DOI
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
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 49 PDF BibTeX XML Cite \textit{L. Banz} et al., Comput. Math. Appl. 80, No. 11, 2433--2450 (2020; Zbl 07283116) Full Text: DOI
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
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
Chrysafinos, Konstantinos; Georgoulis, Emmanuil H.; Plaka, Dimitra A posteriori error estimates for the Allen-Cahn problem. (English) Zbl 07261061 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 07261061) Full Text: DOI
Kyza, Irene; Metcalfe, Stephen Pointwise a posteriori error bounds for blow-up in the semilinear heat equation. (English) Zbl 07261059 SIAM J. Numer. Anal. 58, No. 5, 2609-2631 (2020). 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 07261059) Full Text: DOI
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
Giesselmann, Jan; Joshi, Hrishikesh Model adaptation of balance laws based on a posteriori error estimates and surrogate fluxes. (English) Zbl 07239622 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 (ISBN 978-3-030-43650-6/hbk; 978-3-030-43651-3/ebook). Springer Proceedings in Mathematics & Statistics 323, 375-383 (2020). MSC: 65M60 68T05 65M12 65M15 76V05 80A32 35Q31 PDF BibTeX XML Cite \textit{J. Giesselmann} and \textit{H. Joshi}, in: 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. 375--383 (2020; Zbl 07239622) Full Text: DOI
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
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
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
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
Bonito, Andrea; Demlow, Alan; Nochetto, Ricardo H. Finite element methods for the Laplace-Beltrami operator. (English) Zbl 07224909 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part I. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-64003-1/hbk; 978-0-444-64004-8/ebook). Handbook of Numerical Analysis 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 07224909) Full Text: DOI
Wang, Wansheng; Yi, Lijun; Xiao, Aiguo A posteriori error estimates for fully discrete finite element method for generalized diffusion equation with delay. (English) Zbl 07219846 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 07219846) Full Text: DOI
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
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
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
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
Chen, Gang; Cui, Jintao On the error estimates of a hybridizable discontinuous Galerkin method for second-order elliptic problem with discontinuous coefficients. (English) Zbl 07199518 IMA J. Numer. Anal. 40, No. 2, 1577-1600 (2020). MSC: 65 PDF BibTeX XML Cite \textit{G. Chen} and \textit{J. Cui}, IMA J. Numer. Anal. 40, No. 2, 1577--1600 (2020; Zbl 07199518) Full Text: DOI
Meyer, Fabian; Rohde, Christian; Giesselmann, Jan a posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method. (English) Zbl 07199503 IMA J. Numer. Anal. 40, No. 2, 1094-1121 (2020). MSC: 65 PDF BibTeX XML Cite \textit{F. Meyer} et al., IMA J. Numer. Anal. 40, No. 2, 1094--1121 (2020; Zbl 07199503) Full Text: DOI
Pauly, D.; Repin, S. A posteriori estimates for the stationary Stokes problem in exterior domains. (English) Zbl 1437.35275 St. Petersbg. Math. J. 31, No. 3, 533-555 (2020) and Algebra Anal. 31, No. 3, 184-215 (2019). MSC: 35J57 65N15 76D07 PDF BibTeX XML Cite \textit{D. Pauly} and \textit{S. Repin}, St. Petersbg. Math. J. 31, No. 3, 533--555 (2020; Zbl 1437.35275) Full Text: DOI
Yang, Yidu; Zhang, Yu; Bi, Hai A type of adaptive \(C^0\) non-conforming finite element method for the Helmholtz transmission eigenvalue problem. (English) Zbl 1441.78026 Comput. Methods Appl. Mech. Eng. 360, Article ID 112697, 20 p. (2020). MSC: 78M10 65M60 78A46 PDF BibTeX XML Cite \textit{Y. Yang} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112697, 20 p. (2020; Zbl 1441.78026) Full Text: DOI
Ray, Tanushree; Sinha, Rajen Kumar An adaptive finite element method for semilinear parabolic interface problems with nonzero flux jump. (English) Zbl 1436.65188 Appl. Numer. Math. 153, 381-398 (2020). MSC: 65N30 65M06 65M15 35K58 PDF BibTeX XML Cite \textit{T. Ray} and \textit{R. K. Sinha}, Appl. Numer. Math. 153, 381--398 (2020; Zbl 1436.65188) Full Text: DOI
Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey I. Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation. (English) Zbl 1447.65150 Comput. Methods Appl. Math. 20, No. 2, 293-319 (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 65N30 49M29 65N15 65N50 35J20 PDF BibTeX XML Cite \textit{J. Kraus} et al., Comput. Methods Appl. Math. 20, No. 2, 293--319 (2020; Zbl 1447.65150) Full Text: DOI
Amanbek, Yerlan; Singh, Gurpreet; Pencheva, Gergina; Wheeler, Mary F. Error indicators for incompressible Darcy flow problems using enhanced velocity mixed finite element method. (English) Zbl 1437.76019 Comput. Methods Appl. Mech. Eng. 363, Article ID 112884, 22 p. (2020). MSC: 76M10 65N30 76S05 65N15 PDF BibTeX XML Cite \textit{Y. Amanbek} et al., Comput. Methods Appl. Mech. Eng. 363, Article ID 112884, 22 p. (2020; Zbl 1437.76019) Full Text: DOI
Hu, Jun; Ma, Limin Asymptotically exact a posteriori error estimates of eigenvalues by the Crouzeix-Raviart element and enriched Crouzeix-Raviart element. (English) Zbl 1432.65168 SIAM J. Sci. Comput. 42, No. 2, A797-A821 (2020). MSC: 65N30 65N25 65N15 PDF BibTeX XML Cite \textit{J. Hu} and \textit{L. Ma}, SIAM J. Sci. Comput. 42, No. 2, A797--A821 (2020; Zbl 1432.65168) Full Text: DOI
Lin, Xiuxiu; Chen, Yanping; Huang, Yunqing Galerkin spectral approximation of optimal control problems with \(L^2\)-norm control constraint. (English) Zbl 1448.49028 Appl. Numer. Math. 150, 418-432 (2020). MSC: 49K20 65N35 65N15 35J99 PDF BibTeX XML Cite \textit{X. Lin} et al., Appl. Numer. Math. 150, 418--432 (2020; Zbl 1448.49028) Full Text: DOI
Lin, Xiuxiu; Chen, Yanping; Huang, Yunqing A posteriori error estimates of \(hp\) spectral element methods for optimal control problems with \(L^2\)-norm state constraint. (English) Zbl 07171736 Numer. Algorithms 83, No. 3, 1145-1169 (2020). MSC: 65 PDF BibTeX XML Cite \textit{X. Lin} et al., Numer. Algorithms 83, No. 3, 1145--1169 (2020; Zbl 07171736) Full Text: DOI
Chen, Yanping; Lin, Xiuxiu; Huang, Yunqing; Lin, Qian \(hp\) spectral element approximation for integral state constrained optimal control problems governed by harmonic equations. (English) Zbl 1440.65244 J. Comput. Appl. Math. 371, Article ID 112716, 13 p. (2020). MSC: 65N35 65N15 65N50 31A30 49K20 93C20 35Q93 35B45 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Comput. Appl. Math. 371, Article ID 112716, 13 p. (2020; Zbl 1440.65244) Full Text: DOI
Khan, Arbaz; Kanschat, Guido A robust a posteriori error estimator for divergence-conforming discontinuous Galerkin methods for the Oseen equation. (English) Zbl 1434.76070 SIAM J. Numer. Anal. 58, No. 1, 492-518 (2020). MSC: 76M10 65M70 65M60 76D07 65M15 PDF BibTeX XML Cite \textit{A. Khan} and \textit{G. Kanschat}, SIAM J. Numer. Anal. 58, No. 1, 492--518 (2020; Zbl 1434.76070) Full Text: DOI
Boulaaras, Salah; Habita, Khaled; Haiour, Mohamed A posteriori error estimates for the generalized overlapping domain decomposition method for parabolic equation with mixed boundary condition. (English) Zbl 1431.65170 Bol. Soc. Parana. Mat. (3) 38, No. 4, 111-126 (2020). MSC: 65M60 35K20 65N55 65N15 PDF BibTeX XML Cite \textit{S. Boulaaras} et al., Bol. Soc. Parana. Mat. (3) 38, No. 4, 111--126 (2020; Zbl 1431.65170) Full Text: Link
Baccouch, Mahboub A posteriori error analysis of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension. (English) Zbl 1428.65025 J. Comput. Appl. Math. 366, Article ID 112432, 20 p. (2020). MSC: 65M12 65M60 65M15 65M50 35Q53 65L06 35C08 PDF BibTeX XML Cite \textit{M. Baccouch}, J. Comput. Appl. Math. 366, Article ID 112432, 20 p. (2020; Zbl 1428.65025) Full Text: DOI
Li, Jian; Jing, Feifei; Chen, Zhangxin; Lin, Xiaolin A priori and a posteriori estimates of stabilized mixed finite volume methods for the incompressible flow arising in arteriosclerosis. (English) Zbl 07085957 J. Comput. Appl. Math. 363, 35-52 (2020). MSC: 76 49 PDF BibTeX XML Cite \textit{J. Li} et al., J. Comput. Appl. Math. 363, 35--52 (2020; Zbl 07085957) Full Text: DOI
Leng, Haitao; Chen, Yanping; Huang, Yunqing Equivalent a posteriori error estimates for elliptic optimal control problems with \(L^1\)-control cost. (English) Zbl 1442.49036 Comput. Math. Appl. 77, No. 2, 342-356 (2019). MSC: 49M25 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{H. Leng} et al., Comput. Math. Appl. 77, No. 2, 342--356 (2019; Zbl 1442.49036) Full Text: DOI
Li, Jian; Zheng, Haibiao; Zou, Qingsong A priori and a posteriori estimates of the stabilized finite element methods for the incompressible flow with slip boundary conditions arising in arteriosclerosis. (English) Zbl 07254388 Adv. Difference Equ. 2019, Paper No. 374, 20 p. (2019). MSC: 35L70 65N30 76D06 PDF BibTeX XML Cite \textit{J. Li} et al., Adv. Difference Equ. 2019, Paper No. 374, 20 p. (2019; Zbl 07254388) Full Text: DOI
Carstensen, Carsten; Mallik, Gouranga; Nataraj, Neela A priori and a posteriori error control of discontinuous Galerkin finite element methods for the von Kármán equations. (English) Zbl 07208101 IMA J. Numer. Anal. 39, No. 1, 167-200 (2019). MSC: 65 PDF BibTeX XML Cite \textit{C. Carstensen} et al., IMA J. Numer. Anal. 39, No. 1, 167--200 (2019; Zbl 07208101) Full Text: DOI
Berrone, S.; Borio, A.; Vicini, F. Reliable a posteriori mesh adaptivity in discrete fracture network flow simulations. (English) Zbl 1441.76053 Comput. Methods Appl. Mech. Eng. 354, 904-931 (2019). MSC: 76M10 65N30 65N50 76S05 86A05 PDF BibTeX XML Cite \textit{S. Berrone} et al., Comput. Methods Appl. Mech. Eng. 354, 904--931 (2019; Zbl 1441.76053) Full Text: DOI
Gimperlein, Heiko; Stocek, Jakub Space-time adaptive finite elements for nonlocal parabolic variational inequalities. (English) Zbl 1441.65077 Comput. Methods Appl. Mech. Eng. 352, 137-171 (2019). MSC: 65M60 65K15 65M15 65M50 74M10 74M15 74S05 PDF BibTeX XML Cite \textit{H. Gimperlein} and \textit{J. Stocek}, Comput. Methods Appl. Mech. Eng. 352, 137--171 (2019; Zbl 1441.65077) Full Text: DOI
Ahmed, Elyes; Radu, Florin Adrian; Nordbotten, Jan Martin Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot’s consolidation model. (English) Zbl 1440.74117 Comput. Methods Appl. Mech. Eng. 347, 264-294 (2019). MSC: 74F10 65M15 74S05 65M60 76S05 PDF BibTeX XML Cite \textit{E. Ahmed} et al., Comput. Methods Appl. Mech. Eng. 347, 264--294 (2019; Zbl 1440.74117) Full Text: DOI
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J. A posteriori error estimates for the Stokes problem with singular sources. (English) Zbl 1440.65171 Comput. Methods Appl. Mech. Eng. 345, 1007-1032 (2019). MSC: 65N30 35Q30 35Q35 35R06 65N15 65N50 76Dxx PDF BibTeX XML Cite \textit{A. Allendes} et al., Comput. Methods Appl. Mech. Eng. 345, 1007--1032 (2019; Zbl 1440.65171) Full Text: DOI
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
Nataraj, Neela; Vasudeva Murthy, A. S. Finite element methods: research in India over the last decade. (English) Zbl 1433.65004 Indian J. Pure Appl. Math. 50, No. 3, 739-765 (2019). MSC: 65-03 01A61 65N30 PDF BibTeX XML Cite \textit{N. Nataraj} and \textit{A. S. Vasudeva Murthy}, Indian J. Pure Appl. Math. 50, No. 3, 739--765 (2019; Zbl 1433.65004) Full Text: DOI
Dib, Séréna; Girault, Vivette; Hecht, Frédéric; Sayah, Toni A posteriori error estimates for Darcy’s problem coupled with the heat equation. (English) Zbl 1434.65226 ESAIM, Math. Model. Numer. Anal. 53, No. 6, 2121-2159 (2019). MSC: 65N15 65N30 80A19 76S05 76M10 PDF BibTeX XML Cite \textit{S. Dib} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 6, 2121--2159 (2019; Zbl 1434.65226) Full Text: DOI
Barrios, Tomás P.; Behrens, Edwin M.; González, María A posteriori error analysis of an augmented dual-mixed method in linear elasticity with mixed boundary conditions. (English) Zbl 1434.65223 Int. J. Numer. Anal. Model. 16, No. 5, 804-824 (2019). MSC: 65N15 65N30 65N50 65N12 35Q74 74B05 74S05 PDF BibTeX XML Cite \textit{T. P. Barrios} et al., Int. J. Numer. Anal. Model. 16, No. 5, 804--824 (2019; Zbl 1434.65223) Full Text: Link
Banz, Lothar; Petsche, Jan; Schröder, Andreas Explicit and implicit reconstructions of the potential in dual mixed \(hp\)-finite element methods. (English) Zbl 1433.65260 Apel, Thomas (ed.) et al., Advanced finite element methods with applications. Selected papers from the 30th Chemnitz finite element symposium, St. Wolfgang/Strobl, Austria, September 25–27, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 128, 17-40 (2019). MSC: 65N15 65N30 65N50 35J05 35J25 65N12 PDF BibTeX XML Cite \textit{L. Banz} et al., Lect. Notes Comput. Sci. Eng. 128, 17--40 (2019; Zbl 1433.65260) Full Text: DOI
Huang, Pengzhan; Zhang, Qiuyu A posteriori error estimates for the Stokes eigenvalue problem based on a recovery type estimator. (English) Zbl 07157369 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 62(110), No. 3, 295-304 (2019). MSC: 65N30 65N25 PDF BibTeX XML Cite \textit{P. Huang} and \textit{Q. Zhang}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 62(110), No. 3, 295--304 (2019; Zbl 07157369)
Shakya, Pratibha; Sinha, Rajen Kumar A priori and a posteriori error estimates of finite-element approximations for elliptic optimal control problem with measure data. (English) Zbl 1430.49028 Optim. Control Appl. Methods 40, No. 2, 241-264 (2019). MSC: 49K20 35J15 65N30 PDF BibTeX XML Cite \textit{P. Shakya} and \textit{R. K. Sinha}, Optim. Control Appl. Methods 40, No. 2, 241--264 (2019; Zbl 1430.49028) Full Text: DOI
Ratti, Luca; Verani, Marco A posteriori error estimates for the monodomain model in cardiac electrophysiology. (English) Zbl 1427.65256 Calcolo 56, No. 3, Paper No. 33, 33 p. (2019). MSC: 65M60 65M15 65J15 35Q92 35K58 35K57 92C50 34B60 78A70 92C30 34A34 65M06 PDF BibTeX XML Cite \textit{L. Ratti} and \textit{M. Verani}, Calcolo 56, No. 3, Paper No. 33, 33 p. (2019; Zbl 1427.65256) Full Text: DOI arXiv
Barrios, Tomás P.; Behrens, Edwin M.; González, María New a posteriori error estimator for an stabilized mixed method applied to incompressible fluid flows. (English) Zbl 1429.65273 Appl. Math. Comput. 351, 37-47 (2019). MSC: 65N30 65N15 65N50 76D05 PDF BibTeX XML Cite \textit{T. P. Barrios} et al., Appl. Math. Comput. 351, 37--47 (2019; Zbl 1429.65273) Full Text: DOI
Allendes, Alejandro; Fuica, Francisco; Otárola, Enrique; Quero, Daniel An adaptive FEM for the pointwise tracking optimal control problem of the Stokes equations. (English) Zbl 1427.49023 SIAM J. Sci. Comput. 41, No. 5, A2967-A2998 (2019). MSC: 49K20 49M25 65K10 65N15 65N30 65N50 65Y20 49N10 PDF BibTeX XML Cite \textit{A. Allendes} et al., SIAM J. Sci. Comput. 41, No. 5, A2967--A2998 (2019; Zbl 1427.49023) Full Text: DOI
Deka, Bhupen A posteriori error estimates for finite element approximations to the wave equation with discontinuous coefficients. (English) Zbl 1425.65095 Numer. Methods Partial Differ. Equations 35, No. 5, 1630-1653 (2019). MSC: 65M15 65M06 65N30 65D05 41A05 35L05 35J25 PDF BibTeX XML Cite \textit{B. Deka}, Numer. Methods Partial Differ. Equations 35, No. 5, 1630--1653 (2019; Zbl 1425.65095) Full Text: DOI
Hou, Tianliang; Liu, Chunmei; Chen, Hongbo Fully discrete \({H^1}\)-Galerkin mixed finite element methods for parabolic optimal control problems. (English) Zbl 1438.49008 Numer. Math., Theory Methods Appl. 12, No. 1, 134-153 (2019). MSC: 49J20 65N30 PDF BibTeX XML Cite \textit{T. Hou} et al., Numer. Math., Theory Methods Appl. 12, No. 1, 134--153 (2019; Zbl 1438.49008) Full Text: DOI
Dronnier, Dylan; Renac, Florent Adjoint-based adaptive model and discretization for hyperbolic systems with relaxation. (English) Zbl 1426.65174 Multiscale Model. Simul. 17, No. 2, 750-772 (2019). MSC: 65N30 65N55 65N15 PDF BibTeX XML Cite \textit{D. Dronnier} and \textit{F. Renac}, Multiscale Model. Simul. 17, No. 2, 750--772 (2019; Zbl 1426.65174) Full Text: DOI
Anjam, Immanuel; Pauly, Dirk An elementary method of deriving a posteriori error equalities and estimates for linear partial differential equations. (English) Zbl 1420.65112 Comput. Methods Appl. Math. 19, No. 2, 311-322 (2019). MSC: 65N15 PDF BibTeX XML Cite \textit{I. Anjam} and \textit{D. Pauly}, Comput. Methods Appl. Math. 19, No. 2, 311--322 (2019; Zbl 1420.65112) Full Text: DOI arXiv
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
Antonopoulou, Dimitra; Plexousakis, Michael A posteriori analysis for space-time, discontinuous in time Galerkin approximations for parabolic equations in a variable domain. (English) Zbl 1426.65138 ESAIM, Math. Model. Numer. Anal. 53, No. 2, 523-549 (2019). Reviewer: Victor Michel-Dansac (Toulouse) MSC: 65M15 65M12 65M60 35K05 35Q79 65L06 PDF BibTeX XML Cite \textit{D. Antonopoulou} and \textit{M. Plexousakis}, ESAIM, Math. Model. Numer. Anal. 53, No. 2, 523--549 (2019; Zbl 1426.65138) Full Text: DOI
Chen, Yanping; Zhang, Jinling; Huang, Yunqing; Xu, Yeqing A posteriori error estimates of hp spectral element methods for integral state constrained elliptic optimal control problems. (English) Zbl 1421.35188 Appl. Numer. Math. 144, 42-58 (2019). MSC: 35J99 49J20 PDF BibTeX XML Cite \textit{Y. Chen} et al., Appl. Numer. Math. 144, 42--58 (2019; Zbl 1421.35188) Full Text: DOI
Barrios, Tomás P.; Bustinza, Rommel; García, Galina C.; González, María An a posteriori error analysis of a velocity-pseudostress formulation of the generalized Stokes problem. (English) Zbl 1415.76446 J. Comput. Appl. Math. 357, 349-365 (2019). MSC: 76M10 65N15 65N30 65N50 76D07 PDF BibTeX XML Cite \textit{T. P. Barrios} et al., J. Comput. Appl. Math. 357, 349--365 (2019; Zbl 1415.76446) Full Text: DOI
Guo, Yuling; Huang, Jianguo; Lai, Junjiang A posteriori error analysis of a fully-discrete finite element method for the wave equation. (English) Zbl 1419.65062 J. Comput. Appl. Math. 356, 231-247 (2019). MSC: 65M60 65M15 65M50 PDF BibTeX XML Cite \textit{Y. Guo} et al., J. Comput. Appl. Math. 356, 231--247 (2019; Zbl 1419.65062) Full Text: DOI
Bonito, Andrea; Demlow, Alan A posteriori error estimates for the Laplace-Beltrami operator on parametric \(C^2\) surfaces. (English) Zbl 1416.65414 SIAM J. Numer. Anal. 57, No. 3, 973-996 (2019). MSC: 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{A. Bonito} and \textit{A. Demlow}, SIAM J. Numer. Anal. 57, No. 3, 973--996 (2019; Zbl 1416.65414) Full Text: DOI arXiv
Banz, Lothar; Petsche, Jan; Schröder, Andreas Hybridization and stabilization for hp-finite element methods. (English) Zbl 1407.65280 Appl. Numer. Math. 136, 66-102 (2019). MSC: 65N30 35R09 65N15 PDF BibTeX XML Cite \textit{L. Banz} et al., Appl. Numer. Math. 136, 66--102 (2019; Zbl 1407.65280) Full Text: DOI
Shakya, Pratibha; Sinha, Rajen Kumar A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data. (English) Zbl 06995985 Appl. Numer. Math. 136, 23-45 (2019). MSC: 65 PDF BibTeX XML Cite \textit{P. Shakya} and \textit{R. K. Sinha}, Appl. Numer. Math. 136, 23--45 (2019; Zbl 06995985) Full Text: DOI
Chen, Yanping; Leng, Haitao; Yang, Wendi Error estimates of pseudostress-velocity MFEM for optimal control problems governed by Stokes equations. (English) Zbl 1403.65130 Appl. Numer. Math. 135, 407-422 (2019). MSC: 65N30 65N15 65K10 74S05 76M10 PDF BibTeX XML Cite \textit{Y. Chen} et al., Appl. Numer. Math. 135, 407--422 (2019; Zbl 1403.65130) Full Text: DOI
Gong, Wei; Liu, Huipo; Yan, Ningning Adaptive finite element method for parabolic equations with Dirac measure. (English) Zbl 1439.65112 Comput. Methods Appl. Mech. Eng. 328, 217-241 (2018). MSC: 65M60 65M15 65M50 PDF BibTeX XML Cite \textit{W. Gong} et al., Comput. Methods Appl. Mech. Eng. 328, 217--241 (2018; Zbl 1439.65112) Full Text: DOI
Yang, Yidu; Bi, Hai; Zhang, Yu The adaptive Ciarlet-Raviart mixed method for biharmonic problems with simply supported boundary condition. (English) Zbl 1429.65280 Appl. Math. Comput. 339, 206-219 (2018). MSC: 65N30 35J40 65N15 65N25 PDF BibTeX XML Cite \textit{Y. Yang} et al., Appl. Math. Comput. 339, 206--219 (2018; Zbl 1429.65280) Full Text: DOI
Gustafsson, Tom; Stenberg, Rolf; Videman, Juha H. Nitsche’s method for unilateral contact problems. (English) Zbl 1428.65083 Port. Math. (N.S.) 75, No. 3-4, 189-204 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N15 35B45 74M15 35Q74 74B05 74M10 PDF BibTeX XML Cite \textit{T. Gustafsson} et al., Port. Math. (N.S.) 75, No. 3--4, 189--204 (2018; Zbl 1428.65083) Full Text: DOI
Boulaaras, Salah; Touati Brahim, Mohammed Said; Bouzenada, Smail; Zarai, Abderrahmane An asymptotic behavior and a posteriori error estimates for the generalized Schwartz method of advection-diffusion equation. (English) Zbl 1438.65229 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 4, 1227-1244 (2018). MSC: 65M55 65F05 65M06 65N30 65M15 PDF BibTeX XML Cite \textit{S. Boulaaras} et al., Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 4, 1227--1244 (2018; Zbl 1438.65229) Full Text: DOI
Bi, Chunjia; Wang, Cheng; Lin, Yanping Two-grid finite element method and its a posteriori error estimates for a nonmonotone quasilinear elliptic problem under minimal regularity of data. (English) Zbl 1419.65104 Comput. Math. Appl. 76, No. 1, 98-112 (2018). MSC: 65N30 65N15 35J62 65N55 PDF BibTeX XML Cite \textit{C. Bi} et al., Comput. Math. Appl. 76, No. 1, 98--112 (2018; Zbl 1419.65104) Full Text: DOI
Chen, Hongbo; Hou, Tianliang A priori and a posteriori error estimates of \(H^1\)-Galerkin mixed finite element methods for optimal control problems governed by pseudo-hyperbolic integro-differential equations. (English) Zbl 1427.49002 Appl. Math. Comput. 328, 100-112 (2018). MSC: 49J20 65M15 65M60 PDF BibTeX XML Cite \textit{H. Chen} and \textit{T. Hou}, Appl. Math. Comput. 328, 100--112 (2018; Zbl 1427.49002) Full Text: DOI
Giani, Stefano; Grubišić, Luka; Hakula, Harri; Ovall, Jeffrey S. An a posteriori estimator of eigenvalue/eigenvector error for penalty-type discontinuous Galerkin methods. (English) Zbl 1426.65176 Appl. Math. Comput. 319, 562-574 (2018). MSC: 65N30 65N15 65N25 35J25 PDF BibTeX XML Cite \textit{S. Giani} et al., Appl. Math. Comput. 319, 562--574 (2018; Zbl 1426.65176) Full Text: DOI
Chen, Chuanjun; Chen, Yanping; Zhao, Xin A posteriori error estimates of two-grid finite volume element methods for nonlinear elliptic problems. (English) Zbl 1409.65084 Comput. Math. Appl. 75, No. 5, 1756-1766 (2018). MSC: 65N08 65N15 35J25 35J62 PDF BibTeX XML Cite \textit{C. Chen} et al., Comput. Math. Appl. 75, No. 5, 1756--1766 (2018; Zbl 1409.65084) Full Text: DOI
Conti, Sergio; Geihe, Benedict; Lenz, Martin; Rumpf, Martin A posteriori modeling error estimates in the optimization of two-scale elastic composite materials. (English) Zbl 07006983 ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1457-1476 (2018). MSC: 65N30 35B27 65N15 65N38 74P05 74B10 74E30 PDF BibTeX XML Cite \textit{S. Conti} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1457--1476 (2018; Zbl 07006983) Full Text: DOI arXiv
Cangiani, A.; Georgoulis, E. H.; Morozov, A. Yu.; Sutton, O. J. Revealing new dynamical patterns in a reaction-diffusion model with cyclic competition via a novel computational framework. (English) Zbl 1402.35146 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2213, Article ID 20170608, 23 p. (2018). MSC: 35K57 92C15 35K51 92E20 PDF BibTeX XML Cite \textit{A. Cangiani} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2213, Article ID 20170608, 23 p. (2018; Zbl 1402.35146) Full Text: DOI
Bachmayr, Markus; Cohen, Albert; Dahmen, Wolfgang Parametric PDEs: sparse or low-rank approximations? (English) Zbl 06983859 IMA J. Numer. Anal. 38, No. 4, 1661-1708 (2018). MSC: 65 PDF BibTeX XML Cite \textit{M. Bachmayr} et al., IMA J. Numer. Anal. 38, No. 4, 1661--1708 (2018; Zbl 06983859) Full Text: DOI arXiv
Chouly, Franz; Fabre, Mathieu; Hild, Patrick; Pousin, Jérôme; Renard, Yves Residual-based a posteriori error estimation for contact problems approximated by Nitsche’s method. (English) Zbl 06983835 IMA J. Numer. Anal. 38, No. 2, 921-954 (2018). MSC: 65 PDF BibTeX XML Cite \textit{F. Chouly} et al., IMA J. Numer. Anal. 38, No. 2, 921--954 (2018; Zbl 06983835) Full Text: DOI
Antil, Harbir; Otárola, Enrique An a posteriori error analysis for an optimal control problem involving the fractional Laplacian. (English) Zbl 06983811 IMA J. Numer. Anal. 38, No. 1, 198-226 (2018). MSC: 65 PDF BibTeX XML Cite \textit{H. Antil} and \textit{E. Otárola}, IMA J. Numer. Anal. 38, No. 1, 198--226 (2018; Zbl 06983811) Full Text: DOI
Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework. (English) Zbl 1402.65137 Numer. Math. 140, No. 4, 1033-1079 (2018). MSC: 65N15 35P15 65N25 65N30 65N50 PDF BibTeX XML Cite \textit{E. Cancès} et al., Numer. Math. 140, No. 4, 1033--1079 (2018; Zbl 1402.65137) Full Text: DOI
Gedicke, Joscha; Khan, Arbaz Arnold-Winther mixed finite elements for Stokes eigenvalue problems. (English) Zbl 1407.65266 SIAM J. Sci. Comput. 40, No. 5, A3449-A3469 (2018). Reviewer: Noureddine Daili (Sétif) MSC: 65N25 65N30 65N15 65N12 35P15 PDF BibTeX XML Cite \textit{J. Gedicke} and \textit{A. Khan}, SIAM J. Sci. Comput. 40, No. 5, A3449--A3469 (2018; Zbl 1407.65266) Full Text: DOI arXiv
Boulaaras, Salah; Brahim, Mohammed Said Touati; Bouzenada, Smail A posteriori error estimates for the generalized Schwarz method of a new class of advection-diffusion equation with mixed boundary condition. (English) Zbl 1401.65102 Math. Methods Appl. Sci. 41, No. 14, 5493-5505 (2018). MSC: 65M60 65M15 PDF BibTeX XML Cite \textit{S. Boulaaras} et al., Math. Methods Appl. Sci. 41, No. 14, 5493--5505 (2018; Zbl 1401.65102) Full Text: DOI
Li, Hao; Yang, Yidu An adaptive \(C^0\)IPG method for the Helmholtz transmission eigenvalue problem. (English) Zbl 1402.65147 Sci. China, Math. 61, No. 8, 1519-1542 (2018). MSC: 65N25 65N30 65N15 PDF BibTeX XML Cite \textit{H. Li} and \textit{Y. Yang}, Sci. China, Math. 61, No. 8, 1519--1542 (2018; Zbl 1402.65147) Full Text: DOI
Zhou, Weiqi; Wu, Haijun An adaptive finite element method for the diffraction grating problem with PML and few-mode DtN truncations. (English) Zbl 1396.78007 J. Sci. Comput. 76, No. 3, 1813-1838 (2018). MSC: 78M10 65N12 65N15 65N30 78A40 PDF BibTeX XML Cite \textit{W. Zhou} and \textit{H. Wu}, J. Sci. Comput. 76, No. 3, 1813--1838 (2018; Zbl 1396.78007) Full Text: DOI
Carstensen, Carsten; Dond, Asha K.; Nataraj, Neela; Pani, Amiya K. Three first-order finite volume element methods for Stokes equations under minimal regularity assumptions. (English) Zbl 1412.65181 SIAM J. Numer. Anal. 56, No. 4, 2648-2671 (2018). Reviewer: Vit Dolejsi (Praha) MSC: 65N08 65N30 65N15 76D07 PDF BibTeX XML Cite \textit{C. Carstensen} et al., SIAM J. Numer. Anal. 56, No. 4, 2648--2671 (2018; Zbl 1412.65181) Full Text: DOI
Sun, Pengtao; Huang, Xuehai Quasi-optimal convergence rate for an adaptive hybridizable \(C^0\) discontinuous Galerkin method for Kirchhoff plates. (English) Zbl 1393.74102 Numer. Math. 139, No. 4, 795-829 (2018). MSC: 74K20 65N12 65N30 74S05 65N50 65Y20 PDF BibTeX XML Cite \textit{P. Sun} and \textit{X. Huang}, Numer. Math. 139, No. 4, 795--829 (2018; Zbl 1393.74102) Full Text: DOI arXiv
Matculevich, S. Functional approach to the error control in adaptive IgA schemes for elliptic boundary value problems. (English) Zbl 06910427 J. Comput. Appl. Math. 344, 394-423 (2018). MSC: 65 41 PDF BibTeX XML Cite \textit{S. Matculevich}, J. Comput. Appl. Math. 344, 394--423 (2018; Zbl 06910427) Full Text: DOI
Verfürth, Rüdiger A posteriori error estimates for non-stationary non-linear convection-diffusion equations. (English) Zbl 1398.65310 Calcolo 55, No. 2, Paper No. 20, 18 p. (2018). MSC: 65N30 65N15 65J10 PDF BibTeX XML Cite \textit{R. Verfürth}, Calcolo 55, No. 2, Paper No. 20, 18 p. (2018; Zbl 1398.65310) Full Text: DOI arXiv
Wang, Hao; Liao, Mingjie; Lin, Ping; Zhang, Lei A posteriori error estimation and adaptive algorithm for atomistic/continuum coupling in two dimensions. (English) Zbl 1395.65125 SIAM J. Sci. Comput. 40, No. 4, A2087-A2119 (2018). MSC: 65N12 65N15 70C20 82D25 65N50 35B45 PDF BibTeX XML Cite \textit{H. Wang} et al., SIAM J. Sci. Comput. 40, No. 4, A2087--A2119 (2018; Zbl 1395.65125) Full Text: DOI
Gupta, Jhuma Sen; Sinha, Rajen Kumar; Reddy, Gujji Murali Mohan; Jain, Jinank A posteriori error analysis of the Crank-Nicolson finite element method for linear parabolic interface problems: a reconstruction approach. (English) Zbl 1432.65146 J. Comput. Appl. Math. 340, 173-190 (2018). MSC: 65M60 65M15 PDF BibTeX XML Cite \textit{J. S. Gupta} et al., J. Comput. Appl. Math. 340, 173--190 (2018; Zbl 1432.65146) Full Text: DOI
Gustafsson, Tom; Stenberg, Rolf; Videman, Juha A posteriori estimates for conforming Kirchhoff plate elements. (English) Zbl 1450.65147 SIAM J. Sci. Comput. 40, No. 3, A1386-A1407 (2018). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 35R35 74K20 PDF BibTeX XML Cite \textit{T. Gustafsson} et al., SIAM J. Sci. Comput. 40, No. 3, A1386--A1407 (2018; Zbl 1450.65147) Full Text: DOI
Baccouch, Mahboub A posteriori local discontinuous Galerkin error estimates for the one-dimensional sine-Gordon equation. (English) Zbl 1390.65094 Int. J. Comput. Math. 95, No. 4, 815-844 (2018). MSC: 65M12 65M15 65M60 65N12 65N30 35Q51 PDF BibTeX XML Cite \textit{M. Baccouch}, Int. J. Comput. Math. 95, No. 4, 815--844 (2018; Zbl 1390.65094) Full Text: DOI
Dubuis, Samuel; Picasso, Marco An adaptive algorithm for the time dependent transport equation with anisotropic finite elements and the Crank-Nicolson scheme. (English) Zbl 1398.65249 J. Sci. Comput. 75, No. 1, 350-375 (2018). MSC: 65M60 65M15 65M50 PDF BibTeX XML Cite \textit{S. Dubuis} and \textit{M. Picasso}, J. Sci. Comput. 75, No. 1, 350--375 (2018; Zbl 1398.65249) Full Text: DOI
Wang, Wansheng; Rao, Ting; Shen, Weiwei; Zhong, Peng A posteriori error analysis for Crank-Nicolson-Galerkin type methods for reaction-diffusion equations with delay. (English) Zbl 06864531 SIAM J. Sci. Comput. 40, No. 2, A1095-A1120 (2018). Reviewer: Aziz Takhirov (Sharja) MSC: 65M06 65M60 65N30 65M15 65M50 65L03 65L70 65L20 35K55 35K15 35R07 PDF BibTeX XML Cite \textit{W. Wang} et al., SIAM J. Sci. Comput. 40, No. 2, A1095--A1120 (2018; Zbl 06864531) Full Text: DOI
Asadzadeh, Mohammad; Standar, Christoffer A posteriori error estimates for the one and one-half dimensional relativistic Vlasov-Maxwell system. (English) Zbl 1448.65149 BIT 58, No. 1, 5-26 (2018). MSC: 65M60 65M15 65M12 35Q83 35Q60 82D10 PDF BibTeX XML Cite \textit{M. Asadzadeh} and \textit{C. Standar}, BIT 58, No. 1, 5--26 (2018; Zbl 1448.65149) Full Text: DOI arXiv
Jin, Qinian; Wang, Wei Analysis of the iteratively regularized Gauss-Newton method under a heuristic rule. (English) Zbl 06858479 Inverse Probl. 34, No. 3, Article ID 035001, 24 p. (2018). MSC: 65 90 PDF BibTeX XML Cite \textit{Q. Jin} and \textit{W. Wang}, Inverse Probl. 34, No. 3, Article ID 035001, 24 p. (2018; Zbl 06858479) Full Text: DOI
Wang, Junping; Wang, Yanqiu; Ye, Xiu A unified a posteriori error estimator for finite volume methods for the Stokes equations. (English) Zbl 06857674 Math. Methods Appl. Sci. 41, No. 3, 866-880 (2018). MSC: 65N08 65N15 65N30 76M12 76D07 35B45 35J50 PDF BibTeX XML Cite \textit{J. Wang} et al., Math. Methods Appl. Sci. 41, No. 3, 866--880 (2018; Zbl 06857674) Full Text: DOI
Bi, Chunjia; Wang, Cheng; Lin, Yanping A posteriori error estimates of two-grid finite element methods for nonlinear elliptic problems. (English) Zbl 1398.65270 J. Sci. Comput. 74, No. 1, 23-48 (2018). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{C. Bi} et al., J. Sci. Comput. 74, No. 1, 23--48 (2018; Zbl 1398.65270) Full Text: DOI