Jawecki, Tobias A study of defect-based error estimates for the Krylov approximation of \(\varphi\)-functions. (English) Zbl 07512667 Numer. Algorithms 90, No. 1, 323-361 (2022). MSC: 65F60 65L70 65N22 PDF BibTeX XML Cite \textit{T. Jawecki}, Numer. Algorithms 90, No. 1, 323--361 (2022; Zbl 07512667) Full Text: DOI OpenURL
Chen, Yanping; Deng, Zhirou; Huang, Yunqing Recovery-based a posteriori error estimation for elliptic interface problems based on partially penalized immersed finite element methods. (English) Zbl 07509160 Int. J. Numer. Anal. Model. 19, No. 1, 126-155 (2022). MSC: 35R35 65N15 65N30 PDF BibTeX XML Cite \textit{Y. Chen} et al., Int. J. Numer. Anal. Model. 19, No. 1, 126--155 (2022; Zbl 07509160) Full Text: Link OpenURL
Buffa, Annalisa; Chanon, Ondine; Vázquez, Rafael Analysis-aware defeaturing: problem setting and a posteriori estimation. (English) Zbl 1483.65197 Math. Models Methods Appl. Sci. 32, No. 2, 359-402 (2022). MSC: 65N50 65N30 65N15 PDF BibTeX XML Cite \textit{A. Buffa} et al., Math. Models Methods Appl. Sci. 32, No. 2, 359--402 (2022; Zbl 1483.65197) Full Text: DOI OpenURL
Liu, Li-Bin; Chen, Yanping A posteriori error estimation and adaptive strategy for a nonlinear fractional differential equation. (English) Zbl 07494122 Int. J. Comput. Math. 99, No. 2, 240-246 (2022). MSC: 65L05 65L12 65L20 PDF BibTeX XML Cite \textit{L.-B. Liu} and \textit{Y. Chen}, Int. J. Comput. Math. 99, No. 2, 240--246 (2022; Zbl 07494122) Full Text: DOI OpenURL
Mao, Wenting; Chen, Yanping; Wang, Huasheng A posteriori error estimations of the Petrov-Galerkin methods for fractional Helmholtz equations. (English) Zbl 07490867 Numer. Algorithms 89, No. 3, 1095-1127 (2022). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{W. Mao} et al., Numer. Algorithms 89, No. 3, 1095--1127 (2022; Zbl 07490867) Full Text: DOI OpenURL
Gantner, Gregor; van Venetië, Raymond Adaptive space-time BEM for the heat equation. (English) Zbl 07469201 Comput. Math. Appl. 107, 117-131 (2022). MSC: 65-XX 62-XX PDF BibTeX XML Cite \textit{G. Gantner} and \textit{R. van Venetië}, Comput. Math. Appl. 107, 117--131 (2022; Zbl 07469201) Full Text: DOI arXiv OpenURL
Burman, Erik; He, Cuiyu; Larson, Mats G. A posteriori error estimates with boundary correction for a cut finite element method. (English) Zbl 07465500 IMA J. Numer. Anal. 42, No. 1, 333-362 (2022). MSC: 65-XX PDF BibTeX XML Cite \textit{E. Burman} et al., IMA J. Numer. Anal. 42, No. 1, 333--362 (2022; Zbl 07465500) Full Text: DOI arXiv OpenURL
Basile, Francesca; Chapelier, Jean-Baptiste; de la Llave Plata, Marta; Laraufie, Romain; Frey, Pascal Unstructured \(h\)- and hp-adaptive strategies for discontinuous Galerkin methods based on a posteriori error estimation for compressible flows. (English) Zbl 07464446 Comput. Fluids 233, Article ID 105245, 21 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{F. Basile} et al., Comput. Fluids 233, Article ID 105245, 21 p. (2022; Zbl 07464446) Full Text: DOI OpenURL
Khan, Arbaz; Silvester, David J. Robust a posteriori error estimation for mixed finite element approximation of linear poroelasticity. (English) Zbl 07528297 IMA J. Numer. Anal. 41, No. 3, 2000-2025 (2021). MSC: 65-XX PDF BibTeX XML Cite \textit{A. Khan} and \textit{D. J. Silvester}, IMA J. Numer. Anal. 41, No. 3, 2000--2025 (2021; Zbl 07528297) Full Text: DOI OpenURL
Capatina, Daniela; He, Cuiyu Flux recovery for cut finite element method and its application in a posteriori error estimation. (English) Zbl 07477261 ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2759-2784 (2021). MSC: 68Q25 68R10 68U05 PDF BibTeX XML Cite \textit{D. Capatina} and \textit{C. He}, ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2759--2784 (2021; Zbl 07477261) Full Text: DOI arXiv OpenURL
Hoppe, Ronald H. W.; Iliash, Youri An equilibrated a posteriori error estimator for an interior penalty discontinuous Galerkin approximation of the \(p\)-Laplace problem. (English) Zbl 1481.65227 Russ. J. Numer. Anal. Math. Model. 36, No. 6, 313-336 (2021). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{R. H. W. Hoppe} and \textit{Y. Iliash}, Russ. J. Numer. Anal. Math. Model. 36, No. 6, 313--336 (2021; Zbl 1481.65227) 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
Lautsch, Leopold; Richter, Thomas Error estimation and adaptivity for differential equations with multiple scales in time. (English) Zbl 1476.65130 Comput. Methods Appl. Math. 21, No. 4, 841-861 (2021). MSC: 65L05 65L50 34N05 65L70 PDF BibTeX XML Cite \textit{L. Lautsch} and \textit{T. Richter}, Comput. Methods Appl. Math. 21, No. 4, 841--861 (2021; Zbl 1476.65130) Full Text: DOI arXiv OpenURL
Cao, Shuhao A simple virtual element-based flux recovery on quadtree. (English) Zbl 07438948 Electron Res. Arch. 29, No. 6, 3629-3647 (2021). MSC: 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{S. Cao}, Electron Res. Arch. 29, No. 6, 3629--3647 (2021; Zbl 07438948) Full Text: DOI arXiv OpenURL
Ginting, Victor An adjoint-based a posteriori analysis of numerical approximation of Richards equation. (English) Zbl 1478.65085 Electron Res. Arch. 29, No. 5, 3405-3427 (2021). MSC: 65M60 65M08 65N30 65M15 65Z05 76S05 76M10 76M12 PDF BibTeX XML Cite \textit{V. Ginting}, Electron Res. Arch. 29, No. 5, 3405--3427 (2021; Zbl 1478.65085) Full Text: DOI OpenURL
Sayah, Toni A posteriori error estimates for the Brinkman-Darcy-Forchheimer problem. (English) Zbl 1476.76051 Comput. Appl. Math. 40, No. 7, Paper No. 256, 38 p. (2021). MSC: 76M10 76D05 65M15 76S05 PDF BibTeX XML Cite \textit{T. Sayah}, Comput. Appl. Math. 40, No. 7, Paper No. 256, 38 p. (2021; Zbl 1476.76051) Full Text: DOI arXiv OpenURL
Soszyńska, Martyna; Richter, Thomas Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation. (English) Zbl 1478.65088 BIT 61, No. 4, 1367-1396 (2021). MSC: 65M60 65M15 65M50 74F10 35K05 35L05 PDF BibTeX XML Cite \textit{M. Soszyńska} and \textit{T. Richter}, BIT 61, No. 4, 1367--1396 (2021; Zbl 1478.65088) Full Text: DOI arXiv OpenURL
Chaudhry, Jehanzeb H.; Estep, Donald; Tavener, Simon J. A posteriori error analysis for Schwarz overlapping domain decomposition methods. (English) Zbl 07430392 BIT 61, No. 4, 1153-1191 (2021). MSC: 65N15 65N50 65N55 68W10 PDF BibTeX XML Cite \textit{J. H. Chaudhry} et al., BIT 61, No. 4, 1153--1191 (2021; Zbl 07430392) Full Text: DOI arXiv OpenURL
Chamoin, Ludovic; Legoll, Frédéric Goal-oriented error estimation and adaptivity in MsFEM computations. (English) Zbl 1477.35258 Comput. Mech. 67, No. 4, 1201-1228 (2021); correction ibid. 68, No. 1, 229-230 (2021). MSC: 35Q74 74E30 74S05 65N30 65N15 35J15 PDF BibTeX XML Cite \textit{L. Chamoin} and \textit{F. Legoll}, Comput. Mech. 67, No. 4, 1201--1228 (2021; Zbl 1477.35258) Full Text: DOI arXiv OpenURL
Bespalov, Alex; Praetorius, Dirk; Ruggeri, Michele Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin finite element method. (English) Zbl 07414196 SIAM/ASA J. Uncertain. Quantif. 9, 1184-1216 (2021). MSC: 65-XX 35R60 65C20 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{A. Bespalov} et al., SIAM/ASA J. Uncertain. Quantif. 9, 1184--1216 (2021; Zbl 07414196) Full Text: DOI arXiv OpenURL
Bian, Huanying; Shen, Yedan; Hu, Guanghui An \(h\)-adaptive finite element solution of the relaxation non-equilibrium model for gravity-driven fingers. (English) Zbl 07409163 Adv. Appl. Math. Mech. 13, No. 6, 1418-1440 (2021). MSC: 65M60 65M06 65N30 65N50 65M15 76S05 35Q35 PDF BibTeX XML Cite \textit{H. Bian} et al., Adv. Appl. Math. Mech. 13, No. 6, 1418--1440 (2021; Zbl 07409163) Full Text: DOI OpenURL
Giani, Stefano; Grubišić, Luka; Hakula, Harri; Ovall, Jeffrey S. A posteriori error estimates for elliptic eigenvalue problems using auxiliary subspace techniques. (English) Zbl 1477.65213 J. Sci. Comput. 88, No. 3, Paper No. 55, 25 p. (2021). MSC: 65N30 65N25 65N15 65N50 PDF BibTeX XML Cite \textit{S. Giani} et al., J. Sci. Comput. 88, No. 3, Paper No. 55, 25 p. (2021; Zbl 1477.65213) Full Text: DOI arXiv OpenURL
Cao, Huihui; Huang, Yunqing; Yi, Nianyu Adaptive direct discontinuous Galerkin method for elliptic equations. (English) Zbl 07384074 Comput. Math. Appl. 97, 394-415 (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{H. Cao} et al., Comput. Math. Appl. 97, 394--415 (2021; Zbl 07384074) Full Text: DOI OpenURL
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements. (English) Zbl 1478.65116 J. Comput. Appl. Math. 398, Article ID 113673, 17 p. (2021). MSC: 65N30 65N50 65N15 35J25 PDF BibTeX XML Cite \textit{Z. Cai} et al., J. Comput. Appl. Math. 398, Article ID 113673, 17 p. (2021; Zbl 1478.65116) Full Text: DOI arXiv OpenURL
Buhr, Andreas; Iapichino, Laura; Ohlberger, Mario; Rave, Stephan; Schindler, Felix; Smetana, Kathrin Localized model reduction for parameterized problems. (English) Zbl 07358914 Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 245-305 (2021). MSC: 65Y15 65N30 65N55 65N15 35J20 35J25 PDF BibTeX XML Cite \textit{A. Buhr} et al., in: Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 245--305 (2021; Zbl 07358914) Full Text: DOI arXiv OpenURL
Bertrand, Fleurianne; Starke, Gerhard A posteriori error estimates by weakly symmetric stress reconstruction for the Biot problem. (English) Zbl 07351743 Comput. Math. Appl. 91, 3-16 (2021). MSC: 76-XX 74-XX PDF BibTeX XML Cite \textit{F. Bertrand} and \textit{G. Starke}, Comput. Math. Appl. 91, 3--16 (2021; Zbl 07351743) Full Text: DOI arXiv OpenURL
Li, Xiaodong; Hulshoff, Steven; Hickel, Stefan Towards adjoint-based mesh refinement for large eddy simulation using reduced-order primal solutions: preliminary 1D Burgers study. (English) Zbl 07340344 Comput. Methods Appl. Mech. Eng. 379, Article ID 113733, 21 p. (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{X. Li} et al., Comput. Methods Appl. Mech. Eng. 379, Article ID 113733, 21 p. (2021; Zbl 07340344) Full Text: DOI OpenURL
Irisarri, Diego; Hauke, Guillermo A posteriori error estimation and adaptivity based on VMS for the incompressible Navier-Stokes equations. (English) Zbl 07337790 Comput. Methods Appl. Mech. Eng. 373, Article ID 113508, 22 p. (2021). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{D. Irisarri} and \textit{G. Hauke}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113508, 22 p. (2021; Zbl 07337790) Full Text: DOI OpenURL
Mao, Wenting; Chen, Yanping; Wang, Huasheng A-posteriori error estimations of the GJF-Petrov-Galerkin methods for fractional differential equations. (English) Zbl 07336208 Comput. Math. Appl. 90, 159-170 (2021). MSC: 65-XX 49-XX PDF BibTeX XML Cite \textit{W. Mao} et al., Comput. Math. Appl. 90, 159--170 (2021; Zbl 07336208) Full Text: DOI OpenURL
Gribonval, Rémi; Nikolova, Mila On Bayesian estimation and proximity operators. (English) Zbl 1461.62040 Appl. Comput. Harmon. Anal. 50, 49-72 (2021). MSC: 62F15 62H35 60H40 60G35 94A12 90C90 PDF BibTeX XML Cite \textit{R. Gribonval} and \textit{M. Nikolova}, Appl. Comput. Harmon. Anal. 50, 49--72 (2021; Zbl 1461.62040) Full Text: DOI arXiv OpenURL
Cai, Zhiqiang; He, Cuiyu; Zhang, Shun Improved ZZ a posteriori error estimators for diffusion problems: discontinuous elements. (English) Zbl 1460.65143 Appl. Numer. Math. 159, 174-189 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N50 65N15 PDF BibTeX XML Cite \textit{Z. Cai} et al., Appl. Numer. Math. 159, 174--189 (2021; Zbl 1460.65143) Full Text: DOI OpenURL
Liu, Jie; Möller, Matthias; Schuttelaars, Henk M. Balancing truncation and round-off errors in FEM: one-dimensional analysis. (English) Zbl 1461.65220 J. Comput. Appl. Math. 386, Article ID 113219, 17 p. (2021). MSC: 65L60 65G50 PDF BibTeX XML Cite \textit{J. Liu} et al., J. Comput. Appl. Math. 386, Article ID 113219, 17 p. (2021; Zbl 1461.65220) Full Text: DOI arXiv OpenURL
Khan, Arbaz; Bespalov, Alex; Powell, Catherine E.; Silvester, David J. Robust a posteriori error estimation for parameter-dependent linear elasticity equations. (English) Zbl 1456.65162 Math. Comput. 90, No. 328, 613-636 (2021). MSC: 65N30 65N15 35R60 74B10 35Q74 PDF BibTeX XML Cite \textit{A. Khan} et al., Math. Comput. 90, No. 328, 613--636 (2021; Zbl 1456.65162) Full Text: DOI arXiv Link OpenURL
Bespalov, Alex; Rocchi, Leonardo; Silvester, David T-IFISS: a toolbox for adaptive FEM computation. (English) Zbl 07288719 Comput. Math. Appl. 81, 373-390 (2021). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{A. Bespalov} et al., Comput. Math. Appl. 81, 373--390 (2021; Zbl 07288719) Full Text: DOI arXiv OpenURL
Chaudhry, Jehanzeb H.; Collins, J. B. A posteriori error estimation for the spectral deferred correction method. (English) Zbl 07241423 J. Comput. Appl. Math. 382, Article ID 113097, 13 p. (2021). MSC: 65L60 65L70 PDF BibTeX XML Cite \textit{J. H. Chaudhry} and \textit{J. B. Collins}, J. Comput. Appl. Math. 382, Article ID 113097, 13 p. (2021; Zbl 07241423) Full Text: DOI arXiv OpenURL
Baccouch, Mahboub Asymptotically exact a posteriori error estimates for the local discontinuous Galerkin method for nonlinear KdV equations in one space dimension. (English) Zbl 1482.65177 Int. J. Numer. Anal. Model. 17, No. 6, 767-793 (2020). MSC: 65M60 35Q53 65M15 PDF BibTeX XML Cite \textit{M. Baccouch}, Int. J. Numer. Anal. Model. 17, No. 6, 767--793 (2020; Zbl 1482.65177) Full Text: Link Link OpenURL
Dakroub, Jad; Faddoul, Joanna; Sayah, Toni A posteriori analysis of the Newton method applied to the Navier-Stokes problem. (English) Zbl 1475.65188 J. Appl. Math. Comput. 63, No. 1-2, 411-437 (2020). MSC: 65N30 65N15 65J15 76D05 49M15 PDF BibTeX XML Cite \textit{J. Dakroub} et al., J. Appl. Math. Comput. 63, No. 1--2, 411--437 (2020; Zbl 1475.65188) Full Text: DOI OpenURL
Achchab, B.; Abda, A. Ben; Sakat, A. Stopping criteria based on the reciprocity gap concept for data boundary recovering. (English) Zbl 1473.35645 Appl. Comput. Math. 19, No. 3, 283-299 (2020). MSC: 35R30 31A25 65M15 35J05 PDF BibTeX XML Cite \textit{B. Achchab} et al., Appl. Comput. Math. 19, No. 3, 283--299 (2020; Zbl 1473.35645) Full Text: Link OpenURL
Bertrand, Fleurianne; Boffi, Daniele The Prager-Synge theorem in reconstruction based a posteriori error estimation. (English) Zbl 1477.65192 Brenner, Susanne C. (ed.) et al., 75 years of mathematics of computation. Symposium celebrating 75 years of mathematics of computation, Institute for Computational and Experimental Research in Mathematics, ICERM, Providence, RI, USA, November 1–3, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 754, 45-67 (2020). MSC: 65N30 65N50 65N15 65N12 35J05 PDF BibTeX XML Cite \textit{F. Bertrand} and \textit{D. Boffi}, Contemp. Math. 754, 45--67 (2020; Zbl 1477.65192) Full Text: DOI arXiv OpenURL
Khodadadian, Amirreza; Parvizi, Maryam; Heitzinger, Clemens An adaptive multilevel Monte Carlo algorithm for the stochastic drift-diffusion-Poisson system. (English) Zbl 1462.65166 Comput. Methods Appl. Mech. Eng. 368, Article ID 113163, 23 p. (2020). MSC: 65M75 65M50 65M12 65M15 60H15 35R60 82D37 65C30 PDF BibTeX XML Cite \textit{A. Khodadadian} et al., Comput. Methods Appl. Mech. Eng. 368, Article ID 113163, 23 p. (2020; Zbl 1462.65166) Full Text: DOI arXiv OpenURL
Sutton, Oliver J. Long-time \(L^\infty (L^2)\) a posteriori error estimates for fully discrete parabolic problems. (English) Zbl 1466.65147 IMA J. Numer. Anal. 40, No. 1, 498-529 (2020). MSC: 65M60 65M06 65N30 65M15 PDF BibTeX XML Cite \textit{O. J. Sutton}, IMA J. Numer. Anal. 40, No. 1, 498--529 (2020; Zbl 1466.65147) Full Text: DOI arXiv OpenURL
Valseth, Eirik; Romkes, Albert Goal-oriented error estimation for the automatic variationally stable FE method for convection-dominated diffusion problems. (English) Zbl 07283146 Comput. Math. Appl. 80, No. 12, 3027-3043 (2020). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{E. Valseth} and \textit{A. Romkes}, Comput. Math. Appl. 80, No. 12, 3027--3043 (2020; Zbl 07283146) Full Text: DOI arXiv OpenURL
He, Limin; Wang, Juan; Hou, Yushuang A posteriori error analysis for elliptic variational inequalities based on duality theory. (English) Zbl 1463.65350 Chin. J. Eng. Math. 37, No. 3, 370-390 (2020). MSC: 65N15 65K15 35J87 35B65 PDF BibTeX XML Cite \textit{L. He} et al., Chin. J. Eng. Math. 37, No. 3, 370--390 (2020; Zbl 1463.65350) Full Text: DOI OpenURL
Leonov, A. S. Extra-optimal methods for solving ill-posed problems: survey of theory and examples. (English. Russian original) Zbl 1453.65126 Comput. Math. Math. Phys. 60, No. 6, 960-986 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 6, 985-1012 (2020). MSC: 65J20 47J06 PDF BibTeX XML Cite \textit{A. S. Leonov}, Comput. Math. Math. Phys. 60, No. 6, 960--986 (2020; Zbl 1453.65126); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 6, 985--1012 (2020) Full Text: DOI OpenURL
Piga, Dario; Breschi, Valentina; Bemporad, Alberto Estimation of jump Box-Jenkins models. (English) Zbl 1448.93319 Automatica 120, Article ID 109126, 13 p. (2020). MSC: 93E10 93C30 PDF BibTeX XML Cite \textit{D. Piga} et al., Automatica 120, Article ID 109126, 13 p. (2020; Zbl 1448.93319) Full Text: DOI OpenURL
Bespalov, Alex; Xu, Feng A posteriori error estimation and adaptivity in stochastic Galerkin FEM for parametric elliptic PDEs: beyond the affine case. (English) Zbl 1447.65128 Comput. Math. Appl. 80, No. 5, 1084-1103 (2020). MSC: 65N30 65N75 65N15 35J25 65N50 PDF BibTeX XML Cite \textit{A. Bespalov} and \textit{F. Xu}, Comput. Math. Appl. 80, No. 5, 1084--1103 (2020; Zbl 1447.65128) Full Text: DOI arXiv OpenURL
Ballarin, Francesco; Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, Macarena; Rozza, Gianluigi Certified reduced basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height. (English) Zbl 1447.65067 Comput. Math. Appl. 80, No. 5, 973-989 (2020). MSC: 65M60 65M06 65M15 76R10 76F65 76M10 76M20 35Q35 PDF BibTeX XML Cite \textit{F. Ballarin} et al., Comput. Math. Appl. 80, No. 5, 973--989 (2020; Zbl 1447.65067) Full Text: DOI arXiv OpenURL
Heid, Pascal; Wihler, Thomas P. Adaptive iterative linearization Galerkin methods for nonlinear problems. (English) Zbl 07240964 Math. Comput. 89, No. 326, 2707-2734 (2020). MSC: 47H10 65N30 47J25 47H05 49M15 65J15 PDF BibTeX XML Cite \textit{P. Heid} and \textit{T. P. Wihler}, Math. Comput. 89, No. 326, 2707--2734 (2020; Zbl 07240964) Full Text: DOI arXiv OpenURL
Endtmayer, Bernhard; Langer, Ulrich.; Neitzel, I.; Wick, Thomas; Wollner, W. Multigoal-oriented optimal control problems with nonlinear PDE constraints. (English) Zbl 1445.49012 Comput. Math. Appl. 79, No. 10, 3001-3026 (2020). MSC: 49K20 65M60 49M25 49M41 PDF BibTeX XML Cite \textit{B. Endtmayer} et al., Comput. Math. Appl. 79, No. 10, 3001--3026 (2020; Zbl 1445.49012) Full Text: DOI arXiv OpenURL
Bertrand, Fleurianne; Kober, Bernhard; Moldenhauer, Marcel; Starke, Gerhard Equilibrated stress reconstruction and a posteriori error estimation for linear elasticity. (English) Zbl 1453.74076 Schröder, Jörg (ed.) et al., Novel finite element technologies for solids and structures. Papers based on the presentations at the CISM course, Udine, Italy, September 18–22, 2017. Cham: Springer. CISM Courses Lect. 597, 69-106 (2020). MSC: 74S05 65N30 65N15 74B10 35Q74 PDF BibTeX XML Cite \textit{F. Bertrand} et al., CISM Courses Lect. 597, 69--106 (2020; Zbl 1453.74076) Full Text: DOI OpenURL
Tirvaudey, Marie; Chamoin, Ludovic; Bouclier, Robin; Passieux, Jean-Charles A posteriori error estimation and adaptivity in non-intrusive couplings between concurrent models. (English) Zbl 1442.74239 Comput. Methods Appl. Mech. Eng. 367, Article ID 113104, 27 p. (2020). MSC: 74S05 65N30 65N15 PDF BibTeX XML Cite \textit{M. Tirvaudey} et al., Comput. Methods Appl. Mech. Eng. 367, Article ID 113104, 27 p. (2020; Zbl 1442.74239) Full Text: DOI OpenURL
Bulle, Raphaël; Chouly, Franz; Hale, Jack S.; Lozinski, Alexei Removing the saturation assumption in bank-Weiser error estimator analysis in dimension three. (English) Zbl 07210338 Appl. Math. Lett. 107, Article ID 106429, 6 p. (2020). MSC: 65-XX 62-XX PDF BibTeX XML Cite \textit{R. Bulle} et al., Appl. Math. Lett. 107, Article ID 106429, 6 p. (2020; Zbl 07210338) Full Text: DOI HAL OpenURL
Cai, Difeng; Cai, Zhiqiang; Zhang, Shun Robust equilibrated error estimator for diffusion problems: mixed finite elements in two dimensions. (English) Zbl 1437.65177 J. Sci. Comput. 83, No. 1, Paper No. 22, 22 p. (2020). MSC: 65N30 65N25 35J15 PDF BibTeX XML Cite \textit{D. Cai} et al., J. Sci. Comput. 83, No. 1, Paper No. 22, 22 p. (2020; Zbl 1437.65177) Full Text: DOI OpenURL
Jawecki, Tobias; Auzinger, Winfried; Koch, Othmar Computable upper error bounds for Krylov approximations to matrix exponentials and associated \(\varphi\)-functions. (English) Zbl 1432.65053 BIT 60, No. 1, 157-197 (2020). MSC: 65F60 15A16 65F15 PDF BibTeX XML Cite \textit{T. Jawecki} et al., BIT 60, No. 1, 157--197 (2020; Zbl 1432.65053) Full Text: DOI arXiv OpenURL
Chowdhury, Manisha; Kumar, B. V. Rathish On subgrid multiscale stabilized finite element method for advection-diffusion-reaction equation with variable coefficients. (English) Zbl 1448.35387 Appl. Numer. Math. 150, 576-586 (2020). MSC: 35Q35 35K57 65M60 65M15 65M12 PDF BibTeX XML Cite \textit{M. Chowdhury} and \textit{B. V. R. Kumar}, Appl. Numer. Math. 150, 576--586 (2020; Zbl 1448.35387) Full Text: DOI arXiv OpenURL
Wan, Andy T. S.; Laforest, Marc A posteriori error estimation for the \(p\)-curl problem. (English) Zbl 1469.65150 SIAM J. Numer. Anal. 58, No. 1, 460-491 (2020). Reviewer: Eric Chung (Hong Kong) MSC: 65M60 35K65 65M15 78M10 82D55 65M22 PDF BibTeX XML Cite \textit{A. T. S. Wan} and \textit{M. Laforest}, SIAM J. Numer. Anal. 58, No. 1, 460--491 (2020; Zbl 1469.65150) Full Text: DOI arXiv OpenURL
Ahmad Ali, Ahmad; Hinze, Michael Reduced basis methods – an application to variational discretization of parametrized elliptic optimal control problems. (English) Zbl 1432.49002 SIAM J. Sci. Comput. 42, No. 1, A271-A291 (2020). MSC: 49J20 65M12 65M15 65M60 35Q93 49K20 PDF BibTeX XML Cite \textit{A. Ahmad Ali} and \textit{M. Hinze}, SIAM J. Sci. Comput. 42, No. 1, A271--A291 (2020; Zbl 1432.49002) Full Text: DOI arXiv OpenURL
Chen, Yaoyao; Huang, Yunqing; Yi, Nianyu Recovery type a posteriori error estimation of adaptive finite element method for Allen-Cahn equation. (English) Zbl 1434.65225 J. Comput. Appl. Math. 369, Article ID 112574, 21 p. (2020). MSC: 65N15 65N30 65N50 65M06 65M15 35Q35 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Comput. Appl. Math. 369, Article ID 112574, 21 p. (2020; Zbl 1434.65225) Full Text: DOI OpenURL
Bhatt, Ashish; Fehr, Jörg; Grunert, Dennis; Haasdonk, Bernard A posteriori error estimation in model order reduction of elastic multibody systems with large rigid motion. (English) Zbl 1425.74452 Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 95-110 (2020). MSC: 74S05 65N30 65M15 PDF BibTeX XML Cite \textit{A. Bhatt} et al., IUTAM Bookser. 36, 95--110 (2020; Zbl 1425.74452) Full Text: DOI OpenURL
Cangiani, A.; Georgoulis, E. H.; Giani, Stefano; Metcalfe, S. \(hp\)-adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems. (English) Zbl 1443.65197 Comput. Math. Appl. 78, No. 9, 3090-3104 (2019). MSC: 65M60 PDF BibTeX XML Cite \textit{A. Cangiani} et al., Comput. Math. Appl. 78, No. 9, 3090--3104 (2019; Zbl 1443.65197) Full Text: DOI OpenURL
Scarabosio, Laura; Wohlmuth, Barbara; Oden, J. Tinsley; Faghihi, Danial Goal-oriented adaptive modeling of random heterogeneous media and model-based multilevel Monte Carlo methods. (English) Zbl 1443.65008 Comput. Math. Appl. 78, No. 8, 2700-2718 (2019). MSC: 65C05 PDF BibTeX XML Cite \textit{L. Scarabosio} et al., Comput. Math. Appl. 78, No. 8, 2700--2718 (2019; Zbl 1443.65008) Full Text: DOI arXiv OpenURL
Chen, Yaoyao; Huang, Yunqing; Yi, Nianyu A SCR-based error estimation and adaptive finite element method for the Allen-Cahn equation. (English) Zbl 1442.65253 Comput. Math. Appl. 78, No. 1, 204-223 (2019). MSC: 65M60 65M15 65M50 82C26 PDF BibTeX XML Cite \textit{Y. Chen} et al., Comput. Math. Appl. 78, No. 1, 204--223 (2019; Zbl 1442.65253) Full Text: DOI OpenURL
Thai, H. P.; Chamoin, L.; Ha-Minh, C. A posteriori error estimation for isogeometric analysis using the concept of constitutive relation error. (English) Zbl 1441.65110 Comput. Methods Appl. Mech. Eng. 355, 1062-1096 (2019). MSC: 65N30 65D07 PDF BibTeX XML Cite \textit{H. P. Thai} et al., Comput. Methods Appl. Mech. Eng. 355, 1062--1096 (2019; Zbl 1441.65110) Full Text: DOI OpenURL
Zou, Zilong; Kouri, Drew; Aquino, Wilkins An adaptive local reduced basis method for solving PDEs with uncertain inputs and evaluating risk. (English) Zbl 1440.65270 Comput. Methods Appl. Mech. Eng. 345, 302-322 (2019). MSC: 65N75 PDF BibTeX XML Cite \textit{Z. Zou} et al., Comput. Methods Appl. Mech. Eng. 345, 302--322 (2019; Zbl 1440.65270) Full Text: DOI Link OpenURL
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas Multigoal-oriented error estimates for non-linear problems. (English) Zbl 1435.65200 J. Numer. Math. 27, No. 4, 215-236 (2019). MSC: 65N30 65M60 49M15 35Q74 65N15 65K10 PDF BibTeX XML Cite \textit{B. Endtmayer} et al., J. Numer. Math. 27, No. 4, 215--236 (2019; Zbl 1435.65200) Full Text: DOI arXiv OpenURL
Aretz-Nellesen, Nicole; Grepl, Martin A.; Veroy, Karen 3D-VAR for parameterized partial differential equations: a certified reduced basis approach. (English) Zbl 1434.49019 Adv. Comput. Math. 45, No. 5-6, 2369-2400 (2019). MSC: 49K20 65K10 65M15 65M60 PDF BibTeX XML Cite \textit{N. Aretz-Nellesen} et al., Adv. Comput. Math. 45, No. 5--6, 2369--2400 (2019; Zbl 1434.49019) Full Text: DOI arXiv OpenURL
He, Cuiyu; Zhang, Xu Residual-based a posteriori error estimation for immersed finite element methods. (English) Zbl 1429.65276 J. Sci. Comput. 81, No. 3, 2051-2079 (2019). MSC: 65N30 35R05 65N15 PDF BibTeX XML Cite \textit{C. He} and \textit{X. Zhang}, J. Sci. Comput. 81, No. 3, 2051--2079 (2019; Zbl 1429.65276) Full Text: DOI arXiv OpenURL
Mitchell, William F.; Villarrubia, John S. An a posteriori error estimate for scanning electron microscope simulation with adaptive mesh refinement. (English) Zbl 1428.65091 J. Sci. Comput. 80, No. 3, 1700-1715 (2019). MSC: 65N30 65N50 78A15 78A30 65N15 PDF BibTeX XML Cite \textit{W. F. Mitchell} and \textit{J. S. Villarrubia}, J. Sci. Comput. 80, No. 3, 1700--1715 (2019; Zbl 1428.65091) Full Text: DOI Link OpenURL
Manzoni, Andrea; Pagani, Stefano A certified RB method for PDE-constrained parametric optimization problems. (English) Zbl 1422.49007 Commun. Appl. Ind. Math. 10, No. 1, 123-152 (2019). MSC: 49J20 65K10 65M15 65M60 65N12 93C20 PDF BibTeX XML Cite \textit{A. Manzoni} and \textit{S. Pagani}, Commun. Appl. Ind. Math. 10, No. 1, 123--152 (2019; Zbl 1422.49007) Full Text: DOI OpenURL
Crowder, Adam J.; Powell, Catherine E.; Bespalov, Alex Efficient adaptive multilevel stochastic Galerkin approximation using implicit a posteriori error estimation. (English) Zbl 1420.65120 SIAM J. Sci. Comput. 41, No. 3, A1681-A1705 (2019). MSC: 65N30 35J25 35R60 60H35 65N15 65N75 PDF BibTeX XML Cite \textit{A. J. Crowder} et al., SIAM J. Sci. Comput. 41, No. 3, A1681--A1705 (2019; Zbl 1420.65120) Full Text: DOI arXiv OpenURL
Canuto, Claudio; Nochetto, Ricardo H.; Stevenson, Rob P.; Verani, Marco A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square. (English) Zbl 1426.65187 ESAIM, Math. Model. Numer. Anal. 53, No. 3, 987-1003 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 65N35 65N30 65N50 65N55 65N15 35J05 PDF BibTeX XML Cite \textit{C. Canuto} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 3, 987--1003 (2019; Zbl 1426.65187) Full Text: DOI arXiv OpenURL
Beirão da Veiga, L.; Manzini, G.; Mascotto, L. A posteriori error estimation and adaptivity in hp virtual elements. (English) Zbl 1428.65076 Numer. Math. 143, No. 1, 139-175 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 65N15 65N50 PDF BibTeX XML Cite \textit{L. Beirão da Veiga} et al., Numer. Math. 143, No. 1, 139--175 (2019; Zbl 1428.65076) Full Text: DOI arXiv OpenURL
Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar; Quell, Michael; Thalhammer, Mechthild A posteriori error estimation for Magnus-type integrators. (English) Zbl 1416.65188 ESAIM, Math. Model. Numer. Anal. 53, No. 1, 197-218 (2019). MSC: 65L05 65L20 65L50 65L70 PDF BibTeX XML Cite \textit{W. Auzinger} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 1, 197--218 (2019; Zbl 1416.65188) Full Text: DOI OpenURL
Nochetto, Ricardo H.; Stamm, Benjamin A posteriori error estimates for the electric field integral equation on polyhedra. (English) Zbl 1416.65309 Chetverushkin, B. N. (ed.) et al., Contributions to partial differential equations and applications. Invited papers of the conferences ‘Contributions to partial differential equations’, Université Pierre et Marie Curie, Paris, France, August 31 – September 1, 2015 and ‘Applied and computational mathematics’, University of Houston, Texas, USA, February 26–27, 2016. Cham: Springer. Comput. Methods Appl. Sci. 47, 371-394 (2019). MSC: 65M15 65R20 78M25 PDF BibTeX XML Cite \textit{R. H. Nochetto} and \textit{B. Stamm}, Comput. Methods Appl. Sci. 47, 371--394 (2019; Zbl 1416.65309) Full Text: DOI arXiv OpenURL
Naddei, Fabio; de la Llave Plata, Marta; Couaillier, Vincent; Coquel, Frédéric A comparison of refinement indicators for \(p\)-adaptive simulations of steady and unsteady flows using discontinuous Galerkin methods. (English) Zbl 1416.76122 J. Comput. Phys. 376, 508-533 (2019). MSC: 76M10 65M60 65N30 76N15 PDF BibTeX XML Cite \textit{F. Naddei} et al., J. Comput. Phys. 376, 508--533 (2019; Zbl 1416.76122) Full Text: DOI OpenURL
Smetana, Kathrin; Zahm, Olivier; Patera, Anthony T. Randomized residual-based error estimators for parametrized equations. (English) Zbl 1411.65148 SIAM J. Sci. Comput. 41, No. 2, A900-A926 (2019). MSC: 65N15 65C05 65N30 68Q25 62G15 PDF BibTeX XML Cite \textit{K. Smetana} et al., SIAM J. Sci. Comput. 41, No. 2, A900--A926 (2019; Zbl 1411.65148) Full Text: DOI arXiv OpenURL
Boey, Edward; Bourgault, Yves; Giordano, Thierry Anisotropic residual based a posteriori mesh adaptation in 2D: element based approach. (English) Zbl 1462.65178 J. Comput. Appl. Math. 349, 1-20 (2019). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{E. Boey} et al., J. Comput. Appl. Math. 349, 1--20 (2019; Zbl 1462.65178) Full Text: DOI arXiv OpenURL
Chaudhry, Jehanzeb H.; Shadid, John N.; Wildey, Timothy A posteriori analysis of an IMEX entropy-viscosity formulation for hyperbolic conservation laws with dissipation. (English) Zbl 1404.65163 Appl. Numer. Math. 135, 129-142 (2019). MSC: 65M60 65M15 65M22 35L65 65L05 35D40 PDF BibTeX XML Cite \textit{J. H. Chaudhry} et al., Appl. Numer. Math. 135, 129--142 (2019; Zbl 1404.65163) Full Text: DOI OpenURL
Kärcher, Mark; Boyaval, Sébastien; Grepl, Martin A.; Veroy, Karen Reduced basis approximation and a posteriori error bounds for 4D-var data assimilation. (English) Zbl 07465690 Optim. Eng. 19, No. 3, 663-695 (2018). MSC: 65Nxx 65Mxx 35Jxx PDF BibTeX XML Cite \textit{M. Kärcher} et al., Optim. Eng. 19, No. 3, 663--695 (2018; Zbl 07465690) Full Text: DOI arXiv OpenURL
Colomés, Oriol; Scovazzi, Guglielmo; Guilleminot, Johann On the robustness of variational multiscale error estimators for the forward propagation of uncertainty. (English) Zbl 1440.65196 Comput. Methods Appl. Mech. Eng. 342, 384-413 (2018). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{O. Colomés} et al., Comput. Methods Appl. Mech. Eng. 342, 384--413 (2018; Zbl 1440.65196) Full Text: DOI OpenURL
Bishop, Joseph E.; Brown, Judith A. Adaptive reduction of constitutive model-form error using a posteriori error estimation techniques. (English) Zbl 1440.74376 Comput. Methods Appl. Mech. Eng. 340, 577-599 (2018). MSC: 74S05 65N15 74A20 PDF BibTeX XML Cite \textit{J. E. Bishop} and \textit{J. A. Brown}, Comput. Methods Appl. Mech. Eng. 340, 577--599 (2018; Zbl 1440.74376) Full Text: DOI OpenURL
Cai, Difeng; Cai, Zhiqiang A hybrid a posteriori error estimator for conforming finite element approximations. (English) Zbl 1440.65187 Comput. Methods Appl. Mech. Eng. 339, 320-340 (2018). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{D. Cai} and \textit{Z. Cai}, Comput. Methods Appl. Mech. Eng. 339, 320--340 (2018; Zbl 1440.65187) Full Text: DOI OpenURL
Bayona-Roa, Camilo; Codina, Ramon; Baiges, Joan Variational multiscale error estimators for the adaptive mesh refinement of compressible flow simulations. (English) Zbl 1440.76050 Comput. Methods Appl. Mech. Eng. 337, 501-526 (2018). MSC: 76M10 65M60 65M15 65M50 76Nxx PDF BibTeX XML Cite \textit{C. Bayona-Roa} et al., Comput. Methods Appl. Mech. Eng. 337, 501--526 (2018; Zbl 1440.76050) Full Text: DOI Link OpenURL
Granzow, Brian N.; Oberai, Assad A.; Shephard, Mark S. Adjoint-based error estimation and mesh adaptation for stabilized finite deformation elasticity. (English) Zbl 1440.74394 Comput. Methods Appl. Mech. Eng. 337, 263-280 (2018). MSC: 74S05 65N30 65N12 65N15 74B20 PDF BibTeX XML Cite \textit{B. N. Granzow} et al., Comput. Methods Appl. Mech. Eng. 337, 263--280 (2018; Zbl 1440.74394) Full Text: DOI OpenURL
Chamoin, Ludovic; Legoll, Frédéric A posteriori error estimation and adaptive strategy for the control of MsFEM computations. (English) Zbl 1440.65191 Comput. Methods Appl. Mech. Eng. 336, 1-38 (2018). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{L. Chamoin} and \textit{F. Legoll}, Comput. Methods Appl. Mech. Eng. 336, 1--38 (2018; Zbl 1440.65191) Full Text: DOI arXiv OpenURL
Deokar, R.; Maxam, D.; Tamma, K. K. A novel and simple a posteriori error estimator for LMS methods under the umbrella of GSSSS framework: adaptive time stepping in second-order dynamical systems. (English) Zbl 1440.65133 Comput. Methods Appl. Mech. Eng. 334, 414-439 (2018). MSC: 65M60 65M15 65M50 PDF BibTeX XML Cite \textit{R. Deokar} et al., Comput. Methods Appl. Mech. Eng. 334, 414--439 (2018; Zbl 1440.65133) Full Text: DOI OpenURL
Li, Harriet; Garg, Vikram V.; Willcox, Karen Model adaptivity for goal-oriented inference using adjoints. (English) Zbl 1439.74502 Comput. Methods Appl. Mech. Eng. 331, 1-22 (2018). MSC: 74S99 65N21 74G75 PDF BibTeX XML Cite \textit{H. Li} et al., Comput. Methods Appl. Mech. Eng. 331, 1--22 (2018; Zbl 1439.74502) Full Text: DOI Link OpenURL
Matculevich, Svetlana; Wolfmayr, Monika On the a posteriori error analysis for linear Fokker-Planck models in convection-dominated diffusion problems. (English) Zbl 1428.82048 Appl. Math. Comput. 339, 779-804 (2018). MSC: 82C31 82M10 82M99 65N30 65N15 PDF BibTeX XML Cite \textit{S. Matculevich} and \textit{M. Wolfmayr}, Appl. Math. Comput. 339, 779--804 (2018; Zbl 1428.82048) Full Text: DOI arXiv OpenURL
Zhang, Y.; Forssén, P.; Fornstedt, T.; Gulliksson, M.; Dai, X. An adaptive regularization algorithm for recovering the rate constant distribution from biosensor data. (English) Zbl 1428.65037 Inverse Probl. Sci. Eng. 26, No. 10, 1464-1489 (2018). MSC: 65M32 35R25 35R30 65M15 65M60 65K15 80A32 45B05 65M30 65M50 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Inverse Probl. Sci. Eng. 26, No. 10, 1464--1489 (2018; Zbl 1428.65037) Full Text: DOI OpenURL
Fick, Lambert; Maday, Yvon; Patera, Anthony T.; Taddei, Tommaso A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection. (English) Zbl 1415.76387 J. Comput. Phys. 371, 214-243 (2018). MSC: 76F55 76D05 76M10 PDF BibTeX XML Cite \textit{L. Fick} et al., J. Comput. Phys. 371, 214--243 (2018; Zbl 1415.76387) Full Text: DOI OpenURL
Weißer, Steffen; Wick, Thomas The dual-weighted residual estimator realized on polygonal meshes. (English) Zbl 1422.65417 Comput. Methods Appl. Math. 18, No. 4, 753-776 (2018). Reviewer: Dana Černá (Liberec) MSC: 65N30 65N38 65N50 65N15 PDF BibTeX XML Cite \textit{S. Weißer} and \textit{T. Wick}, Comput. Methods Appl. Math. 18, No. 4, 753--776 (2018; Zbl 1422.65417) Full Text: DOI OpenURL
Hu, Guanghui; Meng, Xucheng; Tang, Tao On robust and adaptive finite volume methods for steady Euler equations. (English) Zbl 1407.76086 Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems II, Aachen, Germany, August 2016. Cham: Springer. Springer Proc. Math. Stat. 237, 21-40 (2018). MSC: 76M12 35Q31 65M08 PDF BibTeX XML Cite \textit{G. Hu} et al., Springer Proc. Math. Stat. 237, 21--40 (2018; Zbl 1407.76086) Full Text: DOI OpenURL
Guignard, Diane; Nobile, Fabio A posteriori error estimation for the stochastic collocation finite element method. (English) Zbl 1402.65159 SIAM J. Numer. Anal. 56, No. 5, 3121-3143 (2018). MSC: 65N30 65C30 60H15 65N15 PDF BibTeX XML Cite \textit{D. Guignard} and \textit{F. Nobile}, SIAM J. Numer. Anal. 56, No. 5, 3121--3143 (2018; Zbl 1402.65159) Full Text: DOI OpenURL
Wang, Liupeng; Yi, Nianyu The \({L^2}\) norm error estimate for linear element and its applications. (Chinese. English summary) Zbl 1413.65347 Nat. Sci. J. Xiangtan Univ. 40, No. 1, 19-23 (2018). MSC: 65M15 65M60 PDF BibTeX XML Cite \textit{L. Wang} and \textit{N. Yi}, Nat. Sci. J. Xiangtan Univ. 40, No. 1, 19--23 (2018; Zbl 1413.65347) Full Text: DOI OpenURL
Baccouch, Mahboub Asymptotically exact posteriori error estimates for the local discontinuous Galerkin method applied to nonlinear convection-diffusion problems. (English) Zbl 1456.65104 J. Sci. Comput. 76, No. 3, 1868-1904 (2018). MSC: 65M60 65M12 65M15 65M50 65N30 PDF BibTeX XML Cite \textit{M. Baccouch}, J. Sci. Comput. 76, No. 3, 1868--1904 (2018; Zbl 1456.65104) Full Text: DOI OpenURL
Zhao, Lina; Park, Eun-Jae A staggered discontinuous Galerkin method of minimal dimension on quadrilateral and polygonal meshes. (English) Zbl 1397.65300 SIAM J. Sci. Comput. 40, No. 4, A2543-A2567 (2018). MSC: 65N30 65N50 65N12 65N15 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{E.-J. Park}, SIAM J. Sci. Comput. 40, No. 4, A2543--A2567 (2018; Zbl 1397.65300) Full Text: DOI OpenURL
Chaudhry, Jehanzeb H. A posteriori analysis and efficient refinement strategies for the Poisson-Boltzmann equation. (English) Zbl 1397.65236 SIAM J. Sci. Comput. 40, No. 4, A2519-A2542 (2018). MSC: 65N15 92-08 65N50 65N30 35Q20 35Q60 PDF BibTeX XML Cite \textit{J. H. Chaudhry}, SIAM J. Sci. Comput. 40, No. 4, A2519--A2542 (2018; Zbl 1397.65236) Full Text: DOI arXiv OpenURL
Carraro, Thomas; Dörsam, Simon; Frei, Stefan; Schwarz, Daniel An adaptive Newton algorithm for optimal control problems with application to optimal electrode design. (English) Zbl 1396.49023 J. Optim. Theory Appl. 177, No. 2, 498-534 (2018). MSC: 49M15 49K20 65N30 49M05 65K10 92B20 PDF BibTeX XML Cite \textit{T. Carraro} et al., J. Optim. Theory Appl. 177, No. 2, 498--534 (2018; Zbl 1396.49023) Full Text: DOI arXiv OpenURL
Buhr, Andreas; Smetana, Kathrin Randomized local model order reduction. (English) Zbl 1394.65135 SIAM J. Sci. Comput. 40, No. 4, A2120-A2151 (2018). MSC: 65N15 65N12 65N55 65N30 65C20 65N25 PDF BibTeX XML Cite \textit{A. Buhr} and \textit{K. Smetana}, SIAM J. Sci. Comput. 40, No. 4, A2120--A2151 (2018; Zbl 1394.65135) Full Text: DOI arXiv OpenURL
Rademacher, Andreas; Rosin, Korinna Adaptive optimal control of Signorini’s problem. (English) Zbl 1397.49015 Comput. Optim. Appl. 70, No. 2, 531-569 (2018). MSC: 49J40 49M15 49M25 PDF BibTeX XML Cite \textit{A. Rademacher} and \textit{K. Rosin}, Comput. Optim. Appl. 70, No. 2, 531--569 (2018; Zbl 1397.49015) Full Text: DOI Link OpenURL