Dakroub, Jad; Faddoul, Joanna; Omnes, Pascal; Sayah, Toni A posteriori error estimates for the time-dependent Navier-Stokes system coupled with the convection-diffusion-reaction equation. (English) Zbl 07741461 Adv. Comput. Math. 49, No. 4, Paper No. 67, 60 p. (2023). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{J. Dakroub} et al., Adv. Comput. Math. 49, No. 4, Paper No. 67, 60 p. (2023; Zbl 07741461) Full Text: DOI
Becker, Roland; Brunner, Maximilian; Innerberger, Michael; Melenk, Jens Markus; Praetorius, Dirk Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. (English) Zbl 07739210 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2193-2225 (2023). MSC: 65N30 65N50 65N12 65N15 65Y20 41A25 35J61 PDF BibTeX XML Cite \textit{R. Becker} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2193--2225 (2023; Zbl 07739210) Full Text: DOI arXiv
Nassreddine, Ghina; Omnes, Pascal; Sayah, Toni A posteriori error estimates for the large eddy simulation applied to incompressible fluids. (English) Zbl 07739209 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2159-2191 (2023). MSC: 65M50 65M15 76F65 76D05 PDF BibTeX XML Cite \textit{G. Nassreddine} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2159--2191 (2023; Zbl 07739209) Full Text: DOI
Kang, Shinseong; Lee, Kyunghoon Parametric estimation of a stability factor for certified reduced basis methods via adaptive Gaussian process. (English) Zbl 07725691 Comput. Methods Appl. Mech. Eng. 414, Article ID 116147, 28 p. (2023). MSC: 65-XX 62-XX PDF BibTeX XML Cite \textit{S. Kang} and \textit{K. Lee}, Comput. Methods Appl. Mech. Eng. 414, Article ID 116147, 28 p. (2023; Zbl 07725691) Full Text: DOI
Edel, P.; Maday, Y. Dual natural-norm a posteriori error estimators for reduced basis approximations to parametrized linear equations. (English) Zbl 07716181 Math. Models Methods Appl. Sci. 33, No. 6, 1215-1244 (2023). MSC: 65-XX 47B02 65N15 65N30 PDF BibTeX XML Cite \textit{P. Edel} and \textit{Y. Maday}, Math. Models Methods Appl. Sci. 33, No. 6, 1215--1244 (2023; Zbl 07716181) Full Text: DOI
Hoppe, R. H. W. An adaptive \(\mathrm{C}^0\) Interior penalty discontinuous Galerkin method and an equilibrated a posteriori error estimator for the von Kármán equations. (English) Zbl 07710405 Appl. Numer. Math. 190, 27-49 (2023). MSC: 65Nxx 35Jxx 74Kxx PDF BibTeX XML Cite \textit{R. H. W. Hoppe}, Appl. Numer. Math. 190, 27--49 (2023; Zbl 07710405) Full Text: DOI
Dietze, Saskia; Grepl, Martin A. Reduced order model predictive control for parametrized parabolic partial differential equations. (English) Zbl 07702354 Appl. Math. Comput. 453, Article ID 128044, 28 p. (2023). MSC: 35K15 35Q93 49K20 65M22 93C20 PDF BibTeX XML Cite \textit{S. Dietze} and \textit{M. A. Grepl}, Appl. Math. Comput. 453, Article ID 128044, 28 p. (2023; Zbl 07702354) Full Text: DOI arXiv
Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, Macarena On a certified VMS-Smagorinsky reduced basis model with LPS pressure stabilisation. (English) Zbl 07699014 Appl. Numer. Math. 185, 365-385 (2023). MSC: 65Nxx 76Mxx 65Mxx PDF BibTeX XML Cite \textit{T. Chacón Rebollo} et al., Appl. Numer. Math. 185, 365--385 (2023; Zbl 07699014) Full Text: DOI arXiv
Franz, Sebastian; Kopteva, Natalia Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations. (English) Zbl 1514.65116 J. Comput. Appl. Math. 427, Article ID 115122, 18 p. (2023). MSC: 65M15 35R11 PDF BibTeX XML Cite \textit{S. Franz} and \textit{N. Kopteva}, J. Comput. Appl. Math. 427, Article ID 115122, 18 p. (2023; Zbl 1514.65116) Full Text: DOI arXiv
Bulle, Raphaël; Barrera, Olga; Bordas, Stéphane P. A.; Chouly, Franz; Hale, Jack S. An a posteriori error estimator for the spectral fractional power of the Laplacian. (English) Zbl 07665597 Comput. Methods Appl. Mech. Eng. 407, Article ID 115943, 27 p. (2023). MSC: 65N15 65N30 PDF BibTeX XML Cite \textit{R. Bulle} et al., Comput. Methods Appl. Mech. Eng. 407, Article ID 115943, 27 p. (2023; Zbl 07665597) Full Text: DOI arXiv
Yang, Wei; Liu, Xin; He, Bin; Huang, Yunqing The a posteriori error estimator of SDG method for variable coefficients time-harmonic Maxwell’s equations. (English) Zbl 1515.65301 J. Comput. Math. 41, No. 2, 263-286 (2023). MSC: 65N30 65F10 PDF BibTeX XML Cite \textit{W. Yang} et al., J. Comput. Math. 41, No. 2, 263--286 (2023; Zbl 1515.65301) Full Text: DOI
Hoppe, R. H. W. A space-time adaptive discontinuous Galerkin method for the numerical solution of the dynamic quasi-static von Kármán equations. (English) Zbl 07648414 Comput. Math. Appl. 132, 32-47 (2023). MSC: 65N30 65N15 74K20 35J25 35J05 PDF BibTeX XML Cite \textit{R. H. W. Hoppe}, Comput. Math. Appl. 132, 32--47 (2023; Zbl 07648414) Full Text: DOI
Chowdhury, Manisha; Kumar, B. V. Rathish Simplified subgrid multiscale stabilized finite element method in the transient framework for Stokes equations. (English) Zbl 07640816 J. Comput. Appl. Math. 423, Article ID 114956, 18 p. (2023). MSC: 76M10 76D05 65N30 65M60 35Q30 PDF BibTeX XML Cite \textit{M. Chowdhury} and \textit{B. V. R. Kumar}, J. Comput. Appl. Math. 423, Article ID 114956, 18 p. (2023; Zbl 07640816) Full Text: DOI
Hoppe, Ronald H. W. A \(\mathrm{C}^0\) Interior Penalty Discontinuous Galerkin method and an equilibrated a posteriori error estimator for a nonlinear fourth order elliptic boundary value problem of \(p\)-biharmonic type. (English) Zbl 07609839 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2051-2079 (2022). MSC: 65-XX 35K35 35K55 65M60 PDF BibTeX XML Cite \textit{R. H. W. Hoppe}, ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2051--2079 (2022; Zbl 07609839) Full Text: DOI
Bachmayr, Markus; Voulis, Igor An adaptive stochastic Galerkin method based on multilevel expansions of random fields: convergence and optimality. (English) Zbl 1501.35147 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 1955-1992 (2022). MSC: 35J15 35R60 65N30 PDF BibTeX XML Cite \textit{M. Bachmayr} and \textit{I. Voulis}, ESAIM, Math. Model. Numer. Anal. 56, No. 6, 1955--1992 (2022; Zbl 1501.35147) Full Text: DOI arXiv
Anaya, Verónica; Mora, David; Pani, Amiya K.; Ruiz-Baier, Ricardo Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations. (English) Zbl 1502.65184 J. Numer. Math. 30, No. 3, 209-230 (2022). MSC: 65N30 65N12 65N15 76D07 76M10 35Q35 PDF BibTeX XML Cite \textit{V. Anaya} et al., J. Numer. Math. 30, No. 3, 209--230 (2022; Zbl 1502.65184) Full Text: DOI
John, Volker; Moreau, Baptiste; Novo, Julia Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations. (English) Zbl 07585768 Comput. Math. Appl. 122, 48-60 (2022). MSC: 65M60 76D05 76M10 65N30 65M15 PDF BibTeX XML Cite \textit{V. John} et al., Comput. Math. Appl. 122, 48--60 (2022; Zbl 07585768) Full Text: DOI
Dick, Josef; Longo, Marcello; Schwab, Christoph Extrapolated polynomial lattice rule integration in computational uncertainty quantification. (English) Zbl 1494.65004 SIAM/ASA J. Uncertain. Quantif. 10, 651-686 (2022). MSC: 65C05 65N30 35J25 PDF BibTeX XML Cite \textit{J. Dick} et al., SIAM/ASA J. Uncertain. Quantif. 10, 651--686 (2022; Zbl 1494.65004) Full Text: DOI
Anaya, Verónica; Khan, Arbaz; Mora, David; Ruiz-Baier, Ricardo Robust a posteriori error analysis for rotation-based formulations of the elasticity/poroelasticity coupling. (English) Zbl 1492.65298 SIAM J. Sci. Comput. 44, No. 4, B964-B995 (2022). MSC: 65N30 65N15 65N50 74F99 74A50 76S05 PDF BibTeX XML Cite \textit{V. Anaya} et al., SIAM J. Sci. Comput. 44, No. 4, B964--B995 (2022; Zbl 1492.65298) Full Text: DOI arXiv
Bespalov, Alex; Praetorius, Dirk; Ruggeri, Michele Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM. (English) Zbl 1502.65188 IMA J. Numer. Anal. 42, No. 3, 2190-2213 (2022). MSC: 65N30 65N15 35J25 35R60 PDF BibTeX XML Cite \textit{A. Bespalov} et al., IMA J. Numer. Anal. 42, No. 3, 2190--2213 (2022; Zbl 1502.65188) Full Text: DOI
Wang, Lixiu; Zhang, Qian; Sun, Jiguang; Zhang, Zhimin A priori and a posteriori error estimates for the quad-curl eigenvalue problem. (English) Zbl 1490.65256 ESAIM, Math. Model. Numer. Anal. 56, No. 3, 1027-1051 (2022). MSC: 65N25 65N15 65N30 76W05 PDF BibTeX XML Cite \textit{L. Wang} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 3, 1027--1051 (2022; Zbl 1490.65256) Full Text: DOI arXiv
Becker, Roland; Brunner, Maximilian; Innerberger, Michael; Melenk, Jens Markus; Praetorius, Dirk Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs. (English) Zbl 07546697 Comput. Math. Appl. 118, 18-35 (2022). MSC: 65N30 65N50 65N12 65N15 35J25 PDF BibTeX XML Cite \textit{R. Becker} et al., Comput. Math. Appl. 118, 18--35 (2022; Zbl 07546697) Full Text: DOI
Houston, Paul; Rourke, Connor J.; van der Zee, Kristoffer G. Linearization of the travel time functional in porous media flows. (English) Zbl 1490.65198 SIAM J. Sci. Comput. 44, No. 3, B531-B557 (2022). MSC: 65M60 65M15 65M50 76S05 PDF BibTeX XML Cite \textit{P. Houston} et al., SIAM J. Sci. Comput. 44, No. 3, B531--B557 (2022; Zbl 1490.65198) Full Text: DOI arXiv
Walloth, Mirjam; Wollner, Winnifried A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model with irreversibility constraints. (English) Zbl 1490.65212 SIAM J. Sci. Comput. 44, No. 3, B479-B505 (2022). MSC: 65M60 35J86 65M15 65M50 74R10 74S05 PDF BibTeX XML Cite \textit{M. Walloth} and \textit{W. Wollner}, SIAM J. Sci. Comput. 44, No. 3, B479--B505 (2022; Zbl 1490.65212) Full Text: DOI arXiv
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 arXiv
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 1499.35730 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 1499.35730) Full Text: Link
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 arXiv
Liu, Li-Bin; Chen, Yanping A posteriori error estimation and adaptive strategy for a nonlinear fractional differential equation. (English) Zbl 1499.65281 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 1499.65281) Full Text: DOI
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
Gantner, Gregor; van Venetië, Raymond Adaptive space-time BEM for the heat equation. (English) Zbl 07469201 Comput. Math. Appl. 107, 117-131 (2022). MSC: 65N38 65M38 65R20 35K05 65N15 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
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
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
Khan, Arbaz; Silvester, David J. Robust a posteriori error estimation for mixed finite element approximation of linear poroelasticity. (English) Zbl 1511.65124 IMA J. Numer. Anal. 41, No. 3, 2000-2025 (2021). MSC: 65N30 65N15 76S05 74F10 74B10 76M10 74S05 35Q35 35Q74 PDF BibTeX XML Cite \textit{A. Khan} and \textit{D. J. Silvester}, IMA J. Numer. Anal. 41, No. 3, 2000--2025 (2021; Zbl 1511.65124) Full Text: DOI
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
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
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
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
Cao, Shuhao A simple virtual element-based flux recovery on quadtree. (English) Zbl 1490.65262 Electron Res. Arch. 29, No. 6, 3629-3647 (2021). MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{S. Cao}, Electron Res. Arch. 29, No. 6, 3629--3647 (2021; Zbl 1490.65262) Full Text: DOI arXiv
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
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
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
Chaudhry, Jehanzeb H.; Estep, Donald; Tavener, Simon J. A posteriori error analysis for Schwarz overlapping domain decomposition methods. (English) Zbl 1492.65342 BIT 61, No. 4, 1153-1191 (2021). MSC: 65N55 65N06 65N50 65N15 65Y05 68W10 PDF BibTeX XML Cite \textit{J. H. Chaudhry} et al., BIT 61, No. 4, 1153--1191 (2021; Zbl 1492.65342) Full Text: DOI arXiv
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
Bespalov, Alex; Praetorius, Dirk; Ruggeri, Michele Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin finite element method. (English) Zbl 1516.65125 SIAM/ASA J. Uncertain. Quantif. 9, 1184-1216 (2021). MSC: 65N30 65N50 65N15 65C20 65F08 65F10 35R60 PDF BibTeX XML Cite \textit{A. Bespalov} et al., SIAM/ASA J. Uncertain. Quantif. 9, 1184--1216 (2021; Zbl 1516.65125) Full Text: DOI arXiv
Bian, Huanying; Shen, Yedan; Hu, Guanghui An \(h\)-adaptive finite element solution of the relaxation non-equilibrium model for gravity-driven fingers. (English) Zbl 1488.65403 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 1488.65403) Full Text: DOI
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
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: 65N30 65N15 65M60 35J25 65M12 PDF BibTeX XML Cite \textit{H. Cao} et al., Comput. Math. Appl. 97, 394--415 (2021; Zbl 07384074) Full Text: DOI
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
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
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: 65N30 65N15 74S05 76M10 76S05 PDF BibTeX XML Cite \textit{F. Bertrand} and \textit{G. Starke}, Comput. Math. Appl. 91, 3--16 (2021; Zbl 07351743) Full Text: DOI arXiv
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 1506.76051 Comput. Methods Appl. Mech. Eng. 379, Article ID 113733, 21 p. (2021). MSC: 76F65 65M15 65M50 76M10 65M60 PDF BibTeX XML Cite \textit{X. Li} et al., Comput. Methods Appl. Mech. Eng. 379, Article ID 113733, 21 p. (2021; Zbl 1506.76051) Full Text: DOI
Irisarri, Diego; Hauke, Guillermo A posteriori error estimation and adaptivity based on VMS for the incompressible Navier-Stokes equations. (English) Zbl 1506.76082 Comput. Methods Appl. Mech. Eng. 373, Article ID 113508, 22 p. (2021). MSC: 76M10 65N30 65N15 65N50 76D05 PDF BibTeX XML Cite \textit{D. Irisarri} and \textit{G. Hauke}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113508, 22 p. (2021; Zbl 1506.76082) Full Text: DOI
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: 26A33 65R20 65L20 65L10 34A08 PDF BibTeX XML Cite \textit{W. Mao} et al., Comput. Math. Appl. 90, 159--170 (2021; Zbl 07336208) Full Text: DOI
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
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
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
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
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: 65N30 65N15 65N50 35J25 35R60 PDF BibTeX XML Cite \textit{A. Bespalov} et al., Comput. Math. Appl. 81, 373--390 (2021; Zbl 07288719) Full Text: DOI arXiv
Chaudhry, Jehanzeb H.; Collins, J. B. A posteriori error estimation for the spectral deferred correction method. (English) Zbl 1484.65157 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 1484.65157) Full Text: DOI arXiv
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
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
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
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
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
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
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: 65N30 65N15 76M10 35J25 74S05 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
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
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
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
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
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
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
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
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
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
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: 65N15 65N30 65N50 35J25 35J05 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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