Ahuja, K.; Endtmayer, B.; Steinbach, M. C.; Wick, T. Multigoal-oriented error estimation and mesh adaptivity for fluid-structure interaction. (English) Zbl 07531733 J. Comput. Appl. Math. 412, Article ID 114315, 18 p. (2022). MSC: 65N30 65N50 65N15 76D05 74F10 74K10 76M10 74S05 PDF BibTeX XML Cite \textit{K. Ahuja} et al., J. Comput. Appl. Math. 412, Article ID 114315, 18 p. (2022; Zbl 07531733) Full Text: DOI OpenURL
Abdulle, Assyr; de Souza, Giacomo Rosilho A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations. (English) Zbl 07517175 J. Comput. Phys. 451, Article ID 110894, 20 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDF BibTeX XML Cite \textit{A. Abdulle} and \textit{G. R. de Souza}, J. Comput. Phys. 451, Article ID 110894, 20 p. (2022; Zbl 07517175) Full Text: DOI OpenURL
Liu, Ying; Wang, Gang; Wu, Mengyao; Nie, Yufeng A recovery-based a posteriori error estimator of the weak Galerkin finite element method for elliptic problems. (English) Zbl 1483.65191 J. Comput. Appl. Math. 406, Article ID 113926, 18 p. (2022). MSC: 65N30 65N15 65N12 35J25 65N50 PDF BibTeX XML Cite \textit{Y. Liu} et al., J. Comput. Appl. Math. 406, Article ID 113926, 18 p. (2022; Zbl 1483.65191) Full Text: DOI OpenURL
Avijit, D.; Natesan, S. An efficient DWR-type a posteriori error bound of SDFEM for singularly perturbed convection-diffusion PDEs. (English) Zbl 07458299 J. Sci. Comput. 90, No. 2, Paper No. 73, 16 p. (2022). MSC: 65N30 65N12 65N15 65N22 65N50 35B25 76R50 PDF BibTeX XML Cite \textit{D. Avijit} and \textit{S. Natesan}, J. Sci. Comput. 90, No. 2, Paper No. 73, 16 p. (2022; Zbl 07458299) Full Text: DOI OpenURL
Zhou, Jianwei; Li, Huiyuan; Zhang, Zhimin A posteriori error estimates of spectral approximations for second order partial differential equations in spherical geometries. (English) Zbl 07454838 J. Sci. Comput. 90, No. 1, Paper No. 56, 30 p. (2022). MSC: 65N15 65N35 35B25 PDF BibTeX XML Cite \textit{J. Zhou} et al., J. Sci. Comput. 90, No. 1, Paper No. 56, 30 p. (2022; Zbl 07454838) Full Text: DOI OpenURL
Alekseev, A. K.; Bondarev, A. E. The estimation of approximation error using inverse problem and a set of numerical solutions. (English) Zbl 07484761 Inverse Probl. Sci. Eng. 29, No. 13, 3360-3376 (2021). MSC: 15A29 76M20 65M06 65M15 PDF BibTeX XML Cite \textit{A. K. Alekseev} and \textit{A. E. Bondarev}, Inverse Probl. Sci. Eng. 29, No. 13, 3360--3376 (2021; Zbl 07484761) Full Text: DOI arXiv OpenURL
Chorfi, Nejmeddine Time and space meshes adaptivity for the resolution of a semi-linear heat equation. (English) Zbl 07473124 Asymptotic Anal. 125, No. 3-4, 389-398 (2021). MSC: 35Qxx PDF BibTeX XML Cite \textit{N. Chorfi}, Asymptotic Anal. 125, No. 3--4, 389--398 (2021; Zbl 07473124) Full Text: DOI OpenURL
Wilfrid, Houédanou Koffi A posteriori error analysis for a Lagrange multiplier method for a Stokes/Biot fluid-poroelastic structure interaction model. (English) Zbl 1482.74158 Abstr. Appl. Anal. 2021, Article ID 8877012, 12 p. (2021). MSC: 74S05 74F10 76S05 PDF BibTeX XML Cite \textit{H. K. Wilfrid}, Abstr. Appl. Anal. 2021, Article ID 8877012, 12 p. (2021; Zbl 1482.74158) Full Text: DOI OpenURL
Badia, Santiago; Caicedo, Manuel A.; Martín, Alberto F.; Principe, Javier A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics. (English) Zbl 07427334 Comput. Methods Appl. Mech. Eng. 386, Article ID 114093, 23 p. (2021). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{S. Badia} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114093, 23 p. (2021; Zbl 07427334) Full Text: DOI arXiv OpenURL
Wang, Xuejing; Botshekan, Meshkat; Ulm, Franz-Josef; Tootkaboni, Mazdak; Louhghalam, Arghavan A hybrid potential of mean force approach for simulation of fracture in heterogeneous media. (English) Zbl 07427325 Comput. Methods Appl. Mech. Eng. 386, Article ID 114084, 21 p. (2021). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{X. Wang} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114084, 21 p. (2021; Zbl 07427325) Full Text: DOI OpenURL
Ahmed Blal, Khallih; Allam, Brahim; Mghazli, Zoubida A posteriori error estimates for a multi-scale finite-element method. (English) Zbl 1476.65288 Comput. Appl. Math. 40, No. 4, Paper No. 123, 25 p. (2021). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{K. Ahmed Blal} et al., Comput. Appl. Math. 40, No. 4, Paper No. 123, 25 p. (2021; Zbl 1476.65288) Full Text: DOI OpenURL
Hu, Xiaozhe; Wu, Kaiyi; Zikatanov, Ludmil T. A posteriori error estimates for multilevel methods for graph Laplacians. (English) Zbl 1481.65257 SIAM J. Sci. Comput. 43, No. 5, S727-S742 (2021). MSC: 65N55 65K10 65F10 05C50 PDF BibTeX XML Cite \textit{X. Hu} et al., SIAM J. Sci. Comput. 43, No. 5, S727--S742 (2021; Zbl 1481.65257) Full Text: DOI arXiv OpenURL
Milewski, Sławomir Higher order schemes introduced to the meshless FDM in elliptic problems. (English) Zbl 07390969 Eng. Anal. Bound. Elem. 131, 100-117 (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{S. Milewski}, Eng. Anal. Bound. Elem. 131, 100--117 (2021; Zbl 07390969) Full Text: DOI OpenURL
Lashkariani, Marziye Ramezani; Firoozjaee, Ali Rahmani An improved node moving technique for adaptive analysis using collocated discrete least squares meshless method. (English) Zbl 07371671 Eng. Anal. Bound. Elem. 130, 322-331 (2021). MSC: 76-XX 90-XX PDF BibTeX XML Cite \textit{M. R. Lashkariani} and \textit{A. R. Firoozjaee}, Eng. Anal. Bound. Elem. 130, 322--331 (2021; Zbl 07371671) Full Text: DOI OpenURL
Mulita, Ornela; Giani, Stefano; Heltai, Luca Quasi-optimal mesh sequence construction through smoothed adaptive finite element methods. (English) Zbl 1477.65263 SIAM J. Sci. Comput. 43, No. 3, A2211-A2241 (2021). MSC: 65N55 65N30 65N50 65N15 65N22 PDF BibTeX XML Cite \textit{O. Mulita} et al., SIAM J. Sci. Comput. 43, No. 3, A2211--A2241 (2021; Zbl 1477.65263) Full Text: DOI arXiv OpenURL
Xu, Fei; Huang, Qiumei An accurate a posteriori error estimator for the Steklov eigenvalue problem and its applications. (English) Zbl 1471.65190 Sci. China, Math. 64, No. 3, 623-638 (2021). MSC: 65N25 65N30 65N55 65N50 65N15 35J61 PDF BibTeX XML Cite \textit{F. Xu} and \textit{Q. Huang}, Sci. China, Math. 64, No. 3, 623--638 (2021; Zbl 1471.65190) Full Text: DOI OpenURL
Ray, Tanushree; Sinha, Rajen Kumar An adaptive finite element method for parabolic interface problems with nonzero flux jumps. (English) Zbl 07308005 Comput. Math. Appl. 82, 97-112 (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{T. Ray} and \textit{R. K. Sinha}, Comput. Math. Appl. 82, 97--112 (2021; Zbl 07308005) Full Text: DOI OpenURL
Abdelwahed, Mohamed; Chorfi, Nejmeddine A posteriori analysis of the spectral element discretization of a non linear heat equation. (English) Zbl 1452.65264 Adv. Nonlinear Anal. 10, 477-493 (2021). MSC: 65M70 65M06 65N35 65M15 35K05 35Q79 PDF BibTeX XML Cite \textit{M. Abdelwahed} and \textit{N. Chorfi}, Adv. Nonlinear Anal. 10, 477--493 (2021; Zbl 1452.65264) Full Text: DOI OpenURL
Fu, Lin; Hu, Xiangyu; Adams, Nikolaus A. Adaptive anisotropic unstructured mesh generation method based on fluid relaxation analogy. (English) Zbl 1474.65338 Commun. Comput. Phys. 27, No. 5, 1275-1308 (2020). MSC: 65M50 51F99 68U05 34C40 65M60 65E05 PDF BibTeX XML Cite \textit{L. Fu} et al., Commun. Comput. Phys. 27, No. 5, 1275--1308 (2020; Zbl 1474.65338) Full Text: DOI OpenURL
Shen, Ruigang; Shu, Shi; Yang, Ying; Fang, Mingjuan Gradient recovery-type a posteriori error estimates for steady-state Poisson-Nernst-Planck equations. (English) Zbl 07409079 Adv. Appl. Math. Mech. 12, No. 6, 1353-1383 (2020). MSC: 65N30 65N15 82M10 78A30 35Q82 PDF BibTeX XML Cite \textit{R. Shen} et al., Adv. Appl. Math. Mech. 12, No. 6, 1353--1383 (2020; Zbl 07409079) Full Text: DOI OpenURL
Xu, Fei; Huang, Qiumei; Chen, Shuangshuang; Ma, Hongkun A type of cascadic adaptive finite element method for eigenvalue problem. (English) Zbl 07409053 Adv. Appl. Math. Mech. 12, No. 3, 774-796 (2020). MSC: 65N25 65N30 65N55 65N50 35J25 PDF BibTeX XML Cite \textit{F. Xu} et al., Adv. Appl. Math. Mech. 12, No. 3, 774--796 (2020; Zbl 07409053) Full Text: DOI OpenURL
Osorio, Mauricio; Imbachí, Wilmar A discontinuous Galerkin recovery scheme with stabilization for diffusion problems. (English) Zbl 1471.65201 Calcolo 57, No. 4, Paper No. 33, 26 p. (2020). MSC: 65N30 65N15 35A01 35A02 PDF BibTeX XML Cite \textit{M. Osorio} and \textit{W. Imbachí}, Calcolo 57, No. 4, Paper No. 33, 26 p. (2020; Zbl 1471.65201) Full Text: DOI OpenURL
Zhang, Junqi; Natarajan, Sundararajan; Ooi, Ean Tat; Song, Chongmin Adaptive analysis using scaled boundary finite element method in 3D. (English) Zbl 07337870 Comput. Methods Appl. Mech. Eng. 372, Article ID 113374, 27 p. (2020). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{J. Zhang} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113374, 27 p. (2020; Zbl 07337870) Full Text: DOI OpenURL
Wilfrid, Houédanou Koffi; Jamal, Adetola; Mohamed, Allaoui A posteriori error analysis for a new fully mixed isotropic discretization of the stationary Stokes-Darcy coupled problem. (English) Zbl 1474.76042 Abstr. Appl. Anal. 2020, Article ID 8628739, 12 p. (2020). MSC: 76M10 65N30 65N12 65N15 76D07 76S05 PDF BibTeX XML Cite \textit{H. K. Wilfrid} et al., Abstr. Appl. Anal. 2020, Article ID 8628739, 12 p. (2020; Zbl 1474.76042) Full Text: DOI OpenURL
Gao, Wenwu; Zhang, Xia; Zhou, Xuan Multiquadric quasi-interpolation for integral functionals. (English) Zbl 07318103 Math. Comput. Simul. 177, 316-328 (2020). MSC: 65Dxx 41Axx PDF BibTeX XML Cite \textit{W. Gao} et al., Math. Comput. Simul. 177, 316--328 (2020; Zbl 07318103) Full Text: DOI OpenURL
Repin, S. I. Estimates of the deviation from exact solutions of boundary value problems in measures stronger than the energy norm. (English. Russian original) Zbl 1450.35017 Comput. Math. Math. Phys. 60, No. 5, 749-765 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 767-783 (2020). MSC: 35A35 65M15 35J25 PDF BibTeX XML Cite \textit{S. I. Repin}, Comput. Math. Math. Phys. 60, No. 5, 749--765 (2020; Zbl 1450.35017); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 767--783 (2020) Full Text: DOI OpenURL
Adetola, Jamal; Houedanou, Koffi Wilfrid; Ahounou, Bernardin Residual-based a posteriori error estimates for a conforming mixed finite element discretization of the Monge-Ampère equation. (English) Zbl 1463.74104 Aust. J. Math. Anal. Appl. 17, No. 2, Article No. 8, 12 p. (2020). MSC: 74S05 74S10 74S15 74S20 74S25 PDF BibTeX XML Cite \textit{J. Adetola} et al., Aust. J. Math. Anal. Appl. 17, No. 2, Article No. 8, 12 p. (2020; Zbl 1463.74104) Full Text: arXiv Link OpenURL
Fischer, Andreas; Eidel, Bernhard Error analysis for quadtree-type mesh coarsening algorithms adapted to pixelized heterogeneous microstructures. (English) Zbl 1464.74173 Comput. Mech. 65, No. 6, 1467-1491 (2020). MSC: 74S05 74Q05 74E05 PDF BibTeX XML Cite \textit{A. Fischer} and \textit{B. Eidel}, Comput. Mech. 65, No. 6, 1467--1491 (2020; Zbl 1464.74173) Full Text: DOI arXiv OpenURL
Parish, Eric J.; Carlberg, Kevin T. Time-series machine-learning error models for approximate solutions to parameterized dynamical systems. (English) Zbl 1442.65446 Comput. Methods Appl. Mech. Eng. 365, Article ID 112990, 43 p. (2020). MSC: 65P99 70-08 62M10 62H30 PDF BibTeX XML Cite \textit{E. J. Parish} and \textit{K. T. Carlberg}, Comput. Methods Appl. Mech. Eng. 365, Article ID 112990, 43 p. (2020; Zbl 1442.65446) Full Text: DOI arXiv OpenURL
Rabizadeh, Ehsan; Bagherzadeh, Amir Saboor; Anitescu, Cosmin; Alajlan, Naif; Rabczuk, Timon Pointwise dual weighted residual based goal-oriented a posteriori error estimation and adaptive mesh refinement in 2D/3D thermo-mechanical multifield problems. (English) Zbl 1441.74009 Comput. Methods Appl. Mech. Eng. 359, Article ID 112666, 43 p. (2020). MSC: 74A15 65Z05 PDF BibTeX XML Cite \textit{E. Rabizadeh} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112666, 43 p. (2020; Zbl 1441.74009) Full Text: DOI OpenURL
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 OpenURL
Sun, Haohan; Schillinger, Dominik; Yuan, Si Implicit a posteriori error estimation in cut finite elements. (English) Zbl 1465.74168 Comput. Mech. 65, No. 4, 967-988 (2020). MSC: 74S05 65M60 65N30 PDF BibTeX XML Cite \textit{H. Sun} et al., Comput. Mech. 65, No. 4, 967--988 (2020; Zbl 1465.74168) Full Text: DOI OpenURL
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 arXiv OpenURL
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 arXiv OpenURL
Huang, Pengzhan; Zhang, Qiuyu A recovery-based a posteriori error estimator for the generalized Stokes problem. (English) Zbl 07177870 Appl. Math., Praha 65, No. 1, 23-41 (2020). MSC: 65N30 65N50 PDF BibTeX XML Cite \textit{P. Huang} and \textit{Q. Zhang}, Appl. Math., Praha 65, No. 1, 23--41 (2020; Zbl 07177870) Full Text: DOI OpenURL
Endtmayer, B.; Langer, U.; Wick, T. Two-side a posteriori error estimates for the dual-weighted residual method. (English) Zbl 1440.65200 SIAM J. Sci. Comput. 42, No. 1, A371-A394 (2020). MSC: 65N30 65M60 65J15 49M15 76D05 35Q30 PDF BibTeX XML Cite \textit{B. Endtmayer} et al., SIAM J. Sci. Comput. 42, No. 1, A371--A394 (2020; Zbl 1440.65200) Full Text: DOI arXiv OpenURL
Jing, Feifei; Han, Weimin; Zhang, Yongchao; Yan, Wenjing Analysis of an a posteriori error estimator for a variational inequality governed by the Stokes equations. (English) Zbl 1440.65212 J. Comput. Appl. Math. 372, Article ID 112721, 16 p. (2020). MSC: 65N30 76M10 76D07 65N15 PDF BibTeX XML Cite \textit{F. Jing} et al., J. Comput. Appl. Math. 372, Article ID 112721, 16 p. (2020; Zbl 1440.65212) Full Text: DOI OpenURL
Xu, Fei; Huang, Qiumei Cascadic adaptive finite element method for nonlinear eigenvalue problem based on complementary approach. (English) Zbl 1434.65283 J. Comput. Appl. Math. 372, Article ID 112720, 18 p. (2020). MSC: 65N30 35J61 65B99 65N25 65N55 65N15 PDF BibTeX XML Cite \textit{F. Xu} and \textit{Q. Huang}, J. Comput. Appl. Math. 372, Article ID 112720, 18 p. (2020; Zbl 1434.65283) Full Text: DOI OpenURL
Xu, Fei; Huang, Qiumei Local and parallel multigrid method for nonlinear eigenvalue problems. (English) Zbl 1439.35155 J. Sci. Comput. 82, No. 1, Paper No. 20, 23 p. (2020). MSC: 35J25 35P30 65N30 PDF BibTeX XML Cite \textit{F. Xu} and \textit{Q. Huang}, J. Sci. Comput. 82, No. 1, Paper No. 20, 23 p. (2020; Zbl 1439.35155) Full Text: DOI OpenURL
Yuan, Si; Dong, Yiyi; Xing, Qinyan; Fang, Nan Adaptive finite element method of lines with local mesh refinement in maximum norm based on element energy projection method. (English) Zbl 1476.65313 Int. J. Comput. Methods 17, No. 4, Article ID 1950008, 18 p. (2020). MSC: 65N30 65N50 PDF BibTeX XML Cite \textit{S. Yuan} et al., Int. J. Comput. Methods 17, No. 4, Article ID 1950008, 18 p. (2020; Zbl 1476.65313) Full Text: DOI OpenURL
Li, Hengguang; Mu, Lin; Ye, Xiu A posteriori error estimates for the weak Galerkin finite element methods on polytopal meshes. (English) Zbl 1473.65268 Commun. Comput. Phys. 26, No. 2, 558-578 (2019). MSC: 65N15 65N30 35J50 PDF BibTeX XML Cite \textit{H. Li} et al., Commun. Comput. Phys. 26, No. 2, 558--578 (2019; Zbl 1473.65268) Full Text: DOI OpenURL
Wilfrid, Houédanou Koffi An a posteriori error analysis for a coupled continuum pipe-flow/Darcy model in karst aquifers: anisotropic and isotropic discretizations. (English) Zbl 1456.76075 Results Appl. Math. 4, Article ID 100081, 17 p. (2019). MSC: 76M10 76S05 65N15 86A05 PDF BibTeX XML Cite \textit{H. K. Wilfrid}, Results Appl. Math. 4, Article ID 100081, 17 p. (2019; Zbl 1456.76075) Full Text: DOI OpenURL
Milewski, Sławomir; Putanowicz, Roman Higher order meshless schemes applied to the finite element method in elliptic problems. (English) Zbl 1442.65389 Comput. Math. Appl. 77, No. 3, 779-802 (2019). MSC: 65N30 PDF BibTeX XML Cite \textit{S. Milewski} and \textit{R. Putanowicz}, Comput. Math. Appl. 77, No. 3, 779--802 (2019; Zbl 1442.65389) Full Text: DOI OpenURL
Ju, Xiaozhe; Mahnken, Rolf Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity. (English) Zbl 1441.74249 Comput. Methods Appl. Mech. Eng. 351, 297-329 (2019). MSC: 74S05 65M60 65M15 65M50 74C05 PDF BibTeX XML Cite \textit{X. Ju} and \textit{R. Mahnken}, Comput. Methods Appl. Mech. Eng. 351, 297--329 (2019; Zbl 1441.74249) Full Text: DOI OpenURL
Jia, Yue; Anitescu, Cosmin; Zhang, Yongjie Jessica; Rabczuk, Timon An adaptive isogeometric analysis collocation method with a recovery-based error estimator. (English) Zbl 1440.65248 Comput. Methods Appl. Mech. Eng. 345, 52-74 (2019). MSC: 65N35 65D07 PDF BibTeX XML Cite \textit{Y. Jia} et al., Comput. Methods Appl. Mech. Eng. 345, 52--74 (2019; Zbl 1440.65248) Full Text: DOI OpenURL
Ghesmati, Arezou; Bangerth, Wolfgang; Turcksin, Bruno Residual-based a posteriori error estimation for \(hp\)-adaptive finite element methods for the Stokes equations. (English) Zbl 1435.65201 J. Numer. Math. 27, No. 4, 237-252 (2019). MSC: 65N30 65N15 76D07 65N50 PDF BibTeX XML Cite \textit{A. Ghesmati} et al., J. Numer. Math. 27, No. 4, 237--252 (2019; Zbl 1435.65201) Full Text: DOI arXiv OpenURL
Xu, Fei; Huang, Qiumei An accurate a posteriori error estimator for semilinear Neumann problem and its applications. (English) Zbl 1433.65317 Appl. Math. Comput. 362, Article ID 124540, 19 p. (2019). MSC: 65N30 35J61 35J25 65N15 65N50 65N12 65N55 PDF BibTeX XML Cite \textit{F. Xu} and \textit{Q. Huang}, Appl. Math. Comput. 362, Article ID 124540, 19 p. (2019; Zbl 1433.65317) Full Text: DOI OpenURL
Bergam, A.; Chakib, A.; Nachaoui, A.; Nachaoui, M. Adaptive mesh techniques based on a posteriori error estimates for an inverse Cauchy problem. (English) Zbl 1429.65270 Appl. Math. Comput. 346, 865-878 (2019). MSC: 65N20 49M25 65N21 35R30 35J05 PDF BibTeX XML Cite \textit{A. Bergam} et al., Appl. Math. Comput. 346, 865--878 (2019; Zbl 1429.65270) Full Text: DOI OpenURL
Huo, S. H.; Li, Y. S.; Duan, S. Y.; Han, X.; Liu, G. R. Novel quadtree algorithm for adaptive analysis based on cell-based smoothed finite element method. (English) Zbl 1464.74180 Eng. Anal. Bound. Elem. 106, 541-554 (2019). MSC: 74S05 65N30 65N50 PDF BibTeX XML Cite \textit{S. H. Huo} et al., Eng. Anal. Bound. Elem. 106, 541--554 (2019; Zbl 1464.74180) Full Text: DOI OpenURL
Han, Weimin; Sofonea, Mircea Numerical analysis of hemivariational inequalities in contact mechanics. (English) Zbl 1433.65296 Acta Numerica 28, 175-286 (2019). MSC: 65N30 35Q74 74F15 74S05 65M60 65M06 65M12 65M15 35A01 35A02 74D10 PDF BibTeX XML Cite \textit{W. Han} and \textit{M. Sofonea}, Acta Numerica 28, 175--286 (2019; Zbl 1433.65296) Full Text: DOI OpenURL
Wang, Ruishu; Zhang, Ran; Wang, Xiuli; Jia, Jiwei Polynomial preserving recovery for a class of weak Galerkin finite element methods. (English) Zbl 1418.65186 J. Comput. Appl. Math. 362, 528-539 (2019). MSC: 65N30 65N15 65N12 35J50 35B45 PDF BibTeX XML Cite \textit{R. Wang} et al., J. Comput. Appl. Math. 362, 528--539 (2019; Zbl 1418.65186) Full Text: DOI OpenURL
Prieto, Juan Luis; Carpio, Jaime A-SLEIPNNIR: a multiscale, anisotropic adaptive, particle level set framework for moving interfaces. Transport equation applications. (English) Zbl 1416.76124 J. Comput. Phys. 377, 89-116 (2019). MSC: 76M10 65M60 65M50 76T99 PDF BibTeX XML Cite \textit{J. L. Prieto} and \textit{J. Carpio}, J. Comput. Phys. 377, 89--116 (2019; Zbl 1416.76124) Full Text: DOI OpenURL
Beckers, Susanne; Behrens, Jörn; Wollner, Winnifried Duality based error estimation in the presence of discontinuities. (English) Zbl 1422.65369 Appl. Numer. Math. 144, 83-99 (2019). MSC: 65N30 65N15 65M20 65M70 65M06 35L05 PDF BibTeX XML Cite \textit{S. Beckers} et al., Appl. Numer. Math. 144, 83--99 (2019; Zbl 1422.65369) Full Text: DOI OpenURL
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 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
Sun, Juan; Zhou, Zhaojie; Liu, Huipo A posteriori error estimates of discontinuous streamline diffusion methods for transport equations. (English) Zbl 1475.65203 Commun. Comput. Phys. 24, No. 5, 1355-1374 (2018). MSC: 65N30 65N15 PDF BibTeX XML Cite \textit{J. Sun} et al., Commun. Comput. Phys. 24, No. 5, 1355--1374 (2018; Zbl 1475.65203) Full Text: DOI 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
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard A posteriori error estimators for stabilized finite element approximations of an optimal control problem. (English) Zbl 1440.49035 Comput. Methods Appl. Mech. Eng. 340, 147-177 (2018). MSC: 49M25 65N12 65N15 65N30 PDF BibTeX XML Cite \textit{A. Allendes} et al., Comput. Methods Appl. Mech. Eng. 340, 147--177 (2018; Zbl 1440.49035) Full Text: DOI arXiv OpenURL
Gu, Jiming; Yu, Tiantang; Lich, Le Van; Nguyen, Thanh-Tung; Bui, Tinh Quoc Adaptive multi-patch isogeometric analysis based on locally refined B-splines. (English) Zbl 1440.65205 Comput. Methods Appl. Mech. Eng. 339, 704-738 (2018). MSC: 65N30 65D07 PDF BibTeX XML Cite \textit{J. Gu} et al., Comput. Methods Appl. Mech. Eng. 339, 704--738 (2018; Zbl 1440.65205) Full Text: DOI OpenURL
Mattis, Steven A.; Wohlmuth, Barbara Goal-oriented adaptive surrogate construction for stochastic inversion. (English) Zbl 1441.65006 Comput. Methods Appl. Mech. Eng. 339, 36-60 (2018). MSC: 65C20 62F15 62K20 PDF BibTeX XML Cite \textit{S. A. Mattis} and \textit{B. Wohlmuth}, Comput. Methods Appl. Mech. Eng. 339, 36--60 (2018; Zbl 1441.65006) Full Text: DOI arXiv OpenURL
Duval, M.; Lozinski, A.; Passieux, J. C.; Salaün, M. Residual error based adaptive mesh refinement with the non-intrusive patch algorithm. (English) Zbl 1439.65159 Comput. Methods Appl. Mech. Eng. 329, 118-143 (2018). MSC: 65N30 65N50 PDF BibTeX XML Cite \textit{M. Duval} et al., Comput. Methods Appl. Mech. Eng. 329, 118--143 (2018; Zbl 1439.65159) Full Text: DOI Link OpenURL
Anitescu, Cosmin; Hossain, Md Naim; Rabczuk, Timon Recovery-based error estimation and adaptivity using high-order splines over hierarchical T-meshes. (English) Zbl 1439.65011 Comput. Methods Appl. Mech. Eng. 328, 638-662 (2018). MSC: 65D07 65N30 PDF BibTeX XML Cite \textit{C. Anitescu} et al., Comput. Methods Appl. Mech. Eng. 328, 638--662 (2018; Zbl 1439.65011) Full Text: DOI OpenURL
Aulisa, Eugenio; Ke, Guoyi; Lee, Shih-Yu An adaptive mesh refinement strategy for finite element solution of the elliptic problem. (English) Zbl 1419.65101 Comput. Math. Appl. 76, No. 2, 224-244 (2018). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{E. Aulisa} et al., Comput. Math. Appl. 76, No. 2, 224--244 (2018; Zbl 1419.65101) Full Text: DOI OpenURL
Holm, Bärbel; Matculevich, Svetlana Fully reliable error control for first-order evolutionary problems. (English) Zbl 1409.65071 Comput. Math. Appl. 75, No. 4, 1302-1329 (2018). MSC: 65M60 65M15 35K20 PDF BibTeX XML Cite \textit{B. Holm} and \textit{S. Matculevich}, Comput. Math. Appl. 75, No. 4, 1302--1329 (2018; Zbl 1409.65071) Full Text: DOI arXiv OpenURL
Yuan, Si; Wu, Yue; Xing, Qinyan Recursive super-convergence computation for multi-dimensional problems via one-dimensional element energy projection technique. (English) Zbl 1397.65122 AMM, Appl. Math. Mech., Engl. Ed. 39, No. 7, 1031-1044 (2018). MSC: 65L60 65L50 65L10 74S05 PDF BibTeX XML Cite \textit{S. Yuan} et al., AMM, Appl. Math. Mech., Engl. Ed. 39, No. 7, 1031--1044 (2018; Zbl 1397.65122) Full Text: DOI OpenURL
Zhang, Yue; Wei, Cheng; Zhao, Yang; Tan, Chunlin; Liu, Yongjian Adaptive ANCF method and its application in planar flexible cables. (English) Zbl 1391.74118 Acta Mech. Sin. 34, No. 1, 199-213 (2018). MSC: 74K05 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Acta Mech. Sin. 34, No. 1, 199--213 (2018; Zbl 1391.74118) Full Text: DOI OpenURL
Jacobs, Christian T.; Zauner, Markus; De Tullio, Nicola; Jammy, Satya P.; Lusher, David J.; Sandham, Neil D. An error indicator for finite difference methods using spectral techniques with application to aerofoil simulation. (English) Zbl 1390.76576 Comput. Fluids 168, 67-72 (2018). MSC: 76M20 65M06 65M15 74F10 76G25 PDF BibTeX XML Cite \textit{C. T. Jacobs} et al., Comput. Fluids 168, 67--72 (2018; Zbl 1390.76576) Full Text: DOI OpenURL
Bakhta, Athmane; Lombardi, Damiano An a posteriori error estimator based on shifts for positive Hermitian eigenvalue problems. (Estimateur a posteriori pour les problèmes aux valeurs propres hermitiens positifs, reposant sur des décalages.) (English. French summary) Zbl 1458.65042 C. R., Math., Acad. Sci. Paris 356, No. 6, 696-705 (2018). MSC: 65N25 65N15 PDF BibTeX XML Cite \textit{A. Bakhta} and \textit{D. Lombardi}, C. R., Math., Acad. Sci. Paris 356, No. 6, 696--705 (2018; Zbl 1458.65042) Full Text: DOI OpenURL
Chung, Eric T.; Park, Eun-Jae; Zhao, Lina Guaranteed a posteriori error estimates for a staggered discontinuous Galerkin method. (English) Zbl 1393.65028 J. Sci. Comput. 75, No. 2, 1079-1101 (2018). MSC: 65M60 65M15 35J15 PDF BibTeX XML Cite \textit{E. T. Chung} et al., J. Sci. Comput. 75, No. 2, 1079--1101 (2018; Zbl 1393.65028) Full Text: DOI OpenURL
Kim, Dongho; Park, Eun-Jae; Seo, Boyoon Space-time adaptive methods for the mixed formulation of a linear parabolic problem. (English) Zbl 1398.65140 J. Sci. Comput. 74, No. 3, 1725-1756 (2018). MSC: 65K10 65M12 65M60 PDF BibTeX XML Cite \textit{D. Kim} et al., J. Sci. Comput. 74, No. 3, 1725--1756 (2018; Zbl 1398.65140) Full Text: DOI OpenURL
Gao, Wenwu; Zhang, Ran Multiquadric trigonometric spline quasi-interpolation for numerical differentiation of noisy data: a stochastic perspective. (English) Zbl 1421.65007 Numer. Algorithms 77, No. 1, 243-259 (2018). Reviewer: Aurelian Bejancu (Safat) MSC: 65D25 41A05 41A15 41A25 62G08 62G20 65T40 PDF BibTeX XML Cite \textit{W. Gao} and \textit{R. Zhang}, Numer. Algorithms 77, No. 1, 243--259 (2018; Zbl 1421.65007) Full Text: DOI OpenURL
Liu, H.; Ramière, I.; Lebon, F. On the coupling of local multilevel mesh refinement and ZZ methods for unilateral frictional contact problems in elastostatics. (English) Zbl 1439.74219 Comput. Methods Appl. Mech. Eng. 323, 1-26 (2017). MSC: 74M10 74S05 65N30 65N50 PDF BibTeX XML Cite \textit{H. Liu} et al., Comput. Methods Appl. Mech. Eng. 323, 1--26 (2017; Zbl 1439.74219) Full Text: DOI HAL OpenURL
Hu, Zhen; Ao, Dan; Mahadevan, Sankaran Calibration experimental design considering field response and model uncertainty. (English) Zbl 1439.74319 Comput. Methods Appl. Mech. Eng. 318, 92-119 (2017). MSC: 74P99 62F15 62K05 PDF BibTeX XML Cite \textit{Z. Hu} et al., Comput. Methods Appl. Mech. Eng. 318, 92--119 (2017; Zbl 1439.74319) Full Text: DOI OpenURL
Kumar, Mukesh; Kvamsdal, Trond; Johannessen, Kjetil André Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis. (English) Zbl 1439.74437 Comput. Methods Appl. Mech. Eng. 316, 1086-1156 (2017). MSC: 74S05 65N30 65D07 65N15 65N50 PDF BibTeX XML Cite \textit{M. Kumar} et al., Comput. Methods Appl. Mech. Eng. 316, 1086--1156 (2017; Zbl 1439.74437) Full Text: DOI OpenURL
Guo, Mengwu; Zhong, Hongzhi Strict upper and lower bounds for quantities of interest in static response sensitivity analysis. (English) Zbl 1480.74079 Appl. Math. Modelling 49, 17-34 (2017). MSC: 74G15 65N30 PDF BibTeX XML Cite \textit{M. Guo} and \textit{H. Zhong}, Appl. Math. Modelling 49, 17--34 (2017; Zbl 1480.74079) Full Text: DOI arXiv OpenURL
Lai, Ming-Jun; Mersmann, Clayton An adaptive triangulation method for bivariate spline solutions of PDEs. (English) Zbl 1385.65059 Fasshauer, Gregory E. (ed.) et al., Approximation theory XV: San Antonio 2016. Selected papers based on the presentations at the international conference, San Antonio, TX, USA, May 22–25, 2016. Cham: Springer (ISBN 978-3-319-59911-3/hbk; 978-3-319-59912-0/ebook). Springer Proceedings in Mathematics & Statistics 201, 155-175 (2017). MSC: 65N30 65N50 35J05 PDF BibTeX XML Cite \textit{M.-J. Lai} and \textit{C. Mersmann}, Springer Proc. Math. Stat. 201, 155--175 (2017; Zbl 1385.65059) Full Text: DOI OpenURL
Xie, Hehu; Xie, Manting; Yin, Xiaobo; Yue, Meiling Computable error estimates for a nonsymmetric eigenvalue problem. (English) Zbl 1383.65137 East Asian J. Appl. Math. 7, No. 3, 583-602 (2017). MSC: 65N25 35P15 65N30 65L15 PDF BibTeX XML Cite \textit{H. Xie} et al., East Asian J. Appl. Math. 7, No. 3, 583--602 (2017; Zbl 1383.65137) Full Text: DOI OpenURL
Phillips, Tyrone S.; Derlaga, Joseph M.; Roy, Christopher J.; Borggaard, Jeff Error transport equation boundary conditions for the Euler and Navier-Stokes equations. (English) Zbl 1380.65212 J. Comput. Phys. 330, 46-64 (2017). MSC: 65M15 35Q35 PDF BibTeX XML Cite \textit{T. S. Phillips} et al., J. Comput. Phys. 330, 46--64 (2017; Zbl 1380.65212) Full Text: DOI OpenURL
Repin, Sergey One hundred years of the Galerkin method. (English) Zbl 1388.65001 Comput. Methods Appl. Math. 17, No. 3, 351-357 (2017). MSC: 65-03 01A60 65L60 65M60 65N30 00B25 65-06 PDF BibTeX XML Cite \textit{S. Repin}, Comput. Methods Appl. Math. 17, No. 3, 351--357 (2017; Zbl 1388.65001) Full Text: DOI OpenURL
Burstedde, Carsten; Holke, Johannes Coarse mesh partitioning for tree-based AMR. (English) Zbl 1377.65126 SIAM J. Sci. Comput. 39, No. 5, C364-C392 (2017). MSC: 65M50 65Y05 PDF BibTeX XML Cite \textit{C. Burstedde} and \textit{J. Holke}, SIAM J. Sci. Comput. 39, No. 5, C364--C392 (2017; Zbl 1377.65126) Full Text: DOI arXiv OpenURL
Carson, Hugh A.; Darmofal, David L.; Galbraith, Marshall C.; Allmaras, Steven R. Analysis of output-based error estimation for finite element methods. (English) Zbl 1367.65166 Appl. Numer. Math. 118, 182-202 (2017). MSC: 65N30 35J05 65N12 65N15 PDF BibTeX XML Cite \textit{H. A. Carson} et al., Appl. Numer. Math. 118, 182--202 (2017; Zbl 1367.65166) Full Text: DOI OpenURL
Baron, V.; Coudière, Y.; Sochala, P. Adaptive multistep time discretization and linearization based on a posteriori error estimates for the Richards equation. (English) Zbl 1381.76211 Appl. Numer. Math. 112, 104-125 (2017). MSC: 76M12 65M08 35Q35 76S05 PDF BibTeX XML Cite \textit{V. Baron} et al., Appl. Numer. Math. 112, 104--125 (2017; Zbl 1381.76211) Full Text: DOI OpenURL
Nicaise, Serge; Ahounou, Bernardin; Houedanou, Wilfrid Residual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes-Darcy coupled problem: isotropic discretization. (English) Zbl 1386.74140 Afr. Mat. 27, No. 3-4, 701-729 (2016). MSC: 74S05 74S10 74S15 74S20 74S25 74S30 PDF BibTeX XML Cite \textit{S. Nicaise} et al., Afr. Mat. 27, No. 3--4, 701--729 (2016; Zbl 1386.74140) Full Text: DOI OpenURL
Razi, Mani; Attar, Peter; Vedula, Prakash Numerical solution of multidimensional hyperbolic PDEs using defect correction on adaptive grids. (English) Zbl 1372.65243 J. Sci. Comput. 69, No. 2, 581-609 (2016). MSC: 65M06 35L70 65M15 35Q53 PDF BibTeX XML Cite \textit{M. Razi} et al., J. Sci. Comput. 69, No. 2, 581--609 (2016; Zbl 1372.65243) Full Text: DOI OpenURL
Chen, Chao; Creusé, Emmanuel; Nicaise, Serge; Tang, Zuqi Residual-based a posteriori estimators for the potential formulations of electrostatic and time-harmonic eddy current problems with voltage or current excitation. (English) Zbl 1352.78015 Int. J. Numer. Methods Eng. 107, No. 5, 377-394 (2016). MSC: 78M10 65N30 65N15 78A30 PDF BibTeX XML Cite \textit{C. Chen} et al., Int. J. Numer. Methods Eng. 107, No. 5, 377--394 (2016; Zbl 1352.78015) Full Text: DOI OpenURL
Boo, Seung-Hwan; Kim, Jin-Gyun; Lee, Phill-Seung Error estimation for the automated multi-level substructuring method. (English) Zbl 1352.74329 Int. J. Numer. Methods Eng. 106, No. 11, 927-950 (2016). MSC: 74S05 65N15 65N25 65N30 PDF BibTeX XML Cite \textit{S.-H. Boo} et al., Int. J. Numer. Methods Eng. 106, No. 11, 927--950 (2016; Zbl 1352.74329) Full Text: DOI OpenURL
Mesri, Y.; Khalloufi, M.; Hachem, E. On optimal simplicial 3D meshes for minimizing the Hessian-based errors. (English) Zbl 1348.65174 Appl. Numer. Math. 109, 235-249 (2016). MSC: 65N50 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{Y. Mesri} et al., Appl. Numer. Math. 109, 235--249 (2016; Zbl 1348.65174) Full Text: DOI OpenURL
Li, Feiyan; Bi, Hai A type of multigrid method based on the fixed-shift inverse iteration for the Steklov eigenvalue problem. (English) Zbl 1416.65425 Adv. Math. Phys. 2016, Article ID 4691759, 13 p. (2016). MSC: 65N25 65N30 65N55 35J25 PDF BibTeX XML Cite \textit{F. Li} and \textit{H. Bi}, Adv. Math. Phys. 2016, Article ID 4691759, 13 p. (2016; Zbl 1416.65425) Full Text: DOI OpenURL
Harbrecht, Helmut; Schneider, Reinhold A note on multilevel based error estimation. (English) Zbl 1342.65206 Comput. Methods Appl. Math. 16, No. 3, 447-458 (2016). MSC: 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{H. Harbrecht} and \textit{R. Schneider}, Comput. Methods Appl. Math. 16, No. 3, 447--458 (2016; Zbl 1342.65206) Full Text: DOI Link OpenURL
Bi, Hai; Li, Hao; Yang, Yidu An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem. (English) Zbl 1382.65372 Appl. Numer. Math. 105, 64-81 (2016). MSC: 65N25 65N15 65N30 PDF BibTeX XML Cite \textit{H. Bi} et al., Appl. Numer. Math. 105, 64--81 (2016; Zbl 1382.65372) Full Text: DOI arXiv OpenURL
Repin, Sergey; Samrowski, Tatiana; Sauter, Stefan Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. (English) Zbl 1337.35033 J. Numer. Math. 24, No. 1, 1-15 (2016). MSC: 35J15 35B27 65N15 PDF BibTeX XML Cite \textit{S. Repin} et al., J. Numer. Math. 24, No. 1, 1--15 (2016; Zbl 1337.35033) Full Text: DOI Link OpenURL
Irisarri, Diego; Hauke, Guillermo Variational multiscale a posteriori error estimation for 2\(^{nd}\) and 4\(^{th}\)-order ODEs. (English) Zbl 07479338 Int. J. Numer. Anal. Model. 12, No. 3, 430-454 (2015). MSC: 35R35 49J40 60G40 PDF BibTeX XML Cite \textit{D. Irisarri} and \textit{G. Hauke}, Int. J. Numer. Anal. Model. 12, No. 3, 430--454 (2015; Zbl 07479338) Full Text: Link OpenURL
Ebrahimnejad, M.; Fallah, N.; Khoei, A. R. Adaptive refinement in the meshless finite volume method for elasticity problems. (English) Zbl 1443.65292 Comput. Math. Appl. 69, No. 12, 1420-1443 (2015). MSC: 65N08 65N50 74B05 PDF BibTeX XML Cite \textit{M. Ebrahimnejad} et al., Comput. Math. Appl. 69, No. 12, 1420--1443 (2015; Zbl 1443.65292) Full Text: DOI OpenURL
Darrigrand, Vincent; Pardo, David; Muga, Ignacio Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation. (English) Zbl 1443.65322 Comput. Math. Appl. 69, No. 9, 964-979 (2015). MSC: 65N30 65N50 78A25 PDF BibTeX XML Cite \textit{V. Darrigrand} et al., Comput. Math. Appl. 69, No. 9, 964--979 (2015; Zbl 1443.65322) Full Text: DOI OpenURL
Gao, Wenwu; Wu, Zongmin Approximation orders and shape preserving properties of the multiquadric trigonometric B-spline quasi-interpolant. (English) Zbl 1443.41010 Comput. Math. Appl. 69, No. 7, 696-707 (2015). MSC: 41A25 41A15 41A30 65D07 PDF BibTeX XML Cite \textit{W. Gao} and \textit{Z. Wu}, Comput. Math. Appl. 69, No. 7, 696--707 (2015; Zbl 1443.41010) Full Text: DOI OpenURL
Razi, M.; Attar, P. J.; Vedula, P. Grid adaptation and non-iterative defect correction for improved accuracy of numerical solutions of PDEs. (English) Zbl 1410.65326 Appl. Math. Comput. 269, 473-487 (2015). MSC: 65M06 65M12 PDF BibTeX XML Cite \textit{M. Razi} et al., Appl. Math. Comput. 269, 473--487 (2015; Zbl 1410.65326) Full Text: DOI OpenURL
Nadal, E.; Díez, P.; Ródenas, J. J.; Tur, M.; Fuenmayor, F. J. A recovery-explicit error estimator in energy norm for linear elasticity. (English) Zbl 1423.74909 Comput. Methods Appl. Mech. Eng. 287, 172-190 (2015). MSC: 74S05 65N30 65N15 74B05 PDF BibTeX XML Cite \textit{E. Nadal} et al., Comput. Methods Appl. Mech. Eng. 287, 172--190 (2015; Zbl 1423.74909) Full Text: DOI Link OpenURL
Wang, Li; Zhong, Hongzhi A unified approach to strict upper and lower bounds of quantities in linear elasticity based on constitutive relation error estimation. (English) Zbl 1423.74112 Comput. Methods Appl. Mech. Eng. 286, 332-353 (2015). MSC: 74B05 74G45 74S05 PDF BibTeX XML Cite \textit{L. Wang} and \textit{H. Zhong}, Comput. Methods Appl. Mech. Eng. 286, 332--353 (2015; Zbl 1423.74112) Full Text: DOI OpenURL
Hauke, Guillermo; Irisarri, Diego Variational multiscale a posteriori error estimation for systems. Application to linear elasticity. (English) Zbl 1423.74888 Comput. Methods Appl. Mech. Eng. 285, 291-314 (2015). MSC: 74S05 65N30 65N12 74B05 PDF BibTeX XML Cite \textit{G. Hauke} and \textit{D. Irisarri}, Comput. Methods Appl. Mech. Eng. 285, 291--314 (2015; Zbl 1423.74888) Full Text: DOI OpenURL
Nikravesh Kazeroni, S.; Afshar, M. H. An adaptive node regeneration technique for the efficient solution of elasticity problems using MDLSM method. (English) Zbl 1403.74010 Eng. Anal. Bound. Elem. 50, 198-211 (2015). MSC: 74B05 65N30 65N50 74S05 PDF BibTeX XML Cite \textit{S. Nikravesh Kazeroni} and \textit{M. H. Afshar}, Eng. Anal. Bound. Elem. 50, 198--211 (2015; Zbl 1403.74010) Full Text: DOI OpenURL