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
Bateniparvar, O.; Noormohammadi, N.; Boroomand, B. Singular functions for heterogeneous composites with cracks and notches; the use of equilibrated singular basis functions. (English) Zbl 1443.74163 Comput. Math. Appl. 79, No. 5, 1461-1482 (2020). MSC: 74E30 PDF BibTeX XML Cite \textit{O. Bateniparvar} et al., Comput. Math. Appl. 79, No. 5, 1461--1482 (2020; Zbl 1443.74163) 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
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
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
Rahimi, N.; Kerfriden, P.; Langbein, F. C.; Martin, R. R. CAD model simplification error estimation for electrostatics problems. (English) Zbl 1387.35128 SIAM J. Sci. Comput. 40, No. 1, B196-B227 (2018). MSC: 35J05 78A30 78M10 PDF BibTeX XML Cite \textit{N. Rahimi} et al., SIAM J. Sci. Comput. 40, No. 1, B196--B227 (2018; Zbl 1387.35128) Full Text: DOI arXiv 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
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
Javani, H. R.; Peerlings, R. H. J.; Geers, M. G. D. Consistent remeshing and transfer for a three dimensional enriched mixed formulation of plasticity and non-local damage. (English) Zbl 1398.74344 Comput. Mech. 53, No. 4, 625-639 (2014). MSC: 74S05 74R20 74C15 65N30 68U05 PDF BibTeX XML Cite \textit{H. R. Javani} et al., Comput. Mech. 53, No. 4, 625--639 (2014; Zbl 1398.74344) Full Text: DOI OpenURL
de Saxcé, Géry; Buliga, Marius; Vallée, Claude Blurred constitutive laws and bipotential convex covers. (English) Zbl 1269.74008 Math. Mech. Solids 16, No. 2, 161-171 (2011). MSC: 74A20 PDF BibTeX XML Cite \textit{G. de Saxcé} et al., Math. Mech. Solids 16, No. 2, 161--171 (2011; Zbl 1269.74008) Full Text: DOI arXiv OpenURL
Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Tran, C. Adaptive analysis using the node-based smoothed finite element method (NS-FEM). (English) Zbl 1370.74144 Int. J. Numer. Methods Biomed. Eng. 27, No. 2, 198-218 (2011). MSC: 74S05 65N30 65N50 PDF BibTeX XML Cite \textit{T. Nguyen-Thoi} et al., Int. J. Numer. Methods Biomed. Eng. 27, No. 2, 198--218 (2011; Zbl 1370.74144) Full Text: DOI OpenURL
Barros, Felício B.; de Barcellos, Clovis S.; Duarte, Carlos A. p-adaptive \(\text C^{k}\) generalized finite element method for arbitrary polygonal clouds. (English) Zbl 1162.74455 Comput. Mech. 41, No. 1, 175-187 (2007). MSC: 74S05 74B05 74K20 PDF BibTeX XML Cite \textit{F. B. Barros} et al., Comput. Mech. 41, No. 1, 175--187 (2007; Zbl 1162.74455) Full Text: DOI OpenURL
Hauke, Guillermo; Doweidar, Mohamed H.; Miana, Mario The multiscale approach to error estimation and adaptivity. (English) Zbl 1122.76057 Comput. Methods Appl. Mech. Eng. 195, No. 13-16, 1573-1593 (2006). MSC: 76M10 76R99 PDF BibTeX XML Cite \textit{G. Hauke} et al., Comput. Methods Appl. Mech. Eng. 195, No. 13--16, 1573--1593 (2006; Zbl 1122.76057) Full Text: DOI OpenURL
Lorong, Ph.; Yvonnet, J.; Coffignal, G.; Cohen, S. Contribution of computational mechanics in numerical simulation of machining and blancking: state-of-the-art. (English) Zbl 1099.74073 Arch. Comput. Methods Eng. 13, No. 1, 45-90 (2006). MSC: 74S99 74-02 PDF BibTeX XML Cite \textit{Ph. Lorong} et al., Arch. Comput. Methods Eng. 13, No. 1, 45--90 (2006; Zbl 1099.74073) Full Text: DOI OpenURL
Zienkiewicz, Olgierd C. The background of error estimation and adaptivity in finite element computations. (English) Zbl 1193.65192 Comput. Methods Appl. Mech. Eng. 195, No. 4-6, 207-213 (2006). MSC: 65N15 PDF BibTeX XML Cite \textit{O. C. Zienkiewicz}, Comput. Methods Appl. Mech. Eng. 195, No. 4--6, 207--213 (2006; Zbl 1193.65192) Full Text: DOI OpenURL
Cho, Maenghyo; Jun, Seongki \(r\)-adaptive mesh generation for shell finite element analysis. (English) Zbl 1127.74348 J. Comput. Phys. 199, No. 1, 291-316 (2004). MSC: 74S05 PDF BibTeX XML Cite \textit{M. Cho} and \textit{S. Jun}, J. Comput. Phys. 199, No. 1, 291--316 (2004; Zbl 1127.74348) Full Text: DOI OpenURL
Cao, Weiming; Huang, Weizhang; Russell, Robert D. An error indicator monitor function for an \(r\)-adaptive finite-element method. (English) Zbl 0986.65082 J. Comput. Phys. 170, No. 2, 871-892 (2001). MSC: 65M15 65M50 65M60 35K15 PDF BibTeX XML Cite \textit{W. Cao} et al., J. Comput. Phys. 170, No. 2, 871--892 (2001; Zbl 0986.65082) Full Text: DOI OpenURL
Li, Z. C.; Lu, T. T. Singularities and treatments of elliptic boundary value problems. (English) Zbl 1042.35524 Math. Comput. Modelling 31, No. 8-9, 97-145 (2000). MSC: 35J05 65N21 PDF BibTeX XML Cite \textit{Z. C. Li} and \textit{T. T. Lu}, Math. Comput. Modelling 31, No. 8--9, 97--145 (2000; Zbl 1042.35524) Full Text: DOI OpenURL
Zienkiewicz, O. C. Achievements and some unsolved problems of the finite element method. (English) Zbl 0962.76056 Int. J. Numer. Methods Eng. 47, No. 1-3, 9-28 (2000). MSC: 76M10 74S05 76-02 74-02 PDF BibTeX XML Cite \textit{O. C. Zienkiewicz}, Int. J. Numer. Methods Eng. 47, No. 1--3, 9--28 (2000; Zbl 0962.76056) Full Text: DOI OpenURL
Ladevèze, Pierre; Moës, Nicolas; Douchin, Bernard Constitutive relation error estimators for (visco)plastic finite element analysis with softening. (English) Zbl 0948.74062 Comput. Methods Appl. Mech. Eng. 176, No. 1-4, 247-264 (1999). MSC: 74S05 74C10 65N15 PDF BibTeX XML Cite \textit{P. Ladevèze} et al., Comput. Methods Appl. Mech. Eng. 176, No. 1--4, 247--264 (1999; Zbl 0948.74062) Full Text: DOI OpenURL
Combe, J. Ph.; Ladevèze, P.; Pelle, J. P. Constitutive relation error estimator for transient finite element analysis. (English) Zbl 0954.74059 Comput. Methods Appl. Mech. Eng. 176, No. 1-4, 165-185 (1999). MSC: 74S05 74A99 65M15 PDF BibTeX XML Cite \textit{J. Ph. Combe} et al., Comput. Methods Appl. Mech. Eng. 176, No. 1--4, 165--185 (1999; Zbl 0954.74059) Full Text: DOI OpenURL
Cao, Weiming; Huang, Weizhang; Russell, Robert D. An \(r\)-adaptive finite element method based upon moving mesh PDEs. (English) Zbl 0923.65062 J. Comput. Phys. 149, No. 2, 221-244 (1999). Reviewer: Gerald W.Hedstrom (Pleasanton) MSC: 65M60 65M50 PDF BibTeX XML Cite \textit{W. Cao} et al., J. Comput. Phys. 149, No. 2, 221--244 (1999; Zbl 0923.65062) Full Text: DOI OpenURL
Ladevèze, Pierre; Moës, Nicolas A new a posteriori error estimation for nonlinear time-dependent finite element analysis. (English) Zbl 0949.74067 Comput. Methods Appl. Mech. Eng. 157, No. 1-2, 45-68 (1998). MSC: 74S05 65N15 65N30 74K99 74C99 PDF BibTeX XML Cite \textit{P. Ladevèze} and \textit{N. Moës}, Comput. Methods Appl. Mech. Eng. 157, No. 1--2, 45--68 (1998; Zbl 0949.74067) Full Text: DOI OpenURL
Bennighof, Jeffrey K.; Subramaniam, Murugan Reduction of finite element subspace dimension based on estimated error. (English) Zbl 0918.73132 Comput. Methods Appl. Mech. Eng. 149, No. 1-4, 21-32 (1997). MSC: 74S05 74H45 PDF BibTeX XML Cite \textit{J. K. Bennighof} and \textit{M. Subramaniam}, Comput. Methods Appl. Mech. Eng. 149, No. 1--4, 21--32 (1997; Zbl 0918.73132) Full Text: DOI OpenURL
Bussy, Pascal; Mosbah, Youcef An error calculation method for finite element analysis in large displacements. (English) Zbl 0897.73061 Int. J. Numer. Methods Eng. 40, No. 20, 3703-3728 (1997). MSC: 74S05 74B99 74C99 74D99 65N15 PDF BibTeX XML Cite \textit{P. Bussy} and \textit{Y. Mosbah}, Int. J. Numer. Methods Eng. 40, No. 20, 3703--3728 (1997; Zbl 0897.73061) Full Text: DOI OpenURL
Wang, Song An a posteriori error estimate for finite element approximations of a singularly perturbed advection-diffusion problem. (English) Zbl 0889.65113 J. Comput. Appl. Math. 87, No. 2, 227-242 (1997). Reviewer: P.Chocholatý (Bratislava) MSC: 65N15 65N30 35B25 35J25 PDF BibTeX XML Cite \textit{S. Wang}, J. Comput. Appl. Math. 87, No. 2, 227--242 (1997; Zbl 0889.65113) Full Text: DOI OpenURL
Bigdeli, B.; Kelly, D. W. \(C^*\)-convergence in the finite element method. (English) Zbl 0891.73060 Int. J. Numer. Methods Eng. 40, No. 23, 4405-4425 (1997). MSC: 74S05 74B10 65N12 PDF BibTeX XML Cite \textit{B. Bigdeli} and \textit{D. W. Kelly}, Int. J. Numer. Methods Eng. 40, No. 23, 4405--4425 (1997; Zbl 0891.73060) Full Text: DOI OpenURL
Polynkine, A. A.; van Keulen, F.; Toropov, V. V. Optimization of geometrically nonlinear structures based on a multi-point approximation method and adaptivity. (English) Zbl 0983.74524 Eng. Comput. (Bradf.) 13, No. 2-4, 76-97 (1996). MSC: 74P10 65K10 PDF BibTeX XML Cite \textit{A. A. Polynkine} et al., Eng. Comput. (Bradf.) 13, No. 2--4, 76--97 (1996; Zbl 0983.74524) Full Text: DOI OpenURL
Chellamuthu, K. C.; Ida, Nathan ‘A posteriori’ error indicator and error estimators for adaptive mesh refinement. (English) Zbl 0844.65079 COMPEL 14, No. 2-3, 139-156 (1995). Reviewer: P.Y.Yalamov (Russe) MSC: 65N15 35J25 65N30 35Q60 78A30 PDF BibTeX XML Cite \textit{K. C. Chellamuthu} and \textit{N. Ida}, COMPEL 14, No. 2--3, 139--156 (1995; Zbl 0844.65079) Full Text: DOI OpenURL
Issa, Camille A.; Balasubramaniam, Krishnan; Srirengan, Kanthikannan Adaptive \(hp\)-finite element for transient analysis. (English) Zbl 0823.65106 Appl. Math. Comput. 65, No. 1-3, 315-333 (1994). Reviewer: S.L.Svensson (Lund) MSC: 65N30 65N15 65N50 35J25 PDF BibTeX XML Cite \textit{C. A. Issa} et al., Appl. Math. Comput. 65, No. 1--3, 315--333 (1994; Zbl 0823.65106) Full Text: DOI OpenURL
Storti, M.; Nigro, N.; Idelsohn, S. Adaptive refinement criterion for elliptic problems discretized by FEM. (English) Zbl 0796.65113 Commun. Numer. Methods Eng. 9, No. 9, 729-743 (1993). Reviewer: S.L.Svensson (Lund) MSC: 65N30 65N50 65N55 35J05 PDF BibTeX XML Cite \textit{M. Storti} et al., Commun. Numer. Methods Eng. 9, No. 9, 729--743 (1993; Zbl 0796.65113) Full Text: DOI OpenURL
Yagawa, G.; Yoshimura, S.; Soneda, N.; Nakao, K. Automatic two- and three-dimensional mesh generation based on fuzzy knowledge processing. (English) Zbl 0755.65117 Comput. Mech. 9, No. 5, 333-346 (1992). Reviewer: G.Dimitriu (Iaşi) MSC: 65N50 68T35 PDF BibTeX XML Cite \textit{G. Yagawa} et al., Comput. Mech. 9, No. 5, 333--346 (1992; Zbl 0755.65117) Full Text: DOI OpenURL
Adjedj, Geneviève; Aubry, Denis Development of a hierarchical and adaptive finite element software. (English) Zbl 0665.73057 Comput. Methods Appl. Mech. Eng. 75, No. 1-3, 153-165 (1989). MSC: 74S05 74-04 PDF BibTeX XML Cite \textit{G. Adjedj} and \textit{D. Aubry}, Comput. Methods Appl. Mech. Eng. 75, No. 1--3, 153--165 (1989; Zbl 0665.73057) Full Text: DOI OpenURL
Schreurs, P. J. G.; Veldpaus, F. E.; Brekelmans, W. A. M. Simulation of forming processes, using the arbitrary Eulerian-Lagrangian formulation. (English) Zbl 0595.73085 Comput. Methods Appl. Mech. Eng. 58, 19-36 (1986). MSC: 74S05 74C15 74C20 PDF BibTeX XML Cite \textit{P. J. G. Schreurs} et al., Comput. Methods Appl. Mech. Eng. 58, 19--36 (1986; Zbl 0595.73085) Full Text: DOI OpenURL
Babuška, Ivo; Rheinboldt, Werner C. Computational error estimates and adaptive processes for some nonlinear structural problems. (English) Zbl 0528.65047 Comput. Methods Appl. Mech. Eng. 34, 895-937 (1982). MSC: 65L60 65H10 65L10 74S05 65N30 65N15 PDF BibTeX XML Cite \textit{I. Babuška} and \textit{W. C. Rheinboldt}, Comput. Methods Appl. Mech. Eng. 34, 895--937 (1982; Zbl 0528.65047) Full Text: DOI OpenURL