Chamoin, Ludovic; Legoll, Frédéric An introductory review on a posteriori error estimation in finite element computations. (English) Zbl 1528.65104 SIAM Rev. 65, No. 4, 963-1028 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65B05 65N12 65N50 65-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skoula, Z. D.; Borthwick, A. G. L.; Moutzouris, C. I. Godunov-type solution of the shallow water equations on adaptive unstructured triangular grids. (English) Zbl 1184.76754 Int. J. Comput. Fluid Dyn. 20, No. 9, 621-636 (2006). MSC: 76M12 76B15 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Ying; Zhou, Aihui Local averaging based a posteriori finite element error control for quasilinear elliptic problems with application to electrical potential computation. (English) Zbl 1121.65367 Comput. Methods Appl. Mech. Eng. 196, No. 1-3, 452-465 (2006). MSC: 65N30 78M10 × Cite Format Result Cite Review PDF Full Text: DOI
Bellenger, Emmanuel; Coorevits, Patrice New approach for automation of finite element analysis. (English) Zbl 1064.74160 J. Comput. Appl. Math. 168, No. 1-2, 65-75 (2004). MSC: 74S05 74B05 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Müller, Jens; Korvink, Jan G. Adaptive error control in multi-physical thin-structure MEMS FE-simulation. (English) Zbl 1115.74374 J. Comput. Phys. 196, No. 1, 145-172 (2004). MSC: 74S05 74K99 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, C. K.; Liu, Xin; Fan, S. C. On solving singular interface problems using the enriched partition-of-unity finite element methods. (English) Zbl 1064.65138 Eng. Comput. (Bradf.) 20, No. 7-8, 998-1022 (2003). MSC: 65N30 65N12 65Y20 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Gallimard, L.; Pelle, J. P. Adaptive analysis in elastoplasticity based on an enhanced error in constitutive relation. (English) Zbl 1007.74073 Eng. Comput. (Bradf.) 18, No. 7, 974-995 (2001). MSC: 74S05 74C05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Mackerle, Jaroslav Error estimates and adaptive finite element methods. A bibliography (1990–2000). (English) Zbl 0985.65140 Eng. Comput. (Bradf.) 18, No. 5-6, 802-914 (2001). MSC: 65N30 74S05 65N15 65-00 74-00 65M60 65M15 78M10 × Cite Format Result Cite Review PDF Full Text: DOI
Huerta, Antonio; Díez, Pedro Error estimation including pollution assessment for nonlinear finite element analysis. (English) Zbl 0964.74067 Comput. Methods Appl. Mech. Eng. 181, No. 1-3, 21-41 (2000). MSC: 74S05 74C10 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Coorevits, P.; Dumeau, J.-P.; Pelle, J.-P. Control of analyses with isoparamteric elements in both 2D and 3D. (English) Zbl 0958.74061 Int. J. Numer. Methods Eng. 46, No. 2, 157-176 (1999). MSC: 74S05 74B99 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, H.; Prudhomme, S. A posteriori error estimation of steady-state finite element solutions of the Navier-Stokes equations by a subdomain residual method. (English) Zbl 0953.76049 Comput. Methods Appl. Mech. Eng. 159, No. 1-2, 19-48 (1998). MSC: 76M10 76D05 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Srinivasan, S.; Biggers, S. B. jun.; Latour, R. A. jun. Identifying global/local interface boundaries using an objective search method. (English) Zbl 0874.73076 Int. J. Numer. Methods Eng. 39, No. 5, 805-828 (1996). Reviewer: P.K.Mahanti (Ranchi) MSC: 74S30 74S05 74K20 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, H. A subdomain residual method for a posteriori error estimates of finite element solutions of viscoelastic fluid flows. (English) Zbl 0867.76041 Comput. Methods Appl. Mech. Eng. 130, No. 1-2, 93-113 (1996). MSC: 76M10 76A10 × Cite Format Result Cite Review PDF Full Text: DOI
Grunewald, Fritz; Huntebrinker, Wolfgang A numerical study of eigenvalues of the hyperbolic Laplacian for polyhedra with one cusp. (English) Zbl 0870.65092 Exp. Math. 5, No. 1, 57-80 (1996). Reviewer: P.Burda (Praha) MSC: 65N25 35P20 65N30 × Cite Format Result Cite Review PDF Full Text: DOI Euclid EuDML EMIS
Apel, Thomas; Milde, Frank Comparison of several mesh refinement strategies near edges. (English) Zbl 0865.65086 Commun. Numer. Methods Eng. 12, No. 7, 373-381 (1996). Reviewer: M.Jung (Chemnitz) MSC: 65N50 65N30 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Paulino, Glaucio H.; Gray, L. J.; Zarikian, Vrej Hypersingular residuals - a new approach for error estimation in the boundary element method. (English) Zbl 0883.73082 Int. J. Numer. Methods Eng. 39, No. 12, 2005-2029 (1996). MSC: 74S15 65N15 65N38 × Cite Format Result Cite Review PDF Full Text: DOI
Coorevits, P.; Ladeveze, P.; Pelle, J.-P. An automatic procedure with a control of accuracy for finite element analysis in 2D elasticity. (English) Zbl 0851.73056 Comput. Methods Appl. Mech. Eng. 121, No. 1-4, 91-120 (1995). MSC: 74S05 74B10 × Cite Format Result Cite Review PDF Full Text: DOI
Babuška, Ivo; Lee, I.; Schwab, Christoph On the a posteriori estimation of the modeling error for the heat conduction in a plate and its use for adaptive hierarchical modeling. (English) Zbl 0809.65095 Appl. Numer. Math. 14, No. 1-3, 5-21 (1994). Reviewer: R.Anguelov (Welkom) MSC: 65M15 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Samuelsson, A.; Wiberg, N.-E.; Zeng, L. F. The effectivity of the Zienkiewicz-Zhu error estimate and two 2D adaptive mesh generators. (English) Zbl 0779.73068 Commun. Numer. Methods Eng. 9, No. 8, 687-699 (1993). MSC: 74S05 65N50 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Strouboulis, T.; Haque, K. A. Recent experiences with error estimation and adaptivity. II: Error estimation for \(h\)-adaptive approximations on grids of triangles and quadrilaterals. (English) Zbl 0782.65127 Comput. Methods Appl. Mech. Eng. 100, No. 3, 359-430 (1992). Reviewer: J.Vaníček (Praha) MSC: 65N15 74S05 65N30 35J05 × Cite Format Result Cite Review PDF Full Text: DOI