Taoum, Samer; Lefrançois, Emmanuel Dual analysis for heat exchange: application to thermal bridges. (English) Zbl 1419.65124 Comput. Math. Appl. 75, No. 10, 3471-3487 (2018). MSC: 65N30 80M10 80A20 35Q79 PDF BibTeX XML Cite \textit{S. Taoum} and \textit{E. Lefrançois}, Comput. Math. Appl. 75, No. 10, 3471--3487 (2018; Zbl 1419.65124) Full Text: DOI OpenURL
Beckers, Pierre; Beckers, Benoit A 66 line heat transfer finite element code to highlight the dual approach. (English) Zbl 1443.65192 Comput. Math. Appl. 70, No. 10, 2401-2413 (2015). MSC: 65M60 65M22 80M10 PDF BibTeX XML Cite \textit{P. Beckers} and \textit{B. Beckers}, Comput. Math. Appl. 70, No. 10, 2401--2413 (2015; Zbl 1443.65192) Full Text: DOI OpenURL
Wang, Li; Zhong, Hongzhi Stable linear traction-based equilibrium elements for elastostatics: direct access to linear statically admissible stresses and quadratic kinematically admissible displacements for dual analysis. (English) Zbl 1352.74445 Int. J. Numer. Methods Eng. 101, No. 12, 887-932 (2015). MSC: 74S05 65N30 74B05 PDF BibTeX XML Cite \textit{L. Wang} and \textit{H. Zhong}, Int. J. Numer. Methods Eng. 101, No. 12, 887--932 (2015; Zbl 1352.74445) Full Text: DOI OpenURL
Wang, Li; Zhong, Hongzhi A traction-based equilibrium finite element free from spurious kinematic modes for linear elasticity problems. (English) Zbl 1352.74042 Int. J. Numer. Methods Eng. 99, No. 10, 763-788 (2014). MSC: 74B05 74S05 65N30 PDF BibTeX XML Cite \textit{L. Wang} and \textit{H. Zhong}, Int. J. Numer. Methods Eng. 99, No. 10, 763--788 (2014; Zbl 1352.74042) Full Text: DOI OpenURL
Nguyen-Xuan, H.; Liu, G. R.; Bordas, S.; Natarajan, S.; Rabczuk, T. An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order. (English) Zbl 1297.74126 Comput. Methods Appl. Mech. Eng. 253, 252-273 (2013). MSC: 74S05 65N30 74A45 PDF BibTeX XML Cite \textit{H. Nguyen-Xuan} et al., Comput. Methods Appl. Mech. Eng. 253, 252--273 (2013; Zbl 1297.74126) Full Text: DOI OpenURL
Ivannikov, V.; Tiago, C.; Moitinho de Almeida, J. P.; Díez, P. Meshless methods in dual analysis: theoretical and implementation issues. (English) Zbl 1287.74007 Eng. Anal. Bound. Elem. 37, No. 12, 1728-1744 (2013). MSC: 74B05 65N35 PDF BibTeX XML Cite \textit{V. Ivannikov} et al., Eng. Anal. Bound. Elem. 37, No. 12, 1728--1744 (2013; Zbl 1287.74007) Full Text: DOI Link OpenURL
Parrinello, F. Restraining approach for the spurious kinematic modes in hybrid equilibrium element. (English) Zbl 1311.74127 Comput. Mech. 52, No. 4, 885-901 (2013). MSC: 74S05 74B05 PDF BibTeX XML Cite \textit{F. Parrinello}, Comput. Mech. 52, No. 4, 885--901 (2013; Zbl 1311.74127) 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
Santos, H. A. F. A.; Pimenta, P. M.; Almeida, J. P. M. A hybrid-mixed finite element formulation for the geometrically exact analysis of three-dimensional framed structures. (English) Zbl 1384.74045 Comput. Mech. 48, No. 5, 591-613 (2011). MSC: 74S05 74K10 PDF BibTeX XML Cite \textit{H. A. F. A. Santos} et al., Comput. Mech. 48, No. 5, 591--613 (2011; Zbl 1384.74045) Full Text: DOI OpenURL
Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Thoi, T. A variationally consistent \(\alpha\)FEM (VC\(\alpha\)FEM) for solution bounds and nearly exact solution to solid mechanics problems using quadrilateral elements. (English) Zbl 1217.74126 Int. J. Numer. Methods Eng. 85, No. 4, 461-497 (2011). MSC: 74S05 74K99 PDF BibTeX XML Cite \textit{G. R. Liu} et al., Int. J. Numer. Methods Eng. 85, No. 4, 461--497 (2011; Zbl 1217.74126) Full Text: DOI 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
Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Thoi, T. A theoretical study on the smoothed FEM (S-FEM) models: properties, accuracy and convergence rates. (English) Zbl 1202.74180 Int. J. Numer. Methods Eng. 84, No. 10, 1222-1256 (2010). MSC: 74S05 65N30 65N12 PDF BibTeX XML Cite \textit{G. R. Liu} et al., Int. J. Numer. Methods Eng. 84, No. 10, 1222--1256 (2010; Zbl 1202.74180) Full Text: DOI OpenURL
Kempeneers, Martin; Debongnie, Jean-François; Beckers, Pierre Pure equilibrium tetrahedral finite elements for global error estimation by dual analysis. (English) Zbl 1183.74284 Int. J. Numer. Methods Eng. 81, No. 4, 513-536 (2010). MSC: 74S05 PDF BibTeX XML Cite \textit{M. Kempeneers} et al., Int. J. Numer. Methods Eng. 81, No. 4, 513--536 (2010; Zbl 1183.74284) Full Text: DOI OpenURL
Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H. Additional properties of the node-based smoothed finite element method (NS-FEM) for solid mechanics problems. (English) Zbl 1267.74115 Int. J. Comput. Methods 6, No. 4 (2009). MSC: 74S05 PDF BibTeX XML Full Text: DOI OpenURL
Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Thoi, T.; Xu, X. A novel Galerkin-like weakform and a superconvergent alpha finite element method (S\(\alpha \)FEM) for mechanics problems using triangular meshes. (English) Zbl 1273.74542 J. Comput. Phys. 228, No. 11, 4055-4087 (2009). MSC: 74S05 74G15 PDF BibTeX XML Cite \textit{G. R. Liu} et al., J. Comput. Phys. 228, No. 11, 4055--4087 (2009; Zbl 1273.74542) Full Text: DOI OpenURL
Beckers, Pierre Extension of dual analysis to 3-D problems: Evaluation of its advantages in error estimation. (English) Zbl 1162.74456 Comput. Mech. 41, No. 3, 421-427 (2008). MSC: 74S05 PDF BibTeX XML Cite \textit{P. Beckers}, Comput. Mech. 41, No. 3, 421--427 (2008; Zbl 1162.74456) Full Text: DOI OpenURL
Bouillard, Ph.; Almeida, J. P. M.; Decouvreur, V.; Mertens, T. Some challenges in computational vibro-acoustics: verification, validation and medium frequencies. (English) Zbl 1184.74075 Comput. Mech. 42, No. 2, 317-326 (2008). Reviewer: Yuri N. Sankin (Ul’yanovsk) MSC: 74S30 74S05 74J10 74H45 PDF BibTeX XML Cite \textit{Ph. Bouillard} et al., Comput. Mech. 42, No. 2, 317--326 (2008; Zbl 1184.74075) Full Text: DOI OpenURL
Duflot, Marc; Hung Nguyen-Dang Dual analysis by a meshless method. (English) Zbl 1073.74641 Commun. Numer. Methods Eng. 18, No. 9, 621-631 (2002). MSC: 74S30 74B05 PDF BibTeX XML Cite \textit{M. Duflot} and \textit{Hung Nguyen-Dang}, Commun. Numer. Methods Eng. 18, No. 9, 621--631 (2002; Zbl 1073.74641) 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
Mackerle, Jaroslav Finite element linear and nonlinear, static and dynamic analysis of structural elements: A bibliography (1992-1995). (English) Zbl 0983.74500 Eng. Comput. (Bradf.) 14, No. 4, 347-440 (1997). MSC: 74-00 74S05 74K99 PDF BibTeX XML Cite \textit{J. Mackerle}, Eng. Comput. (Bradf.) 14, No. 4, 347--440 (1997; Zbl 0983.74500) Full Text: DOI OpenURL