1 |
Zienkiewicz, O.C. and Zhu, J.Z. (1992b), "The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique", Int. J. Numer. Meth. Eng., 33(7), 1331-1364. https://doi.org/10.1002/nme.1620330702.
DOI
|
2 |
Zienkiewicz, O.C. and Zhu, J.Z. (1992c), "The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity", Int. J. Numer. Meth. Eng., 33(7), 1365-1382. https://doi.org/10.1002/nme.1620330703.
DOI
|
3 |
Kim, S. and Lee, P.S. (2018), "A new enriched 4-node 2D solid finite element free from the linear dependence problem", Comput. Struct., 202, 25-43. https://doi.org/10.1016/j.compstruc.2018.03.001.
DOI
|
4 |
Kojic, M. and Bathe, K.J. (2005), Inelastic Analysis of Solids and Structures, Springer, Berlin.
|
5 |
Kunert, G. and Nicaise, S. (2003), "Zienkiewicz-Zhu error estimators on anisotropic tetrahedral and triangular finite element meshes", Math. Model. Numer. Anal., 37(6), 1013-1043. https://doi.org/10.1051/m2an:2003065.
DOI
|
6 |
Ozakca, M. (2003), "Comparison of error estimation methods and adaptivity for plane stress/strain problems", Struct. Eng. Mech., 15(5), 579-608. https://doi.org/10.12989/sem.2003.15.5.579.
DOI
|
7 |
Bank, R.E. (1986), "Analysis of a local a posteriori error estimate for elliptic equations, in Babuska", Accuracy Estimates and Adaptive Refinements in Finite Element Computations, 119, https://ci.nii.ac.jp/naid/10010425158.
|
8 |
Lee, C. and Kim, S. (2020), "Towards improving finite element solutions automatically with enriched 2D solid elements", Struct. Eng. Mech., 76(3), 379-393. https://doi.org/10.12989/sem.2020.76.3.379.
DOI
|
9 |
Lee, C., Kim, S. and Lee, P.S. (2021), "The strain-smoothed 4-node quadrilateral finite element", Comput. Meth. Appl. Mech. Eng., 373, 113481. https://doi.org/10.1016/j.cma.2020.113481.
DOI
|
10 |
Lee, C. and Lee, P.S. (2019), "The strain-smoothed MITC3+ shell finite element", Comput. Struct., 223, 106096. https://doi.org/10.1016/j.compstruc.2019.07.005.
DOI
|
11 |
Babuska, I. and Rheinboldt, W. (1979), "Analysis of optimal finite-element meshes in R1", Math. Comput., 33(146), 435-463. https://doi.org/10.1090/S0025-5718-1979-0521270-2.
DOI
|
12 |
Babuska, I. and Miller, A.D. (1987), "A feedback element method with a posteriori error estimation: Part I. The finite element method and some basic properties of the a posteriori error estimator", Comput. Meth. Appl. Mech. Eng., 61, 1-40. https://doi.org/10.1016/0045-7825(87)90114-9.
DOI
|
13 |
Rank, E. and Zienkiewicz, O. (1987), "A simple error estimator in the finite element method", Commun. Numer. Meth. Eng., 3(3), 243-249. https://doi.org/10.1002/cnm.1630030311.
DOI
|
14 |
Zienkiewicz, O.C. and Zhu, J.Z. (1987), "A simple error estimator and adaptive procedure for practical engineerng analysis", Int. J. Numer. Meth. Eng., 24(2), 337-357. https://doi.org/10.1002/cnm.1630030311.
DOI
|
15 |
Hinton, E. and Campbell, J.S. (1974), "Local and global smoothing of discontinuous finite element functions using a least squares method", Int. J. Numer. Meth. Eng., 8, 461-480. https://doi.org/10.1002/nme.1620080303.
DOI
|
16 |
Bank, R.E. and Weiser, A. (1985), "Some a posteriori error estimators for elliptic partial differential equations", Math. Comput., 44(170), 283-301. https://doi.org/10.2307/2007953.
DOI
|
17 |
Ainsworth, M., Zhu, J.Z., Craig, A.W. and Zienkiewicz, O.C. (1989), "Analysis of the Zienkiewicz-Zhu a-posteriori error estimator in the finite element method", Int. J. Numer. Meth. Eng., 28(9), 2161-2174. https://doi.org/10.1002/nme.1620280912.
DOI
|
18 |
Jun, H., Yoon, K., Lee, P.S. and Bathe, K.J. (2018), "The MITC3+ shell element enriched in membrane displacements by interpolation covers", Comput. Meth. Appl. Mech. Eng., 337, 458-480. https://doi.org/10.1016/j.cma.2018.04.007.
DOI
|
19 |
Lee, C. and Lee, P.S. (2018), "A new strain smoothing method for triangular and tetrahedral finite elements", Comput. Meth. Appl. Mech. Eng., 341, 939-955. https://doi.org/10.1016/j.cma.2018.07.022.
DOI
|
20 |
Oliver, J. and Fuenmayor, F. (1993), "Analysis of the effectivity of the Zienkiewicz-Zhu error estimator", WIT Trans. Built Environ., 2, 309-324.
|
21 |
Babuska, I. and Rheinboldt, W.C. (1978), "A-posteriori error estimates for the finite element method", Int. J. Numer. Meth. Eng., 12(10), 1597-1615. https://doi.org/10.1002/nme.1620121010.
DOI
|
22 |
Bathe, K.J. (2006), Finite Element Procedures, Klaus-Jurgen Bathe, Watertown, MA, USA.
|
23 |
Cook, R.D. (2007), Concepts and Applications of Finite Element Analysis, John Wiley & Sons, New York, NY, USA.
|
24 |
Kelly, D.W., De S. R. Gago, J.P., Zienkiewicz, O.C. and Babuska, I. (1983), "A posteriori error analysis and adaptive processes in the finite element method: Part I-error analysis", Int. J. Numer. Meth/ Eng., 19(11), 1593-1619. https://doi.org/10.1002/nme.1620191103.
DOI
|
25 |
Tang, X. and Sato, T. (2004), "A posteriori error estimate and hadaptive fe analysis of liquefaction with large deformation", Doboku Gakkai Ronbunshu, 2004(778), 1-15. https://doi.org/10.2208/jscej.2004.778_1
DOI
|
26 |
Mota, A. and Abel, J.F. (2000), "On mixed finite element formulations and stress recovery techniques", Int. J. Numer. Meth. Eng., 47(1-3), 191-204. https://doi.org/10.1002/(SICI)1097-0207(20000110/30)47:1/3<191::AID-NME767>3.0.CO;2-S.
DOI
|
27 |
Zienkiewicz, O.C. and Zhu, J.Z. (1992a), "The superconvergent patch recovery (SPR) and adaptive finite element refinement", Comput. Meth. Appl. Mech. Eng., 101(1-3), 207-224. https://doi.org/10.1016/0045-7825(92)90023-D.
DOI
|
28 |
Jung, J., Jun, H. and Lee, P.S. (2021), "Self-updated four-node finite element using deep learning", Comput. Mech., 69(1), 23-44. https://doi.org/10.1007/s00466-021-02081-7.
DOI
|
29 |
Jung, J., Yoon, K. and Lee, P.S. (2020), "Deep learned finite elements", Comput. Meth. Appl. Mech. Eng., 372, 113401. https://doi.org/10.1016/j.cma.2020.113401.
DOI
|