Spatial mesh adaptation in semidiscrete finite element analysis of linear elastodynamic problems
Tóm tắt
Từ khóa
Tài liệu tham khảo
BabuskaI.; RheinboldtW. C. (1978): A posteriori error estimates for the finite element method. Int. J. Num. Meth. Eng., 12, 1597?1615
BabuskaI.; ZienkiewiczO. C.; GagoJ.; OliveiraE. R. de A. (1986, eds): Accuracy estimates and adaptive refinements in finite element computations. Wiley, New York
BajerC. I. (1989): Adaptive mesh in dynamic problems by the space-time approach. Comput. & Struct., 33 (2), 319?325
FribergO.; MöllerP.; MakovickaD.; WibergN.-E. (1987): An adaptive procedure for eingenvalue problems using the hierarchical finite element methods. Int. J. Num. Meth. Eng., 24, 319?335
HughesT. J. R. (1989): The finite element method. Linear static and dynamic finite element analysis. Prentice-Hall, Englewood Cliffs, New Jersey
JohnsonC. (1987): Numerical solutions of partial differential equations by the finite element method. Studentliteratur, Sweden
JooK.-J.; WilsonE. L. (1988): An adaptive finite element technique for structural dynamic analysis. Comput. & Struct., 30 (6), 1319?1339
KelleyD. W.; GagoJ. P. De S. R.; ZienkiewiczO. C.; BabuskaI. (1983): A posteriori error analysis and adaptive processes in the finite element method, part I: error analysis. Int. J. Num. Meth. Eng., 19, 1593?1619
LöhnerR. (1988): Some useful data structures for the generation of unstructured grids. Commun. Appl. Num. Meth., 4, 123?135
Oden, J. T. (1990, ed): Reliability in computational mechanics. (Proc. of the workshop on reliability in computational mechanics. Austin, Texas, Oct., 1989) Comput. Meth. Appl. Mech. Eng., 82, No. 1?3
PeraireJ.; VahdatiM.; MorganK.; ZienkiewiczO. C. (1987): Adaptive remeshing for compressible flow computations. J. Comp. Phys., 72, 449?466
RankE.; ZienkiewiczO. C. (1987): A simple error estimator in the finite element method. Commun. Appl. Num. Meth., 3, 243?249
StrangG.; FixG. J. (1973): An analysis of the finite element methods. Prentice-Hall, Englewood Cliffs, New Jersey
WangL. J. (1990): The finite element method for the linear hyperbolic equations on a variable mesh. Ch. Comput. Math. 12 (2), 119?128 (in Chinese)
WuJ.; ZhuJ. Z.; SzmelterJ.; ZienkiewiczO. C. (1990): Error estimation and adaptivity in Navier-Stockes incompressible flows. Comput. Mech., 6 (4), 259?270
ZengL. F.; WibergN.-E. (1990): Adaptive procedures of h-p version for high accuracy finite element analysis in 2D linear elastic problems. Publ. 90:1, Dept. of Structural Mechanics, Chalmers Univ. of Tech., Sweden. (to appear in Com. & Struct.)
ZengL. F.; WibergN.-E.; BernspångL. (1990): An adaptive finite element procedure for 2D dynamic transient analysis using direct integration. Publ. 90:8, Dept. of Structural Mechanics, Chalmers Univ. of Tech., Sweden. (to appear in Int. J. Num. Meth. Eng.)
Zeng, L. F. (1991): On adaptive finite element procedures for static and dynamic problems. Ph.D. thesis, Chalmer Univ. of Tech., Sweden
ZhuJ. Z.; ZienkiewiczO. C.; HintonE.; WuJ. (1991): A new approach to the development of automatic quadrilateral mesh generation. Int. J. Num. Meth. Eng., 32, 849?866
Zienkiewicz, O. C.; Li, X-K.; Nakazawa, S. (1985): Interactive solution of mixed problems and the stress recovery procedures. Commun. Appl. Num. Meths, 3?9
ZienkiewiczO. C.; ZhuJ. Z. (1987): A simple error estimator and adaptive procedure for practical engineering analysis. Int. J. Num. Meth. Eng., 24, 333?357
ZienkiewiczO. C.; LiuY. C.; HuangG. C. (1988): Error estimation and adaptivity in flow formulation for forming problems. Int. J. Num. Meth. Eng., 25, 23?42
ZienkiewiczO. C.; ZhuJ. Z. (1989): Error estimation and adaptive refinement for plate bending problems Int. J. Num. Meth. Eng., 28, 239?2853