caa a22 4500 477060986 CHVBK 20180405111400.0 cr unu---uuuuu 170330e19960601xx s 000 0 eng 10.1007/BF01299396 doi (NATIONALLICENCE)springer-10.1007/BF01299396 Dimensional adaptivity in linear elasticity with hierarchical test-spaces for h- and p-refinement processes [Elektronische Daten] [E. Stein, S. Ohnimus] Modeling of elastic thin-walled beams, plates and shells as 1D- and 2D-boundary value problems due to kinematical hypotheses, for example, the normal hypothesis, is valid in undisturbed subdomains. Disturbances near supports and free edges, in the vicinity of concentrated loads and at thickness jumps cannot be described by 1D- and 2D-BVPs. In these disturbed subdomains dimensional adaptivity has to be verformed with respect to the 3D-theory. Dimensional adaptivity (d-adaptivity) coupled with a mixed h- or p-adaptivity becomes necessary in order to guarantee a reliable overall solution. The error analysis for a mixed h-(mesh refinement), p-(polynomial expansion) and d-(dimensional expansion) adaptive process is treated in detail. Errorestimators including the discretization and dimensional errors and additionally the model error are derived. A main emphasis is the description of the additional hierarchical test-spaces (h- and p-test-space) for effective and robust overall convergence. By these new combinations of error-estimation a quality jump of FEM is intended. Springer-Verlag London Limited, 1996 hp-Adaptive finite element method nationallicence Hierarchical dimensional and model adaptivity nationallicence Plates and shells nationallicence Stein E. Institute of Structural and Computational Mechanics (IBNM), University of Hannover, Appelstr. 9A, 30167, Hannover, Germany aut Ohnimus S. Institute of Structural and Computational Mechanics (IBNM), University of Hannover, Appelstr. 9A, 30167, Hannover, Germany aut Engineering with Computers Springer-Verlag 12/2(1996-06-01), 107-119 0177-0667 12:2<107 1996 12 366 https://doi.org/10.1007/BF01299396 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01299396 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Stein E. Institute of Structural and Computational Mechanics (IBNM), University of Hannover, Appelstr. 9A, 30167, Hannover, Germany aut NATIONALLICENCE 700 1- Ohnimus S. Institute of Structural and Computational Mechanics (IBNM), University of Hannover, Appelstr. 9A, 30167, Hannover, Germany aut NATIONALLICENCE 773 0- Engineering with Computers Springer-Verlag 12/2(1996-06-01), 107-119 0177-0667 12:2<107 1996 12 366 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer