caa a22 4500 477061028 CHVBK 20180405111400.0 cr unu---uuuuu 170330e19960601xx s 000 0 eng 10.1007/BF01299394 doi (NATIONALLICENCE)springer-10.1007/BF01299394 Adaptive mesh refinement using piecewise-linear shape functions based on the blending function method [Elektronische Daten] [Uwe Schramm, Peter Möller, Andreas Tischer, Christoph Reißmann] Use of quadrilateral elements for finite element mesh refinement can lead either to so-called ‘irregular' meshes or the necessity of adjustments between finer and coarser parts of the mesh necessary. In the case of ‘irregular' meshes, constraints have to be introduced in order to maintain continuity of the displacements. Introduction of finite elements based on blending function interpolation shape functions using piecewise boundary interpolation avoids these problems. This paper introduces an adaptive refinement procedure for these types of elements. The refinement is anh-method. Error estimation is performed using the Zienkiewicz-Zhu method. The refinement is controlled by a switching function representation. The method is applied to the plane stress problem. Numerical examples are given to show the efficiency of the methodology. Springer-Verlag London Limited, 1996 Adaptive mesh refinement nationallicence Finite element method nationallicence Mesh generation nationallicence Schramm Uwe Department of Mechanical, Aerospace, and Nuclear Engineering, University of Virginia, 22903, Charlottesville, VA, USA aut Möller Peter Institut für Mechanik, Universität Rostock, Rostock, Germany aut Tischer Andreas Institut für Mechanik, Universität Rostock, Rostock, Germany aut Reißmann Christoph Institut für Mechanik, Universität Rostock, Rostock, Germany aut Engineering with Computers Springer-Verlag 12/2(1996-06-01), 84-93 0177-0667 12:2<84 1996 12 366 https://doi.org/10.1007/BF01299394 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01299394 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Schramm Uwe Department of Mechanical, Aerospace, and Nuclear Engineering, University of Virginia, 22903, Charlottesville, VA, USA aut NATIONALLICENCE 700 1- Möller Peter Institut für Mechanik, Universität Rostock, Rostock, Germany aut NATIONALLICENCE 700 1- Tischer Andreas Institut für Mechanik, Universität Rostock, Rostock, Germany aut NATIONALLICENCE 700 1- Reißmann Christoph Institut für Mechanik, Universität Rostock, Rostock, Germany aut NATIONALLICENCE 773 0- Engineering with Computers Springer-Verlag 12/2(1996-06-01), 84-93 0177-0667 12:2<84 1996 12 366 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer