Development and implementation of adaptive mesh refinement methods for numerical simulations of metal forming and machining [Elektronische Ressource] / von Xin Gu

Development and implementation of adaptive meshrefinement methods for numerical simulationsof metal forming and machiningVon der Fakultat¨ Maschinenbauder Technischen Universitat¨ Dortmundzur Erlangung des Grades einesDoktor-Ingenieurs(Dr.-Ing.)genehmigte DissertationvonXin GuDortmund 2008ContentsSummary iii1 Recovery based error estimation and adaptivity 11.1 Introduction . . . . . . .............................. 11.2 Superconvergent patch recovery methods . ................... 41.3 Recovery method based on local extrapolation . . . . . . ............ 61.4 Error estimation . . . . .............................. 11.5 Numerical tests . . . . .............................. 11.6 A posteriori error estimation . . . . ....................... 301.7 Optimization of mesh size map . . . ....................... 311.8 Adaptivity and numerical examples ....................... 31.9 Conclusions . . . . . . .............................. 462 Automatic mesh refinement and coarsening 472.1 Introduction . . . . . . .............................. 472.2 Unstructured mesh generation . . . ....................... 482.3 Hierarchical mesh . . . . ....................... 512.4 Examples ..................................... 533 Optimization based mesh smoothing for planar meshes 573.1 Introduction . . . . . . .............................. 573.2 Mesh quality measures and objective function . . . . . . ............ 593.3 Modified objective functions . . . . .............