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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Bader, Michael. Advanced Computing. Dordrecht : Springer, ©2013 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Michael Bader; Hans-Joachim Bungartz; Tobias Weinzierl |

ISBN: | 9783642387623 3642387624 |

OCLC Number: | 862049020 |

Notes: | 3.2 Discretization. |

Description: | 1 online resource (255 pages). |

Contents: | Preface; Advanced Computing; The Munich Centre of Advanced Computing; Articles in These Proceedings; Contents; A Review of the Finite Cell Method for Nonlinear Structural Analysis of Complex CAD and Image-Based Geometric Models; 1 Introduction; 2 A Brief Review of the Finite Cell Method; 2.1 The Fictitious Domain Concept; 2.2 Higher-Order Approximation of Solution Fields; 2.3 Adaptive Integration; 2.4 Imposition of Unfitted Boundary Conditions; 3 Basic Numerical Properties of the FCM; 3.1 Smooth Extension of Solution Fields; 3.2 Exponential Rates of Convergence. 4 Extension to Nonlinear Elasticity4.1 The Standard FCM Formulation; 4.2 A Modified Formulation Based on Deformation Resetting; 5 Extension to Transport Processes in Porous Media; 6 Application Oriented Examples: Structural Analysis of CAD and Image-Based Geometric Models; 6.1 Modal Analysis of a Ship Propeller; 6.2 Large Deformation Analysis of an Open-Cell Aluminium Foam; 7 Summary and Outlook; References; Immersed Boundary Methods for Fluid-Structure Interaction and Shape Optimization within an FEM-Based PDE Toolbox; 1 Introduction. 2 The Fluid-Structure Interaction Model and Optimization Methods3 Immersed Boundary Methods: A Short Overview; 4 The Sundance Toolbox in a Nutshell; 5 Cartesian Grids and Their Implementation in Sundance; 6 Nitsche's Method for Fluid Dynamics in Moving Geometries; 7 Implementation in Sundance; 8 Fluid-Structure Simulations Using Nitsche's Method; 9 Shape Optimization with the Immersed Boundary Approach; 10 Conclusion; References; Numerical Simulation of Transport in Porous Media: Some Problems from Micro to Macro Scale; 1 Introduction. 2 Description of Flow in Porous Media from Micro to Macro Scale3 Pore Scale Simulations of the Flow Through a Random Sphere Pack; 3.1 Grid Study; 3.2 Flow Through a Random Sphere Pack; 4 Parameter Identification of an Inhomogeneous Permeability Field; 5 High Order Finite Element Method for the Advection Diffusion Equation; 5.1 Truncation Error of the Bubnov-Galerkin Discretisation in the p-FEM; 5.2 Connection of the Stability and the Structure of the System Matrix; 6 Conclusions; References; Optimal Control of Partially Miscible Two-Phase Flow with Applications to Subsurface CO2 Sequestration. 1 Introduction2 State Equations, Variables and Control Objectives; 3 Adjoint Based Optimal Control Framework; 4 Numerical Methods for the State Equation; 5 Implementation Strategies in Trilinos/Sundance; 6 Discussion of Optimization Results; 7 Conclusions; References; A Newton-CG Method for Full-Waveform Inversion in a Coupled Solid-Fluid System; 1 Introduction; 2 The Seismic Inverse Problem; 2.1 Wave Propagation at a Solid-Fluid Interface; 2.2 Seismic Tomography as PDE-Constrained Optimization Problem; 2.3 Adjoint Equation; 3 Optimization Method; 3.1 Trust-Region Newton-CG. |

Series Title: | Lecture notes in computational science and engineering. |

### Abstract:

This proceedings volume collects review articles that summarize research conducted at the Munich Centre of Advanced Computing (MAC) from 2008 to 2012. The articles address the increasing gap between what should be possible in Computational Science and Engineering due to recent advances in algorithms, hardware, and networks, and what can actually be achieved in practice; they also examineÂ novel computing architectures, where computation itself is a multifaceted process, with hardware awareness or ubiquitous parallelism due to many-core systems being just two of the challenges faced. Topics cov.

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