## Challenges in Scientific Computing - CISC 2002: Proceedings of the Conference Challenges in Scientific Computing, Berlin, October 2-5, 2002This book is a collection of conference proceedings mainly concerned with the problem class of nonlinear transport/diffusion/reaction systems, chief amongst these being the Navier-Stokes equations, porous-media flow problems and semiconductor-device equations. Of particular interest are unsolved problems which challenge open questions from applications and assess the various numerous methods used to treat them. A fundamental aim is to raise the overall awareness of a broad range of topical issues in scientific computing and numerical analysis, including multispecies/multiphysics problems, discretisation methods for nonlinear systems, mesh generation, adaptivity, linear algebraic solvers and preconditioners, and portable parallelisation. nbsp; |

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### Contents

Higher Order Discontinuous Galerkin Methods for Flow and Transport in Porous Media | 1 |

Macroscopic Models of Fluids with Microstructure | 23 |

The Fictitious Boundary Method for the Implicit Treatment of Dirichlet Boundary Conditions with Applications to Incompressible Flow Simulations | 37 |

Numerical Simulation of Three Dimensional Free Surface Flows with Bubbles | 69 |

A Computational Comparison of Two FEM Solvers for Nonlinear Incompressible Flow | 87 |

Algebraic Multigrid for Industrial Semiconductor Device Simulation | 110 |

Simulation of Microwave and Semiconductor Laser Structures Including Absorbing Boundary Conditions | 131 |

Finite Element Methods for Coupled Problems in Ferrohydrodynamics | 160 |

Iterative Substructuring Methods for Advection Diffusion Problems in Heterogeneous Media | 184 |

Efficient Preconditioning of Linear Systems Arising from the Discretization of Radiative Transfer Equation | 211 |

On Using Common Lisp for Scientific Computing | 237 |

The Discontinuous Galerkin Finite Element Method for Singularly Perturbed Problems | 246 |

BlackBox Preconditioning for Mixed Formulation of SelfAdjoint Elliptic PDEs | 268 |

Author Index | 287 |

### Other editions - View all

Challenges in Scientific Computing - CISC 2002: Proceedings of the ... Eberhard Baensch Limited preview - 2012 |

Challenges in Scientific Computing - CISC 2002: Proceedings of the ... Eberhard Baensch No preview available - 2012 |

### Common terms and phrases

advection algebraic multigrid algorithm analysis applied approach approximation bilinear boundary conditions bubbles cells coefficients Common Lisp components computational configurations consider corresponding cylinder defined denote density DGFEM diagonal discrete domain edges efficiency eigenvalue problem elliptic error example ferrofluid filtering FinFET finite element method Fixpoint fluid formulation free surface function Galerkin method geometrical given grid Grid2 implementation interface interpolation iterative method L2-norm layer linear algebraic linear system liquid crystals magnetic field Mathematics matrix mesh modes multigrid method multigrid solvers Navier-Stokes equations Newton nonlinear norm number of iterations numerical results obtained operator parameter partial differential equations PDEs piecewise preconditioned preconditioner pressure propagation constants properties Qi/Qo radiative transfer region robust scheme Schur complement semiconductor SIAM simulation Softcover solution solve space stabilization step Stokes element structure Table techniques Theorem tions Turek unknowns variables vector velocity viscosity