数学与系统科学研究院
计算数学所学术报告会
报告人： Prof. Markus Clemens
University of Federal Armed Forces Hamburg, Germany
报告题目：
Discrete Formulations and Numerical Algorithms for the Simulation of Quasistatic Electric and Magnetic Fields
报告摘要：
In a discrete electromagnetic field theory the electromagnetic fields are described with matrix equations, the so-called Maxwell Grid Equations (MGE). These equations result from the application of geometric discretization methods as e.g. the Finite Integration Technique (FIT), the Whitney-Finite Element method or the Micro-Cell-Method to Maxwell's equations. The grid-based calculation of electromagnetic fields requires efficient techniques for the solution of the large, sparse (non-)linear algebraic, differential-algebraic and ordinary differential systems of equations which result from the matrix formalism. Implicit field formulations and modern numerical solution algorithms are presented for static and quasi-static electric and magnetic fields. Extensions of these models as e.g. the inclusion of motion induced eddy currents, topological field-circuit-coupling and the algorithmic treatment of highly non-linear ferromagnetic material effects are addressed and also numerica! l solution methods for the systems of equations are presented. These methods include error controlled adaptive time integration methods with an optimal extrapolation method for the start value generation, linearization methods for the non-linear algebraic systems including ferromagnetic hysteresis models. Efficient iterative solution methods for large sparse linear systems of equations are modified preconditioned conjugate gradient methods and multigrid methods specifically tailored to the Maxwell-Grid Equations. Recent work concerns the development of iterative multiple right-hand side techniques to improve the simulation times for the repeated successive solution of linear algebraic systems within implicit time integration and non-linear iteration schemes.
报告时间： 2005年7月1日(周五) 上午9:30-10:30
报告地点：晨兴中心一层110报告厅
欢迎大家参加!