IEEE Transactions on Magnetics · 2001 · 22 citations · 3 references
Numerical AnalysisEngineeringComputational MechanicsNumerical ComputationEddy Current ProblemsNumerical SimulationMagnetohydrodynamicsSystems EngineeringComputational ElectromagneticsBoundary Element MethodImplicit Runge-kutta MethodMethod Of Fundamental SolutionSemi-implicit MethodComputer EngineeringNumerical Method For Partial Differential EquationFinite Element MethodAerospace EngineeringFixed StepMagnetic Field ProblemsNumerical Treatment
An adaptive-step time integration method is presented for solving 3D magnetic field and eddy current problems. It is based on an implicit Runge-Kutta method that is a well-known approach for the problems of differential-algebraic equations. The method has been applied to both linear and nonlinear cases and its advantages over the conventional B-method with fixed step are demonstrated.
3
A unified set of single step algorithms. Part 1: General formulation and applications
O. C. Zienkiewicz, W. L. Wood, Natalie Hine et al. · International Journal for Numerical Methods in Engineering · 1984 · 260 citations
Numerical Analysis, Mathematical Programming, Large-scale Global Optimization +20