
An efficient steadystate analysis of the eddy current problem using a parallelintime algorithm
This paper introduces a parallelintime algorithm for efficient steady...
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Towards a ParallelinTime Calculation of TimePeriodic Solutions with Unknown Period
This paper presents a novel parallelintime algorithm able to compute t...
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A NumericalAnalytical Method for Constructing Periodic Solutions of the Lorenz System
This article describes a method for constructing approximations to perio...
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Nonlinear modal analysis of nonconservative systems: Extension of the periodic motion concept
As the motions of nonconservative autonomous systems are typically not p...
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ParallelinTime Simulation of Power Converters Using Multirate PDEs
This paper presents an efficient numerical algorithm for the simulation ...
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Timeperiodic steadystate solution of fluidstructure interaction and cardiac flow problems through multigridreductionintime
In this paper, a timeperiodic MGRIT algorithm is proposed as a means to...
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Accelerated SteadyState Torque Computation for Induction Machines using ParallelInTime Algorithms
This paper focuses on efficient steadystate computations of induction m...
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Efficient ParallelinTime Solution of TimePeriodic Problems Using a MultiHarmonic Coarse Grid Correction
This paper presents a highlyparallelizable parallelintime algorithm for efficient solution of (nonlinear) timeperiodic problems. It is based on the timeperiodic extension of the Parareal method, known to accelerate sequential computations via parallelization on the fine grid. The proposed approach reduces complexity of the periodic Parareal solution by introducing a special simplified Newton algorithm, which allows an additional parallelization on the coarse grid. In particular, at each Newton iteration a multiharmonic correction is performed, which converts the blockcyclic periodic system in the time domain into a blockdiagonal system in the frequency domain, thereby allowing separate solution for each frequency component in parallel. Comparison of the introduced algorithm and several existing solution approaches is illustrated via their application to the eddy current problem for both linear and nonlinear models of a coaxial cable.
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