
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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Efficient ParallelinTime Solution of TimePeriodic Problems Using a MultiHarmonic Coarse Grid Correction
This paper presents a highlyparallelizable parallelintime algorithm f...
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On temporal homogenization in the numerical simulation of atherosclerotic plaque growth
A temporal homogenization approach for the numerical simulation of ather...
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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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On the periodicity of cardiovascular fluid dynamics simulations
Threedimensional cardiovascular fluid dynamics simulations typically re...
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Mathematical modelling of an unstable bent flow using the selective frequency damping method
The selective frequency damping method was applied to a bent flow. The m...
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Partial Reuse AMG Setup Cost Amortization Strategy for the Solution of NonSteady State Problems
The partial reuse algebraic multigrid (AMG) setup cost amortization stra...
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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 reduce the timetosolution of numerical algorithms by exploiting the time periodicity inherent to many applications in science and engineering. The timeperiodic MGRIT algorithm is applied to a variety of linear and nonlinear single and multiphysics problems that are periodicintime. It is demonstrated that the proposed parallelintime algorithm can obtain the same timeperiodic steadystate solution as sequential timestepping. An intuitive convergence criterion is derived and it is shown that the new MGRIT variant can significantly and consistently reduce the timetosolution compared to sequential timestepping, irrespective of the number of dimensions, linear or nonlinear PDE models, singlephysics or coupled problems and the employed computing resources. The numerical experiments demonstrate that the timeperiodic MGRIT algorithm enables a greater level of parallelism yielding faster turnaround, and thus, facilitating more complex and more realistic problems to be solved.
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