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math.NA2024
Introducing a Harmonic Balance Navier-Stokes Finite Element Solver to Accelerate Cardiovascular Simulations
Dongjie Jia, Mahdi Esmaily
The adoption of cardiovascular simulations for diagnosis and surgical planning on a patient-specific basis requires the development of faster methods than the existing state-of-the…
math.NA2023
A new stabilized time-spectral finite element solver for fast simulation of blood flow
Mahdi Esmaily, Dongjie Jia
The increasing application of cardiorespiratory simulations for diagnosis and surgical planning necessitates the development of computational methods significantly faster than the…
math.NA2023
Stabilized finite element methods for the time-spectral convection-diffusion equation
Mahdi Esmaily, Dongjie Jia
Discretizing a solution in the Fourier domain rather than the time domain presents a significant advantage in solving transport problems that vary smoothly and periodically in time…