activity
20222024
most citedA stabilized formulation for the solution of the incompressible unsteady Stokes equations in the frequency domain

10 citations · 22 across the 5 of their papers we have counts for

collaborators

5 papers

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★ 2 cited

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…

physics.flu-dyn2022★ 10 cited

A time-consistent stabilized finite element method for fluids with applications to hemodynamics

Dongjie Jia, Mahdi Esmaily

Several finite element methods for simulating incompressible flows rely on the streamline upwind Petrov-Galerkin stabilization (SUPG) term, which is weighted by tau_SUPG. The conve…

math.NA2022★ 10 cited

A stabilized formulation for the solution of the incompressible unsteady Stokes equations in the frequency domain

Mahdi Esmaily

A stabilized finite element method is introduced for the simulation of time-periodic creeping flows, such as those found in the cardiorespiratory systems. The new technique, which…