90 citations · 92 across the 2 of their papers we have counts for
2 papers
math-ph2010★ 90 cited
Geometric, Variational Discretization of Continuum Theories
Evan S. Gawlik, Patrick Mullen, Dmitry Pavlov +2
This study derives geometric, variational discretizations of continuum theories arising in fluid dynamics, magnetohydrodynamics (MHD), and the dynamics of complex fluids. A central…
math.DS2009★ 2 cited
Structure-Preserving Discretization of Incompressible Fluids
Dmitry Pavlov, Patrick Mullen, Yiying Tong +3
The geometric nature of Euler fluids has been clearly identified and extensively studied over the years, culminating with Lagrangian and Hamiltonian descriptions of fluid dynamics…