209 citations · 348 across the 22 of their papers we have counts for
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math.NA2018★ 1 cited
Mathematics of Smoothed Particle Hydrodynamics: a Study via Nonlocal Stokes Equations
Qiang Du, Xiaochuan Tian
Smoothed Particle Hydrodynamics (SPH) is a popular numerical technique developed for simulating complex fluid flows. Among its key ingredients is the use of nonlocal integral relax…
math.AP2018★ 3 cited
compactness criteria with an application to variational convergence of some nonlocal energy functionals
Qiang Du, Tadele Mengesha, Xiaochuan Tian
Motivated by some variational problems from a nonlocal model of mechanics, this work presents a set of sufficient conditions that guarantee a compact inclusion in the function spac…