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math.NA2021★ 1 cited
Numerical approximation of statistical solutions of the incompressible Navier-Stokes Equations
Pratyuksh Bansal
Statistical solutions, which are time-parameterized probability measures on spaces of square-integrable functions, have been established as a suitable framework for global solution…
math.NA2020★ 2 cited
Space-time discontinuous Galerkin approximation of acoustic waves with point singularities
Pratyuksh Bansal, Andrea Moiola, Ilaria Perugia +1
We develop a convergence theory of space-time discretizations for the linear, 2nd-order wave equation in polygonal domains , possibly occupied by piecewise ho…