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math.NA2026
Numerical Analysis of a Coupled 3D-1D Transport Problem
Alyssa Taylor-LaPole, Uzochi Gideon, Beatrice Riviere +1
A finite element solution coupled with an interior penalty discontinuous Galerkin solution are defined for the approximation of the coupled 3D-1D solute transport problem. Under su…
math.NA2025
An efficient splitting iteration for a CDA-accelerated solver for incompressible flow problems
Victoria L. Fisher, Leo G. Rebholz, Duygu Vargun
We propose, analyze, and test an efficient splitting iteration for solving the incompressible, steady Navier-Stokes equations in the setting where partial solution data is known. T…
math.NA2025
Anderson acceleration of a Picard solver for the Oldroyd-B model of viscoelastic fluids
Duygu Vargun, Igor O. Monteiro, Leo G. Rebholz
We study an iterative nonlinear solver for the Oldroyd-B system describing incompressible viscoelastic fluid flow. We establish a range of attributes of the fixed-point-based solve…