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math.NA2026
Numerical methods for diffusion coefficient recovery
Sahat Pandapotan Nainggolan, Julius Fergy Tiongson Rabago, Hirofumi Notsu
We revisit the inverse problem of reconstructing a spatially varying diffusion coefficient in stationary elliptic equations from boundary Cauchy data. From a theoretical perspectiv…
math.NA2021
A Shape Optimization Problem Constrained with the Stokes Equations to Address Maximization of Vortices
John Sebastian H. Simon, Hirofumi Notsu
We study an optimization problem that aims to determine the shape of an obstacle that is submerged in a fluid governed by the Stokes equations. The mentioned flow takes place in a…