3 papers
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.NA2026
Shape optimization for piecewise parameter identification in inverse diffusion problems with a single boundary measurement
Manabu Machida, Hirofumi Notsu, Julius Fergy Tiongson Rabago
This paper proposes a unified shape and coefficient optimization approach for inverse problems governed by diffusion equations. The associated forward problem is considered with a…
math.NA2025
Mathematical and numerical study of symmetry and positivity of the tensor-valued spring constant defined from P1-FEM for two- and three-dimensional linear elasticity
Oussama Ounissi, Masato Kimura, Hirofumi Notsu
In this study, we consider a spring-block system that approximates a -dimensional linear elastic body, where or . We derive a matrix as the spring constan…