On the new coupled complex boundary method in shape optimization framework for solving stationary free boundary problems
JFT Rabago - arXiv preprint arXiv:2205.12620, 2022 - arxiv.org
We expose here a novel application of the so-called coupled complex boundary method--
first put forward by Cheng et al.(2014) to deal with inverse source problems--in the …
first put forward by Cheng et al.(2014) to deal with inverse source problems--in the …
A second-order shape optimization algorithm for solving the exterior Bernoulli free boundary problem using a new boundary cost functional
JFT Rabago, H Azegami - Computational Optimization and Applications, 2020 - Springer
The exterior Bernoulli problem is rephrased into a shape optimization problem using a new
type of objective function called the Dirichlet-data-gap cost function which measures the L^ 2 …
type of objective function called the Dirichlet-data-gap cost function which measures the L^ 2 …
An improved shape optimization formulation of the Bernoulli problem by tracking the Neumann data
JFT Rabago, H Azegami - Journal of Engineering Mathematics, 2019 - Springer
We propose a new shape optimization formulation of the Bernoulli problem by tracking the
Neumann data. The associated state problem is an equivalent formulation of the Bernoulli …
Neumann data. The associated state problem is an equivalent formulation of the Bernoulli …
Shape optimization approach to defect-shape identification with convective boundary condition via partial boundary measurement
JF T Rabago, H Azegami - Japan Journal of Industrial and Applied …, 2019 - Springer
We aim to identify the geometry (ie, the shape and location) of a cavity inside an object
through the concept of thermal imaging. More precisely, we present an identification …
through the concept of thermal imaging. More precisely, we present an identification …
[HTML][HTML] A new energy-gap cost functional approach for the exterior Bernoulli free boundary problem
JFT Rabago, H Azegami - Evolution Equations and Control Theory, 2019 - aimsciences.org
The solution to a free boundary problem of Bernoulli type, also known as Alt-Caffarelli
problem, is studied via shape optimization techniques. In particular, a novel energy-gap cost …
problem, is studied via shape optimization techniques. In particular, a novel energy-gap cost …
Numerical solution to the exterior Bernoulli problem using the Dirichlet-Robin energy gap cost functional approach in two and three dimensions
JFT Rabago - Numerical Algorithms, 2023 - Springer
The exterior Bernoulli problem—a prototype stationary free boundary problem—is
rephrased into a shape optimization setting using an energy-gap type cost functional that is …
rephrased into a shape optimization setting using an energy-gap type cost functional that is …