Learning physics-based models from data: perspectives from inverse problems and model reduction
This article addresses the inference of physics models from data, from the perspectives of
inverse problems and model reduction. These fields develop formulations that integrate data …
inverse problems and model reduction. These fields develop formulations that integrate data …
Investigation of transport-reaction dynamics and local/global entropy production in topology optimization of two-species reaction-diffusion systems
M Alizadeh, P Charoen-amornkitt, T Suzuki… - Chemical Engineering …, 2023 - Elsevier
There is a growing body of research on the enhancement of porous reactors through the
modification of their structures. So far, however, there has been little elucidation on how …
modification of their structures. So far, however, there has been little elucidation on how …
[HTML][HTML] Mixed topology optimization: A self-guided boundary-independent approach for power sources
M Alizadeh, P Charoen-amornkitt, T Suzuki… - Energy Conversion and …, 2023 - Elsevier
As the use of electrochemical devices becomes more prevalent, advanced optimization
techniques, such as topology optimization, are being employed to improve their …
techniques, such as topology optimization, are being employed to improve their …
A deep neural network approach for parameterized PDEs and Bayesian inverse problems
We consider the simulation of Bayesian statistical inverse problems governed by large-scale
linear and nonlinear partial differential equations (PDEs). Markov chain Monte Carlo …
linear and nonlinear partial differential equations (PDEs). Markov chain Monte Carlo …
External optimal control of nonlocal PDEs
Abstract Very recently Warma (2019 SIAM J. Control Optim. to appear) has shown that for
nonlocal PDEs associated with the fractional Laplacian, the classical notion of controllability …
nonlocal PDEs associated with the fractional Laplacian, the classical notion of controllability …
Algebraically stabilized Lagrange multiplier method for frictional contact mechanics with hydraulically active fractures
Accurate numerical simulation of coupled fracture/fault deformation and fluid flow is crucial
to the performance and safety assessment of many subsurface systems. In this work, we …
to the performance and safety assessment of many subsurface systems. In this work, we …
An efficient ADAM-type algorithm with finite elements discretization technique for random elliptic optimal control problems
H Song, H Wang, J Wu, J Yang - Journal of Computational and Applied …, 2025 - Elsevier
We consider an optimal control problem governed by an elliptic partial differential equation
(PDE) with random coefficient, and introduce an efficient numerical method for the problem …
(PDE) with random coefficient, and introduce an efficient numerical method for the problem …
Optimal experimental design under irreducible uncertainty for linear inverse problems governed by PDEs
K Koval, A Alexanderian, G Stadler - Inverse Problems, 2020 - iopscience.iop.org
We present a method for computing A-optimal sensor placements for infinite-dimensional
Bayesian linear inverse problems governed by PDEs with irreducible model uncertainties …
Bayesian linear inverse problems governed by PDEs with irreducible model uncertainties …
Adjoint-based determination of weaknesses in structures
An adjoint-based procedure to determine weaknesses, or, more generally the material
properties of structures is developed and tested. Given a series of force and …
properties of structures is developed and tested. Given a series of force and …
Hyper-differential sensitivity analysis with respect to model discrepancy: Optimal solution updating
J Hart, B van Bloemen Waanders - Computer Methods in Applied …, 2023 - Elsevier
A common goal throughout science and engineering is to solve optimization problems
constrained by computational models. However, in many cases a high-fidelity numerical …
constrained by computational models. However, in many cases a high-fidelity numerical …