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Electromagnetic Inverse Source Problems
In this chapter, we give a brief introduction to the electromagnetic inverse source problems in free space. Making use of the spherical harmonic... -
Practical Inverse Problems and Their Prospects Proceedings of PIPTP
This book comprises select proceedings of the workshop “Practical inverse problems and their prospects” held online by zoom, from Mar 2nd to Mar.... -
On some direct and inverse problems for an integro-differential equation
The direct and two inverse problems defined for an integro-differential equation on a bounded domain have been considered. The spectral problem of...
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Method of Inverse Problems for Thermal Diagnostics of Thermoelastic Structures
The application of inverse problems to thermal diagnostics of homogeneous structures is outlined, variational formulations of the problems under...
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Solving inverse problems with sparse noisy data, operator splitting and physics-constrained machine learning
Inverse problems are fundamental in tasks like computer vision, where model parameters need to be estimated from observable data. We propose a novel...
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Fuzzy random classical and inverse median location problems
In many complex systems, fuzziness and randomness simultaneously appear in a system. Then the fuzzy random variable such that it can be an effective...
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Inverse Problems in Global Flow Diagnostics
This book describes unified image-based measurement methods (theories, numerical methods, and algorithms) to determine the important physical...
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Semi-supervised invertible neural operators for Bayesian inverse problems
Neural Operators offer a powerful, data-driven tool for solving parametric PDEs as they can represent maps between infinite-dimensional function...
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Solving forward and inverse problems of contact mechanics using physics-informed neural networks
This paper explores the ability of physics-informed neural networks (PINNs) to solve forward and inverse problems of contact mechanics for small...
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Finite element method-enhanced neural network for forward and inverse problems
We introduce a novel hybrid methodology that combines classical finite element methods (FEM) with neural networks to create a well-performing and...
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Numerical Solution of Inverse Problems in Filtration of a Viscoplastic Fluid
According to the data obtained in laboratory rheological studies, oils from some fields are the Bingham non-Newtonian fluids. In this work, inverse...
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A Review of Physics Informed Neural Networks for Multiscale Analysis and Inverse Problems
This paper presents the fundamentals of Physics Informed Neural Networks (PINNs) and reviews literature on the methodology and application of PINNs....
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Sensors for Indirect Measurement of Nonstationary Heat Fluxes Based on the Methodology of Inverse Heat Conduction Problems
Sensors for diagnosing thermal regimes of heat-loaded structures have been developed and tested. To process the results of these tests, use was made...
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Forward and Inverse Problems of Time-Fractional Vibration Equation of Large Membranes in Uncertain Environment
PurposeThe vibration of large membranes is a powerful part of engineering applications, such as in the components of drums, pumps, telephones,...
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Solving multiphysics-based inverse problems with learned surrogates and constraints
Solving multiphysics-based inverse problems for geological carbon storage monitoring can be challenging when multimodal time-lapse data are expensive...
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Differentiable visual computing for inverse problems and machine learning
Modern 3D computer graphics technologies are able to reproduce the dynamics and appearance of real-world environments and phenomena, building on...
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Introduction to inverse problems
In most cases of dynamic analysis of bridges under moving loads, civil engineers have to deal with the forward problem formulation (FRÝBA, 1972).... -
Some inverse problems for fractional integro-differential equation involving two arbitrary kernels
The inverse problems of recovering a space- and a time-dependent source terms whenever appropriate over-specified conditions are considered. The...
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Toward the Solution of Inverse Thermal Conductivity and Thermal Elasticity Problems
The article describes a method of solving inverse problems, which is based on the joint application of the A. N. Tikhonov regularization principle...