Search Results - numerical methods for inverse problems for boundary value problems involving pces

Control of flow behavior in complex fluids using automatic differentiation.

Authors: Alhashim, Mohammed G. Hausknecht, Kaylie Brenner, Michael P.

Source: Proceedings of the National Academy of Sciences of the United States of America; 2/25/2025, Vol. 122 Issue 8, p1-8, 18p

Subject Terms: AUTOMATIC differentiation, BOUNDARY value problems, NEWTONIAN fluids, COMPLEX fluids, POROUS materials

Convergence analysis of surrogate-based methods for Bayesian inverse problems.

Authors: Liang Yan Yuan-Xiang Zhang

Source: Inverse Problems; Dec2017, Vol. 33 Issue 12, p1-1, 1p

Subject Terms: STOCHASTIC convergence, BAYESIAN analysis, INVERSE problems, APPROXIMATION theory, NONLINEAR statistical models

Uncertainty Quantification of Herschel–Bulkley Fluids in Rectangular Ducts Due to Stochastic Parameters and Boundary Conditions.

Authors: Galal, Osama Hussein Alruwaili, Eman

Source: Axioms (2075-1680); Jul2025, Vol. 14 Issue 7, p492, 19p

Subject Terms: NON-Newtonian fluids, MONTE Carlo method, BOUNDARY value problems, AIR ducts, FLUID velocity measurements, SENSITIVITY analysis, RANDOM variables

Control Approach to an Ill-Posed Variational Inequality.

Authors: Anita, S. Hritonenko, N. Marinoschi, G. et al.

Source: Mathematical Modelling of Natural Phenomena; Jul2014, Vol. 9 Issue 4, p153-170, 18p

Subject Terms: VARIATIONAL inequalities (Mathematics), NONCONVEX programming, OPTIMAL control theory, NONLINEAR equations, BOUNDARY value problems

Water table rise in urban shallow aquifer with vertically-heterogeneous soils: Girinskii's potential revisited.

Authors: Kacimov, A. R. Al-Maktoumi, A. Šimůnek, J.

Source: Hydrological Sciences Journal/Journal des Sciences Hydrologiques; Apr2021, Vol. 66 Issue 5, p795-808, 14p

Subject Terms: WATER table, ORDINARY differential equations, HYDRAULIC conductivity, URBAN hydrology, MUNICIPAL water supply, AQUIFERS

Uncertainty Quantification of Microstructures: A Perspective on Forward and Inverse Problems for Mechanical Properties of Aerospace Materials.

Authors: Billah, Md Maruf Elleithy, Mohamed Khan, Waris et al.

Source: Advanced Engineering Materials; Jan2025, Vol. 27 Issue 2, p1-31, 31p

Subject Terms: MECHANICAL behavior of materials, INVERSE problems, AEROSPACE materials, MICROSTRUCTURE, TOPOLOGY

An adaptive multi-output Gaussian process surrogate model for large-scale parameter estimation problems.

Authors: Lyu, Xiaolong Huang, Dan Wu, Liwei et al.

Source: Engineering Computations; 2024, Vol. 41 Issue 6, p1623-1639, 17p

Subject Terms: GAUSSIAN processes, PARAMETER estimation, CONCRETE dams, FINITE element method, STRUCTURAL engineering, ADAPTIVE sampling (Statistics)

Inverse Modeling for Subsurface Flow Based on Deep Learning Surrogates and Active Learning Strategies.

Authors: Wang, Nanzhe Chang, Haibin Zhang, Dongxiao

Source: Water Resources Research; Jul2023, Vol. 59 Issue 7, p1-22, 22p

Subject Terms: DEEP learning, ACTIVE learning, LEARNING strategies, GROUNDWATER flow, TWO-phase flow, SINGLE-phase flow

In-context operator learning with data prompts for differential equation problems.

Authors: Liu Yang Siting Liu Tingwei Meng et al.

Source: Proceedings of the National Academy of Sciences of the United States of America; 9/26/2023, Vol. 120 Issue 39, p1-10, 13p

Subject Terms: DIFFERENTIAL equations, ORDINARY differential equations, PARTIAL differential equations, OCCUPATIONAL retraining, INVERSE problems

A meshless fading regularization algorithm for solving the Cauchy problem for the three-dimensional Helmholtz equation.

Authors: Caillé, Laëtitia Marin, Liviu Delvare, Franck

Source: Numerical Algorithms; Nov2019, Vol. 82 Issue 3, p869-894, 26p

Subject Terms: HELMHOLTZ equation, CAUCHY problem, MATHEMATICAL regularization, INVERSE problems, PROBLEM solving, ALGORITHMS

Bilevel Data-Driven Modeling Framework for High-Dimensional Structural Optimization under Uncertainty Problems.

Authors: Dutta, Subhrajit Gandomi, Amir H.

Source: Journal of Structural Engineering; Nov2020, Vol. 146 Issue 11, p1-13, 13p

Subject Terms: PROPER orthogonal decomposition, POLYNOMIAL chaos, UNCERTAINTY, MONTE Carlo method, PARTICLE swarm optimization, ROBUST optimization, STRUCTURAL optimization

Uncertainty analysis of residual strength of porous laminates in hot and humid environment based on polynomial chaos expansion.

Authors: Xiao, Haijian Liu, Xinglong Song, Ting et al.

Source: International Journal of Mechanics & Materials in Design; Aug2024, Vol. 20 Issue 4, p755-776, 22p

EURAD state-of-the-art report: development and improvement of numerical methods and tools for modeling coupled processes in the field of nuclear waste disposal.

Authors: Claret, F. Prasianakis, N. I. Baksay, A. et al.

Source: Frontiers in Nuclear Engineering; 2024, p1-53, 53p

Subject Terms: RADIOACTIVE waste management, MACHINE learning, KNOWLEDGE management, SENSITIVITY analysis, RADIOACTIVE waste disposal, RADIOACTIVE wastes, RESEARCH & development

Speckle-correlation imaging through a kaleidoscopic multimode fiber.

Authors: Bouchet, Dorian Caravaca-Aguirre, Antonio Miguel Godefroy, Guillaume et al.

Source: Proceedings of the National Academy of Sciences of the United States of America; 6/27/2023, Vol. 120 Issue 26, p1-7, 17p

Subject Terms: LIGHT propagation, SPECKLE interference, FIBERS, PROBLEM solving, INVERSE problems

SPECIFICATION OF ADDITIONAL INFORMATION FOR SOLVING STOCHASTIC INVERSE PROBLEMS.

Authors: UY, WAYNE ISAAC T. GRIGORIU, MIRCEA

Source: SIAM Journal on Scientific Computing; 2019, Vol. 41 Issue 5, pA2880-A2910, 31p

Subject Terms: MAXIMUM entropy method, PROBABILITY density function, INVERSE problems, STOCHASTIC differential equations, BAYES' theorem

Bridging Large Eddy Simulation and Reduced-Order Modeling of Convection-Dominated Flows through Spatial Filtering: Review and Perspectives.

Authors: Quaini, Annalisa San, Omer Veneziani, Alessandro et al.

Source: Fluids; Aug2024, Vol. 9 Issue 8, p178, 54p

Subject Terms: COMPUTATIONAL fluid dynamics, MACHINE learning, FLUID dynamics, SPATIAL filters, REDUCED-order models

A geometric approach to joint inversion with applications to contaminant source zone characterization.

Authors: Aghasi, Alireza Mendoza-Sanchez, Itza Miller, Eric L et al.

Source: Inverse Problems; Nov2013, Vol. 29 Issue 11, p115014-115045, 32p

Subject Terms: INVERSE problems, ORGANIC water pollutants, TIKHONOV regularization, ITERATIVE methods (Mathematics), FOURIER transforms, SPATIAL analysis (Statistics)

CONVERGENCE OF PROBABILITY DENSITIES USING APPROXIMATE MODELS FOR FORWARD AND INVERSE PROBLEMS IN UNCERTAINTY QUANTIFICATION.

Authors: BUTLER, T. JAKEMAN, J. WILDEY, T.

Source: SIAM Journal on Scientific Computing; 2018, Vol. 40 Issue 5, pA3523-3548, 26p

Subject Terms: PROBABILITY density function, POLYNOMIAL chaos, APPROXIMATE identities (Algebra)

Recent Advances in Surrogate Modeling Methods for Uncertainty Quantification and Propagation.

Authors: Wang, Chong Qiang, Xin Xu, Menghui et al.

Source: Symmetry (20738994); Jun2022, Vol. 14 Issue 6, pN.PAG-N.PAG, 24p

Subject Terms: ADAPTIVE sampling (Statistics), ENGINEERING systems, SYSTEMS engineering, MATHEMATICAL models, SAMPLING (Process)

Using machine learning to predict extreme events in complex systems.

Authors: Di Qi Majda, Andrew J.

Source: Proceedings of the National Academy of Sciences of the United States of America; 1/7/2020, Vol. 117 Issue 1, p52-59, 8p

Subject Terms: MACHINE learning, DYNAMICAL systems, ARTIFICIAL neural networks, WATER waves, INVARIANT measures