A Bi-fidelity ensemble kalman method for PDE-constrained inverse problems in computational mechanics [PDF]
Han Gao, Jian-Xun Wang
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Optimal experimental design under irreducible uncertainty for linear inverse problems governed by PDEs [PDF]
Karina Koval +2 more
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PDE-aware deep learning for inverse problems in cardiac electrophysiology: datasets
Riccardo Tenderini +3 more
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Solving forward and inverse problems in a non-linear 3D PDE via an asymptotic expansion based approach [PDF]
Dmitrii Chaikovskii, Ye Zhang
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On Qualitative Experimental Design for PDE Parameter Identification Inverse Problems [PDF]
Der Erfolg der Rekonstruktion eines Modellparameters aus indirekten experimentellen Messungen durch Lösen des inversen Problems hängt ma{\ss}geblich von der Qualität der zur Verfügung stehenden Daten ab. Ziel der Versuchsplanung ist daher die Auswahl von geeigneten experimentellen Setups, die für diese Aufgabe informative Daten erzeugen.
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PDE-constrained optimal control approach for the approximation of an inverse Cauchy problem
Lili Chang +3 more
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A framework to solve inverse problems for parametric PDEs using adaptive finite elements and neural networks [PDF]
Alexandre Caboussat +2 more
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Stability for a formally determined inverse problem for a hyperbolic PDE with space and time dependent coefficients [PDF]
Venky Krishnan +2 more
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Asymptotic Expansion Regularization for Inverse Source Problems in Two-Dimensional Singularly Perturbed Nonlinear Parabolic PDEs [PDF]
Dmitrii Chaikovskii +2 more
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