Inverse problems for pdes - Open Access .click

SIAM Journal on Scientific Computing, 2022
This paper deals with solving an inverse problem of electrocardiography involving deep learning (DL). In more detail: ``The goal of this work is to show how the integration between DL techniques and physically based regularization allows one to accurately solve the inverse problem of electrocardiography, even in a small data regime.'' (page B608).
Riccardo Tenderini +3 more
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Numerical Solution Of Inverse Problem For Elliptic Pdes

International Journal of Computer Mathematics, 2003
This work is concerned with computing the solution of the following inverse problem: Finding u and on D such that: $$\nabla \cdot (\rho \nabla u) = 0,\quad \hbox{on}\ D;$$ $$u = g,\quad \hbox{on}\ \partial D;\qquad \rho u_n = f,\quad \hbox{on}\ \partial D;$$ $$\rho (x_0, y_0) = \rho_0,\quad \hbox{for a given point}\ (x_0, y_0) \in D$$ where f and g ...
Ali Sayfy, Sadia Makky
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Deep Learning for PDE-based Inverse Problems

Oberwolfach Reports
Workshop ...
Simon Arridge +2 more
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fos: mathematics
numerical analysis math.na
fos: computer and information sciences

mathematics - numerical analysis
optimization and control math.oc
machine learning cs.lg

inverse problem
physics-informed neural networks
inverse problems