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Finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging techniques
A stability estimate for data assimilation subject to the heat equation with initial datum
Erik Burman, Guillaume Delay, Alexandre Ern and Lauri Oksanen Comptes Rendus. Mathématique 361(G9) 1521 (2023) https://doi.org/10.5802/crmath.506
Least squares solvers for ill-posed PDEs that are conditionally stable
Wolfgang Dahmen, Harald Monsuur and Rob Stevenson ESAIM: Mathematical Modelling and Numerical Analysis 57(4) 2227 (2023) https://doi.org/10.1051/m2an/2023050
Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs
Space time stabilized finite element methods for a unique continuation problem subject to the wave equation
Erik Burman, Ali Feizmohammadi, Arnaud Münch and Lauri Oksanen ESAIM: Mathematical Modelling and Numerical Analysis 55 S969 (2021) https://doi.org/10.1051/m2an/2020062
A Fully Discrete Numerical Control Method for the Wave Equation
Erik Burman, Ali Feizmohammadi and Lauri Oksanen SIAM Journal on Control and Optimization 58(3) 1519 (2020) https://doi.org/10.1137/19M1249424
A finite element data assimilation method for the wave equation