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All issues ESAIM: M2AN, 52 5 (2018) 2065-2082 Article references

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Cited article:

Variational data assimilation with finite-element discretization for second-order parabolic interface equation

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IMA Journal of Numerical Analysis 45 (1) 451 (2025)
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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

Finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging techniques

Yu Chen Peng, Liang Chun Wu and Ming-Cheng Shiue
Results in Applied Mathematics 20 100407 (2023)
https://doi.org/10.1016/j.rinam.2023.100407

The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method

Erik Burman, Guillaume Delay and Alexandre Ern
SIAM Journal on Numerical Analysis 61 (5) 2534 (2023)
https://doi.org/10.1137/22M1508637

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

Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs

Siddhartha Mishra and Roberto Molinaro
IMA Journal of Numerical Analysis 42 (2) 981 (2022)
https://doi.org/10.1093/imanum/drab032

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

Accuracy controlled data assimilation for parabolic problems

Wolfgang Dahmen, Rob Stevenson and Jan Westerdiep
Mathematics of Computation 91 (334) 557 (2021)
https://doi.org/10.1090/mcom/3680

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

Data assimilation finite element method for the linearized Navier–Stokes equations in the low Reynolds regime

Muriel Boulakia, Erik Burman, Miguel A. Fernández and Colette Voisembert
Inverse Problems 36 (8) 085003 (2020)
https://doi.org/10.1088/1361-6420/ab9161

Convexification of a 3-D coefficient inverse scattering problem

Michael V. Klibanov and Aleksandr E. Kolesov
Computers & Mathematics with Applications 77 (6) 1681 (2019)
https://doi.org/10.1016/j.camwa.2018.03.016

Convexification Method for an Inverse Scattering Problem and Its Performance for Experimental Backscatter Data for Buried Targets

Michael V. Klibanov, Aleksandr E. Kolesov and Dinh-Liem Nguyen
SIAM Journal on Imaging Sciences 12 (1) 576 (2019)
https://doi.org/10.1137/18M1191658