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All issues ESAIM: M2AN, 57 4 (2023) 2227-2255 Article references

Articles citing this article

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Cited article:

Variational Data Assimilation for the Wave Equation in Heterogeneous Media: Numerical Investigation of Stability

Erik Burman, Janosch Preuss and Tim van Beeck
Communications on Applied Mathematics and Computation (2026)
https://doi.org/10.1007/s42967-026-00583-w

Adaptive Least-Squares (Space-Time) Finite Element Methods For Convection-Diffusion Problems

Christian Köthe and Olaf Steinbach
Computational Methods in Applied Mathematics 26 (2) 211 (2026)
https://doi.org/10.1515/cmam-2025-0156

Unique continuation for the wave equation based on a discontinuous Galerkin time discretization

Erik Burman and Janosch Preuss
IMA Journal of Numerical Analysis 46 (3) 1289 (2026)
https://doi.org/10.1093/imanum/draf036

On inf-sup stability and optimal convergence of the quasi-reversibility method for unique continuation subject to Poisson’s equation

Erik Burman and Mingfei Lu
Mathematics of Computation (2026)
https://doi.org/10.1090/mcom/4162

Comparative Analysis of Numerical Methods for Solving 3D Continuation Problem for Wave Equation

Galitdin Bakanov, Sreelatha Chandragiri, Sergey Kabanikhin and Maxim Shishlenin
Mathematics 13 (18) 2979 (2025)
https://doi.org/10.3390/math13182979

Unique continuation for an elliptic interface problem using unfitted isoparametric finite elements

Erik Burman and Janosch Preuss
The SMAI Journal of computational mathematics 11 165 (2025)
https://doi.org/10.5802/smai-jcm.122

Ultra-Weak Least Squares Discretizations for Unique Continuation and Cauchy Problems

Harald Monsuur and Rob Stevenson
SIAM Journal on Numerical Analysis 63 (3) 1344 (2025)
https://doi.org/10.1137/24M1674844

Solving the unique continuation problem for Schrödinger equations with low regularity solutions using a stabilized finite element method

Erik Burman, Mingfei Lu and Lauri Oksanen
ESAIM: Mathematical Modelling and Numerical Analysis 59 (5) 2385 (2025)
https://doi.org/10.1051/m2an/2025060

The unique continuation problem for the wave equation discretized with a high-order space-time nonconforming method

Erik Burman, Guillaume Delay and Alexandre Ern
Numerische Mathematik 157 (4) 1259 (2025)
https://doi.org/10.1007/s00211-025-01479-2

Variationally correct neural residual regression for parametric PDEs: on the viability of controlled accuracy

Markus Bachmayr, Wolfgang Dahmen and Mathias Oster
IMA Journal of Numerical Analysis (2025)
https://doi.org/10.1093/imanum/draf073

Stabilizing and solving unique continuation problems by parameterizing data and learning finite element solution operators

Erik Burman, Mats G. Larson, Karl Larsson and Carl Lundholm
Computer Methods in Applied Mechanics and Engineering 444 118111 (2025)
https://doi.org/10.1016/j.cma.2025.118111

Computational Unique Continuation with Finite Dimensional Neumann Trace

Erik Burman, Lauri Oksanen and Ziyao Zhao
SIAM Journal on Numerical Analysis 63 (5) 1986 (2025)
https://doi.org/10.1137/24M164080X

Finite element approximation of unique continuation of functions with finite dimensional trace

Erik Burman and Lauri Oksanen
Mathematical Models and Methods in Applied Sciences 34 (10) 1809 (2024)
https://doi.org/10.1142/S0218202524500362

Isogeometric analysis and Augmented Lagrangian Galerkin Least Squares Methods for residual minimization in dual norm

Erik Burman, Peter Hansbo, Mats G. Larson and Karl Larsson
Computer Methods in Applied Mechanics and Engineering 417 116302 (2023)
https://doi.org/10.1016/j.cma.2023.116302