The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method-Reference-Cited by-同舟云学术

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

Published:2023-10-25 Issue:5 Volume:61 Page:2534-2557
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Burman Erik¹^ORCID,Delay Guillaume²^ORCID,Ern Alexandre³

Affiliation:

1. Department of Mathematics, University College London, London, WC1E 6BT, UK.

2. Sorbonne Université, CNRS, Université Paris Cité, LJLL, F-75005 Paris, France.

3. CERMICS, École des Ponts, 77455, Marne-la-Vallée cedex 2, and INRIA, 75589 Paris, France.

Funder

Engineering and Physical Sciences Research Council

Université Sorbonne Paris Cité

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Numerical Analysis,Applied Mathematics,Computational Mathematics

Reference27 articles.

1. The stability for the Cauchy problem for elliptic equations

2. Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: The 1D case

3. A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation

4. Convergence rates for the quasi-reversibility method to solve the Cauchy problem for Laplace's equation

5. Stabilized Finite Element Methods for Nonsymmetric, Noncoercive, and Ill-Posed Problems. Part I: Elliptic Equations

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A stability estimate for data assimilation subject to the heat equation with initial datum;Comptes Rendus. Mathématique;2023-11-10

2. Least squares solvers for ill-posed PDEs that are conditionally stable;ESAIM: Mathematical Modelling and Numerical Analysis;2023-07

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