Preprints

Articles

• D. Corti, G. Delay, M. A. Fernández, F. Vergnet, M. Vidrascu: Low-order fictitious domain method with enhanced mass conservation for an interface Stokes problem. ESAIM: M2AN 58 (2024), 303--333 [HAL] [Journal]
• E. Burman, G. Delay, A. Ern: The unique continuation problem for the heat equation discretized with a high-order space-time nonconforming method. SIAM J. Numer. Anal.61(2023), no.5, 2534--2557. [HAL] [Journal]
• E. Burman, G. Delay, A. Ern, L. Oksanen: A stability estimate for data assimilation subject to the heat equation with initial datum. Comptes Rendus Math. 361 (2023), 1521--1530. [HAL] [Journal]
• E. Burman, G. Delay, A. Ern: An unfitted hybrid high-order method for the Stokes interface problem. IMA J. Numer. Anal. 41 (2021), no. 4, 2362--2387. [HAL] [Journal]
• E. Burman, G. Delay, A. Ern: A hybridized high-order method for unique continuation subject to the Helmholtz equation. SIAM J. Numer. Anal. 59 (2021), no. 5, 2368--2392. [HAL] [Journal]
• J. Dabaghi, G. Delay: A unified framework for high-order numerical discretizations of variational inequalities. Comput. Math. Appl. 92 (2021), 62--75. [HAL] [Journal]
• E. Burman, M. Cicuttin, G. Delay, A. Ern: An unfitted Hybrid High-Order method with cell agglomeration for elliptic interface problems. SIAM J. Sci. Comput. 43 (2021), no. 2, A859--A882. [HAL] [Journal]
• G. Delay: Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters. ESAIM Math. Model. Numer. Anal. 54 (2020), no. 1, 301--333. [HAL] [Journal]
• G. Delay: Local stabilization of a fluid-structure system around a stationary state with a structure given by a finite number of parameters. SIAM J. Control Optim. 57 (2019), no. 6, 4063--4098. [HAL] [Journal]

Proceedings

• E. Burman, G. Delay, A. Ern: The unfitted HHO method for the Stokes problem on curved domains. Numerical mathematics and advanced applications—ENUMATH 2019, 389--397, Lect. Notes Comput. Sci. Eng., 139, Springer, Cham, 2021. [HAL]
• G. Delay, M. Fournié: Practical contributions on the fictitious domain method for a fluid-structure interaction problem. Boundary and interior layers, computational and asymptotic methods--BAIL 2018, 45--58, Lect. Notes Comput. Sci. Eng., 135, Springer, Cham, 2020. [HAL]