Research output per year
Research output per year
Personal profile
Personal profile
Alexandre Ern has written 4 books and directed about twenty doctoral theses. He works in mathematical and numerical modeling for engineering sciences. His research covers both fundamental scientific questions and industry-related applications.
Research interests
- Numerical methods (finite elements, dG, structure-preserving discretizations), a posteriori error estimates
- Fluid and solid mechanics, environmental flows (hydrology, porous media)
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Collaborations and top research areas from the last five years
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Elasto-acoustic wave propagation in geophysical media using hybrid high-order methods on general meshes
Mottier, R., Ern, A. & Guillot, L., 1 Jan 2026, In: Computer Methods in Applied Mechanics and Engineering. 448, 118458.Research output: Contribution to journal › Article › peer-review
Open Access -
A bound-preserving scheme for the Allen–Cahn equation
Dong, Z., Ern, A. & Wang, Z., 1 Dec 2025, In: Computers and Mathematics with Applications. 199, p. 225-241 17 p.Research output: Contribution to journal › Article › peer-review
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A stabilized hybridized Nitsche method for sign-changing elliptic PDEs
Burman, E., Ern, A. & Preuss, J., 30 Dec 2025, In: Mathematical Models and Methods in Applied Sciences. 35, 14, p. 2977-3009 33 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Asymptotic optimality of the edge finite element approximation of the time-harmonic Maxwell’s equations
Chaumont-Frelet, T. & Ern, A., 1 Jan 2025, In: Comptes Rendus Mathematique. 363, p. 1083-1101 19 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Damped Energy-norm a posteriori error estimates using C2-reconstructions for the fully discrete wave equation with the leapfrog scheme
Chaumont-Frelet, T. & Ern, A., 1 Jul 2025, In: Mathematical Modelling and Numerical Analysis. 59, 4, p. 1937-1972 36 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Elasticity-based morphing technique and application to reduced-order modeling
Kabalan, A., Casenave, F., Bordeu, F., Ehrlacher, V. & Ern, A., 1 May 2025, In: Applied Mathematical Modelling. 141, 115929.Research output: Contribution to journal › Article › peer-review
Open Access -
H1 regularity of the minimizers for the inviscid total variation and Bingham fluid problems for H1 data
Bouchut, F., Carstensen, C. & Ern, A., 1 Sept 2025, In: Nonlinear Analysis, Theory, Methods and Applications. 258, 113809.Research output: Contribution to journal › Article › peer-review
Open Access -
Hybrid high-order methods for elasto-acoustic wave propagation in the time domain
Mottier, R., Ern, A., Khot, R. & Guillot, L., 1 Sept 2025, In: Mathematical Modelling and Numerical Analysis. 59, 5, p. 2685-2715 31 p.Research output: Contribution to journal › Article › peer-review
Open Access -
SPECTRAL CORRECTNESS OF THE SIMPLICIAL DISCONTINUOUS GALERKIN APPROXIMATION OF THE FIRST-ORDER FORM OF MAXWELL'S EQUATIONS WITH DISCONTINUOUS COEFFICIENTS
Ern, A. & Guermond, J. L., 1 Jan 2025, In: SIAM Journal on Numerical Analysis. 63, 2, p. 661-684 24 p.Research output: Contribution to journal › Article › peer-review
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The unique continuation problem for the wave equation discretized with a high-order space-time nonconforming method
Burman, E., Delay, G. & Ern, A., 1 Aug 2025, In: Numerische Mathematik. 157, 4, p. 1259-1284 26 p.Research output: Contribution to journal › Article › peer-review
Open Access