A Discrete Duality Finite Volume Approach to Hodge Decomposition and div-curl Problems on Almost Arbitrary Two-Dimensional Meshes. - Sarah Delcourte; Komla Domelevo; Pascal Omnes (SIAM J. Numer. Anal., 2007)

A finite volume method for the approximation of Maxwell's equations in two space dimensions on arbitrary meshes. - Francois Hermeline; Siham Layouni; Pascal Omnes (J. Comput. Phys., 2008)

A Posteriori Error Estimation for the Discrete Duality Finite Volume Discretization of the Laplace Equation. - Pascal Omnes; Yohan Penel; Yann Rosenbaum (SIAM J. Numer. Anal., 2009)

Développement et analyse de méthodes de volumes finis. (Development and analysis of finite volume methods). - Pascal Omnes (2010)

The influence of cell geometry on the Godunov scheme applied to the linear wave equation. - Stéphane Dellacherie; Pascal Omnes; Felix Rieper (J. Comput. Phys., 2010)

Optimized Schwarz Waveform Relaxation for Porous Media Applications. - Caroline Japhet; Pascal Omnes (Domain Decomposition Methods in Science and Engineering XX, 2013)

Analysis of modified Godunov type schemes for the two-dimensional linear wave equation with Coriolis source term on cartesian meshes. - Emmanuel Audusse; Minh-Hieu Do; Pascal Omnes; Yohan Penel (J. Comput. Phys., 2018)

Optimal Absorption of Acoustic Waves by a Boundary. - Frédéric Magoulès; Thi Phuong Kieu Nguyen; Pascal Omnes; Anna Rozanova-Pierrat (SIAM J. Control. Optim., 2021)

Enriched Nonconforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media Based on High-order Weighting Functions. - Qingqing Feng; Grégoire Allaire; Pascal Omnes (Multiscale Model. Simul., 2022)

A posteriori error estimates for the time-dependent convection-diffusion-reaction equation coupled with the Darcy system. - Nancy Chalhoub; Pascal Omnes; Toni Sayah; Rebecca El Zahlaniyeh (Numer. Algorithms, 2022)

Coupling Parareal with Optimized Schwarz Waveform Relaxation for Parabolic Problems. - Duc Quang Bui; Caroline Japhet; Yvon Maday; Pascal Omnes (SIAM J. Numer. Anal., 2022)

Analysis of dissipation operators that damp spurious modes while maintaining discrete approximate geostrophic equilibriums for the B-grid staggered scheme on triangular meshes. - Minh-Hieu Do; Van-Thanh Nguyen; Pascal Omnes (J. Comput. Phys., 2023)

A posteriori error estimates for the time-dependent Navier-Stokes system coupled with the convection-diffusion-reaction equation. - Jad Dakroub; Joanna Faddoul; Pascal Omnes; Toni Sayah (Adv. Comput. Math., 2023)

A posteriori error estimate for the non-stationary concentration equation coupled with the Darcy system discretized by the Raviart-Thomas finite element. - Nancy Chalhoub; Pascal Omnes; Toni Sayah; Rebecca El Zahlaniyeh (Comput. Appl. Math., 2024)

A short perspective on a posteriori error control and adaptive discretizations. - Roland Becker; Stéphane P. A. Bordas; Franz Chouly; Pascal Omnes (CoRR, 2024)