Selected Publications

  1. 2026 — A review of finite element methods for fluid-structure interactions PDF
  2. 2026 — A class of fluid-structure interaction problems with analytical solutions for the validation of numerical methods PDF
  3. 2023 — A monolithic optimal control method for displacement tracking of Cosserat rod with application to reconstruction of C. elegans locomotion PDF
  4. 2022 — A monolithic one-velocity-field optimal control formulation for fluid–structure interaction problems with large solid deformation PDF
  5. 2021 — An optimal control method for time-dependent fluid-structure interaction problems PDF
  6. 2021 — Two-objective robust optimisation with quantification and propagation of uncertainties from surrogate model and manufacturing process PDF
  7. 2020 — An energy stable one-field monolithic arbitrary Lagrangian–Eulerian formulation for fluid–structure interaction PDF
  8. 2020 — A three-dimensional, one-field, fictitious domain method for fluid-structure interactions PDF
  9. 2019 — A theoretical and numerical investigation of a family of immersed finite element methods PDF
  10. 2019 — Energy analysis for the one-field fictitious domain method for fluid-structure interactions PDF
  11. 2017 — A one-field monolithic fictitious domain method for fluid–structure interactions PDF

Recommended Reading

Navier–Stokes Equations on Manifolds

  1. 2025 — The Navier-Stokes equations on manifolds with boundary PDF
  2. 2025 — Coriolis-driven fluid motion on spherical surfaces PDF
  3. 2021 — On the Navier–Stokes equations on surfaces PDF
  4. 2020 — Navier–Stokes equations on Riemannian manifolds PDF

Interface Problems

  1. 2023 — Interpolation-based immersed finite element and isogeometric analysis PDF
  2. 2022 — Unfitted mixed finite element methods for elliptic interface problems PDF
  3. 2022 — On the interface matrix for fluid-structure interaction problems with fictitious domain approach PDF
  4. 2019 — Dirichlet boundary value correction using Lagrange multipliers PDF
  5. 2005 — Nitsche’s method for interface problems in computational mechanics PDF

Optimal Control and Shape Optimisation

  1. 2018 — Geometrical shape optimization in fluid mechanics using FreeFem++ PDF
  2. 2015 — The other optimal Stokes drag profile PDF
  3. 2002 — Applied Optimal Shape Design (B. Mohammadi) PDF
  4. 1991 — Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls PDF
  5. 1991 — Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with distributed and Neumann controls PDF
  6. 1973 — On optimum design in fluid mechanics (Olivier Pironneau) PDF
  7. 1972 — On optimum profiles in Stokes flow (Olivier Pironneau) PDF
  8. Optimal Shape Design by Local Boundary Variations (Olivier Pironneau) PDF

Hamiltonian Formulations and Energy-Preserving Methods

  1. 2009 — On the construction of discrete gradients PDF
  2. 2008 — Hamiltonian formulation of heat conduction: Integral transform method approach PDF
  3. 1999 — Hamiltonian description of the heat conduction PDF
  4. 1988 — Hamiltonian fluid mechanics PDF

FreeFem++

  1. 2019 — Augmented Lagrangian preconditioner for large-scale hydrodynamic stability analysis PDF

Linear Systems and Preconditioning

  1. 2010 — A new approximation of the Schur complement in preconditioners for PDE constrained optimization PDF
  2. 1999 — A note on preconditioning for indefinite linear systems PDF

Finite Element Methods

  1. 1973 — The finite element method with Lagrangian multipliers PDF
  2. 1973 — The finite element method with penalty PDF