Lozinski, Alexei

1. ϕ-FEM: a finite element method on domains defined by level-sets
   2019/03/09 by Michel Duprez, Duprez, Michel, Alexei Lozinski +1 · 2 citations
   Computer Science · Engineering · #65N15 #65N30 #65N85 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
2. A penalty-free Shifted Boundary Method of arbitrary order
   2023/06/22 by John H. Collins, Alexei Lozinski, Collins, J. Haydel +3 · 3 citations
   Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
3. An MsFEM type approach for perforated domains
   2013/07/02 by Bris, Claude Le, Legoll, Frederic, Lozinski, Alexei · 1 citation
   #FOS: Mathematics #Numerical Analysis (math.NA)
4. Non-Conforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media. Part I: Methodologies and Numerical Experiments
   2014/04/10 by Muljadi, Bagus Putra, Narski, Jacek, Lozinski, Alexei +1 · 1 citation
   #FOS: Mathematics #Numerical Analysis (math.NA)
5. Time and space adaptivity of the wave equation discretized in time by a second order scheme
   2017/06/30 by Gorynina, Olga, Lozinski, Alexei, Picasso, Marco · 1 citation
   #FOS: Mathematics #Numerical Analysis (math.NA)
6. An easily computable error estimator in space and time for the wave equation
   2017/10/22 by Gorynina, Olga, Lozinski, Alexei, Picasso, Marco · 1 citation
   #FOS: Mathematics #Numerical Analysis (math.NA)
7. ϕ-FEM: an efficient simulation tool using simple meshes for problems in structure mechanics and heat transfer
   2021/10/11 by Stéphane Cotin, Michel Duprez, Cotin, Stephane +7 · 1 citation
   Engineering · #65N15 #65N30 #65N85 #Advanced Numerical Methods in Computational Mathematics #Composite Material Mechanics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
8. Nonlinear reduced basis using mixture Wasserstein barycenters: application to an eigenvalue problem inspired from quantum chemistry
   2023/07/28 by Dalery, Maxime, Dusson, Genevieve, Ehrlacher, Virginie +1 · 1 citation
   #FOS: Mathematics #Numerical Analysis (math.NA)
9. Non-Conforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media. Part II: error estimates for periodic microstructure
   2018/02/12 by Gaspard Jankowiak, Alexei Lozinski, Jankowiak, Gaspard +1 · 1 citation
   Computer Science · Engineering · #35J15 #65N12 #65N30 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Composite Material Mechanics #FOS: Mathematics #Numerical Analysis (math.NA)
10. phi-FEM for the heat equation: optimal convergence on unfitted meshes in space
    2023/03/21 by Michel Duprez, Vanessa Lleras, Duprez, Michel +5 · 1 citation
    Computer Science · Engineering · #65M60 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Numerical Analysis (math.NA)
11. Phi-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations
    2022/11/13 by Duprez, Michel, Lleras, Vanessa, Lozinski, Alexei · 1 citation
    #65N15 #65N30 #65N85 #FOS: Mathematics #Numerical Analysis (math.NA)
12. MsFEM for advection-dominated problems in heterogeneous media: Stabilization via nonconforming variants
    2024/06/19 by Biezemans, Rutger A., Bris, Claude Le, Legoll, Frédéric +1 · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
13. Phi-FEM-FNO: a new approach to train a Neural Operator as a fast PDE solver for variable geometries
    2025/02/14 by Duprez, Michel, Lleras, Vanessa, Lozinski, Alexei +2 · 1 citation
    #65M22 #65N30 #68T01 #FOS: Mathematics #Numerical Analysis (math.NA)