1. Large-scale Multigrid with Adaptive Galerkin Coarsening
   2025/11/17 by Fabian Böhm, Böhm, Fabian, Nils Kohl +4 · 1 citation
   Computer Science · Engineering · Materials Science · #35Q30 #35R05 #65M60 #65N55 #76D07 #76M10 #86A17 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Computer and information sciences #Performance (cs.PF) #Solidification and crystal growth phenomena
2. On the weak flocking of the kinetic Cucker-Smale model in a fully non-compact support setting
   2025/07/10 by Ha, Seung-Yeal, Wang, Xinyu · 1 citation
   #34D05 #70K20 #76D07 #Analysis of PDEs (math.AP) #FOS: Mathematics
3. A Reynolds-semi-robust method with hybrid velocity and pressure for the unsteady incompressible Navier--Stokes equations
   2025/02/21 by da Veiga, Lourenço Beirão, Di Pietro, Daniele A., Droniou, Jérôme +2 · 1 citation
   #35Q30 #65N12 #65N30 #76D07 #FOS: Mathematics #Numerical Analysis (math.NA)
4. A Nitsche method for incompressible fluids with general dynamic boundary conditions
   2025/02/13 by Gazca-Orozco, Pablo Alexei, Gmeineder, Franz, Kokavcová, Erika Maringová +1 · 1 citation
   #65N30 #76D07 #76M10 #FOS: Mathematics #Numerical Analysis (math.NA)
5. Nonstationary Stokes equations on a domain with curved boundary under slip boundary conditions
   2024/08/30 by Dong, Hongjie, Kwon, Hyunwoo · 1 citation
   #35B45 #35K51 #76D03 #76D07 #Analysis of PDEs (math.AP) #FOS: Mathematics
6. A simulation platform for slender, semiflexible, and inextensible fibers with Brownian hydrodynamics and steric repulsion
   2024/08/28 by Ondrej Maxian, Maxian, Ondrej, Aleksandar Donev +1 · 1 citation
   Computer Science · Engineering · Physics and Astronomy · #65R20 #76D07 #76T20 #82C31 #FOS: Mathematics #FOS: Physical sciences #Micro and Nano Robotics #Modular Robots and Swarm Intelligence #Numerical Analysis (math.NA) #Robotic Path Planning Algorithms #Soft Condensed Matter (cond-mat.soft)
7. Surface elevation errors in finite element Stokes models for glacier evolution
   2024/08/12 by Bueler, Ed · 1 citation
   #49J40 #65N15 #65N30 #76D07 #76D27 #FOS: Mathematics #FOS: Physical sciences #Geophysics (physics.geo-ph) #Numerical Analysis (math.NA)
8. Computing Stokes flows in periodic channels via rational approximation
   2024/07/20 by Yidan Xue, Xue, Yidan · 1 citation
   Engineering · #41A20 #65N35 #76D07 #Electrohydrodynamics and Fluid Dynamics #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Thin Films #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA)
9. Well-posedness and stability for the two-phase periodic quasistationary Stokes flow
   2024/06/11 by Böhme, Daniel, Matioc, Bogdan-Vasile · 3 citations
   #31A10 #35B35 #35B65 #35K55 #76D07 #Analysis of PDEs (math.AP) #FOS: Mathematics
10. Stokes-Brinkman-Darcy models for fluid-porous systems: derivation, analysis and validation
    2024/04/25 by Linheng Ruan, Iryna Rybak, Ruan, Linheng +1 · 1 citation
    Engineering · #35Q35 #65N08 #76B03 #76D07 #76S05 #FOS: Mathematics #Heat and Mass Transfer in Porous Media #Lattice Boltzmann Simulation Studies #Nanofluid Flow and Heat Transfer #Numerical Analysis (math.NA)
11. A Darcy law with memory by homogenisation for evolving microstructure
    2024/03/13 by Wiedemann, David, Peter, Malte A. · 2 citations
    #35B27 #35R37 #76D07 #76M50 #76S05 #Analysis of PDEs (math.AP) #FOS: Mathematics
12. On the global well-posedness of interface dynamics for gravity Stokes flow
    2024/02/23 by Francisco Gancedo, Rafael Granero-Belinchón, Gancedo, Francisco +3 · 2 citations
    Computer Science · Engineering · Mathematics · #35Q35 #76D03 #76D07 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions
13. Convergence of Arbitrary Lagrangian-Eulerian Second-order Projection Method for the Stokes Equations on an Evolving Domain
    2023/10/12 by Rao, Qiqi, Wang, Jilu, Xie, Yupei · 1 citation
    #65M15 #65M60 #76D07 #FOS: Mathematics #Numerical Analysis (math.NA)
14. A Modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes
    2023/08/05 by Chunmei Wang, Wang, Chunmei, Xiu Ye +3 · 3 citations
    Engineering · #65N15 #65N30 #76D07 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
15. Viscous flow past a translating body with oscillating boundary
    2023/03/16 by Eiter, Thomas, Shibata, Yoshihiro · 1 citation
    #35B10 #35B40 #35Q30 #35R37 #76D05 #76D07 #Analysis of PDEs (math.AP) #FOS: Mathematics
16. Homogenization of the Navier-Stokes equations in perforated domains in the inviscid limit
    2022/09/13 by Höfer, Richard M. · 1 citation
    #35Q30 #35Q31 #76D07 #76M50 #76S05 #76T25 #Analysis of PDEs (math.AP) #FOS: Mathematics
17. Critical local well-posedness for the fully nonlinear Peskin problem
    2021/12/01 by Cameron, Stephen, Strain, Robert M. · 2 citations
    #35C15 #35Q35 #35R11 #35R35 #76D07 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
18. Estimating permeability of 3D micro-CT images by physics-informed CNNs based on DNS
    2021/09/04 by Gärttner, Stephan, Alpak, Faruk O., Meier, Andreas +2 · 1 citation
    #05C21 #68T07 #76D07 #76M10 #76S05 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
19. Lightning Stokes solver
    2021/07/04 by Brubeck, Pablo D., Trefethen, Lloyd N. · 4 citations
    #41A20 #65N35 #76D07 #FOS: Mathematics #Numerical Analysis (math.NA)
20. A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation
    2020/07/08 by Ahmed, Naveed, Barrenechea, Gabriel R., Burman, Erik +3 · 2 citations
    #65N30 #76D07 #FOS: Mathematics #Numerical Analysis (math.NA)
21. Boundary Lebesgue mixed-norm estimates for non-stationary Stokes systems with VMO coefficients
    2019/10/01 by Hongjie Dong, Dong, Hongjie, Doyoon Kim +3 · 1 citation
    Computer Science · Mathematics · #35B45 #35K51 #76D03 #76D07 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
22. Weak and stationary solutions to a Cahn-Hilliard-Brinkman model with singular potentials and source terms
    2019/09/05 by Ebenbeck, Matthias, Lam, Kei Fong · 2 citations
    #35D30 #35J61 #35K35 #35Q92 #76D07 #92C50 #Analysis of PDEs (math.AP) #FOS: Mathematics
23. Induced charge electroosmotic flow with finite ion size and solvation\n effects
    2019/01/21 by Jürgen Fuhrmann, Clemens Guhlke, Fuhrmann, Jürgen +7 · 1 citation
    Engineering · #65N08 #65N30 #76D07 #78A57 #Chemical Physics (physics.chem-ph) #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fuel Cells and Related Materials #Microfluidic and Capillary Electrophoresis Applications #Nanopore and Nanochannel Transport Studies
24. On a Cahn-Hilliard-Brinkman model for tumour growth and its singular limits
    2018/11/16 by Matthias Ebenbeck, Harald Garcke, Ebenbeck, Matthias +1 · 1 citation
    Computer Science · Mathematics · #35D30 #35K35 #35Q92 #76D07 #92C50 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Nonlinear Partial Differential Equations
25. Homogenization for the Stokes equations in randomly perforated domains\n under almost minimal assumptions on the size of the holes
    2018/09/12 by Arianna Giunti, Richard M. Höfer, Giunti, Arianna +1 · 1 citation
    Computer Science · Engineering · Mathematics · #35B27 #35J15 #35J57 #60F15 #60G55 #76D07 #76M50 #76S05 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Lattice Boltzmann Simulation Studies #Numerical methods in inverse problems
26. Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with\n chemotaxis
    2018/07/02 by Matthias Ebenbeck, Harald Garcke, Ebenbeck, Matthias +1 · 6 citations
    Computer Science · Materials Science · #35D30 #35K35 #35Q92 #76D07 #92C50 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Solidification and crystal growth phenomena
27. Mixed-norm L_p-estimates for non-stationary Stokes systems with singular VMO coefficients and applications
    2018/05/10 by Hongjie Dong, Dong, H., Tuoc Phan +1 · 1 citation
    Mathematics · #35K40 #76D05 #76D07 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Primary: 76D03 #Secondary: 35K67
28. A time dependent Stokes interface problem: well-posedness and space-time finite element discretization
    2018/03/16 by Voulis, Igor, Reusken, Arnold · 1 citation
    #76D07 #76M10 #76T10 #FOS: Mathematics #Numerical Analysis (math.NA)
29. An advection-robust Hybrid High-Order method for the Oseen problem
    2017/12/07 by Aghili, Joubine, Di Pietro, Daniele A. · 1 citation
    #65N08 #65N12 #65N30 #76D07 #FOS: Mathematics #Numerical Analysis (math.NA)
30. Well-posedness and global behavior of the Peskin problem of an immersed elastic filament in Stokes flow
    2017/04/27 by Yoichiro Mori, Mori, Yoichiro, Analise Rodenberg +3 · 2 citations
    Engineering · Mathematics · Physics and Astronomy · #35K58 #35Q35 #74F10 #76D07 #Analysis of PDEs (math.AP) #FOS: Mathematics #Lattice Boltzmann Simulation Studies #Micro and Nano Robotics #Navier-Stokes equation solutions

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