scientific article; zbMATH DE number 7479349

zbMath1499.65501MaRDI QIDQ5035909

Marina Moraiti, Michaela Kubacki

Publication date: 22 February 2022

Full work available at URL: https://www.global-sci.org/intro/article_detail/ijnam/508.html

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zbMATH Keywords

asymptotic stabilityunconditional stabilitysecond-order accuracygroundwaterStokespartitionedDarcydecoupledsurface water

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs in connection with geophysics (35Q86)

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Cites Work

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• On the quasistatic approximation in the Stokes-Darcy model of groundwater-surface water flows
• Finite element approximation of the Navier-Stokes equations
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions
• Mathematical and numerical models for coupling surface and groundwater flows
• Uncoupling evolutionary groundwater-surface water flows using the Crank-Nicolson Leapfrog method
• Efficient and Long-Time Accurate Second-Order Methods for the Stokes--Darcy System
• On the Boundary Condition at the Surface of a Porous Medium
• Decoupled schemes for a non-stationary mixed Stokes-Darcy model
• Coupling Fluid Flow with Porous Media Flow
• On The Interface Boundary Condition of Beavers, Joseph, and Saffman
• The Mathematical Theory of Finite Element Methods

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