An extended finite element method for coupled Darcy–Stokes problems
From MaRDI portal
Publication:6071421
DOI10.1002/nme.7047OpenAlexW4281488083MaRDI QIDQ6071421
Publication date: 23 November 2023
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.7047
Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Cites Work
- Unnamed Item
- Unnamed Item
- A mixed and nonconforming FEM with nonmatching meshes for a coupled Stokes-Darcy model
- Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
- A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
- Preconditioning techniques for a mixed Stokes/Darcy model in porous medium applications
- Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
- Two families of mixed finite elements for second order elliptic problems
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- A new unfitted stabilized Nitsche's finite element method for Stokes interface problems
- An analysis on the penalty and Nitsche's methods for the Stokes-Darcy system with a curved interface
- An extended mixed finite element method for elliptic interface problems
- High-order extended finite element methods for solving interface problems
- A discontinuous Galerkin method for the coupled Stokes and Darcy problem
- A nonconforming Nitsche's extended finite element method for Stokes interface problems
- Stabilized extended finite elements for the approximation of saddle point problems with unfitted interfaces
- A unified stabilized method for Stokes' and Darcy's equations
- Some low order nonconforming mixed finite elements combined with Raviart-Thomas elements for a coupled Stokes-Darcy model
- A finite element method for the simulation of strong and weak discontinuities in solid mechanics
- A cut finite element method for a Stokes interface problem
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Analysis of an XFEM Discretization for Stokes Interface Problems
- A mixed finite element method for Darcy flow in fractured porous media with non-matching grids
- An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions
- Numerical Solution to a Mixed Navier–Stokes/Darcy Model by the Two-Grid Approach
- Convergence analysis of finite element methods for H(div;Ω)-elliptic interface problems
- The extended/generalized finite element method: An overview of the method and its applications
- Numerical Methods for Two-phase Incompressible Flows
- On the Boundary Condition at the Surface of a Porous Medium
- Mortar finite element discretization of a model coupling Darcy and Stokes equations
- A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow
- Finite Element Methods for Navier-Stokes Equations
- Mixed and Hybrid Finite Element Methods
- Elastic crack growth in finite elements with minimal remeshing
- Coupling Fluid Flow with Porous Media Flow
- Locally Conservative Coupling of Stokes and Darcy Flows
- Korn's inequalities for piecewise $H^1$ vector fields
- An Unfitted hp-Interface Penalty Finite Element Method for Elliptic Interface Problems
- Well Posedness of Fully Coupled Fracture/Bulk Darcy Flow with XFEM
This page was built for publication: An extended finite element method for coupled Darcy–Stokes problems
