A hybrid high-order method for a coupled Stokes-Darcy problem on general meshes
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Publication:2222980
DOI10.1016/j.jcp.2019.109064zbMath1453.76085OpenAlexW2983519347WikidataQ126835825 ScholiaQ126835825MaRDI QIDQ2222980
Rui Li, Liquan Mei, Yong-Chao Zhang
Publication date: 28 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2019.109064
error estimatesgeneral mesheshybrid high-order methodBeavers-Joseph-Saffman conditionStokes-Darcy problem
Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
- Spectral methods based on new formulations for coupled Stokes and Darcy equations
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations
- A two-grid decoupling method for the mixed Stokes-Darcy model
- An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators
- Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
- Mathematical aspects of discontinuous Galerkin methods.
- Coupling nonlinear Stokes and Darcy flow using mortar finite elements
- A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes-Darcy coupled problem
- Mimetic finite difference method
- Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations
- A mixed finite volume scheme for anisotropic diffusion problems on any grid
- A strongly conservative finite element method for the coupling of Stokes and Darcy flow
- Boundary integral solutions of coupled Stokes and Darcy flows
- Stokes-Darcy boundary integral solutions using preconditioners
- A third Strang lemma and an Aubin-Nitsche trick for schemes in fully discrete formulation
- A hybrid high-order locking-free method for linear elasticity on general meshes
- A weak Galerkin finite element method for a coupled Stokes-Darcy problem on general meshes
- Discontinuous skeletal gradient discretisation methods on polytopal meshes
- Discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem
- A weak Galerkin finite element method for second-order elliptic problems
- A hybrid high-order discretisation of the Brinkman problem robust in the Darcy and Stokes limits
- A divergence free weak virtual element method for the Stokes-Darcy problem on general meshes
- Hybrid high-order methods for variable-diffusion problems on general meshes
- A discontinuous skeletal method for the viscosity-dependent Stokes problem
- A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans
- Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition
- Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes-Darcy flows on polygonal and polyhedral grids
- Virtual Element Method for general second-order elliptic problems on polygonal meshes
- A Hybrid High-Order Method for the Cahn--Hilliard problem in Mixed Form
- Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods
- Mimetic finite difference approximation of flows in fractured porous media
- A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes
- Discontinuous finite volume methods for the stationary Stokes–Darcy problem
- Static Condensation, Hybridization, and the Devising of the HDG Methods
- A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes
- Ws,p-approximation properties of elliptic projectors on polynomial spaces, with application to the error analysis of a Hybrid High-Order discretisation of Leray–Lions problems
- Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
- Finite Element Approximations for Stokes–Darcy Flow with Beavers–Joseph Interface Conditions
- A Residual-Based A Posteriori Error Estimator for the Stokes–Darcy Coupled Problem
- First-Order System Least Squares for Coupled Stokes–Darcy Flow
- On the Boundary Condition at the Surface of a Porous Medium
- Weak Galerkin Finite Element Methods on Polytopal Meshes
- Robin–Robin Domain Decomposition Methods for the Stokes–Darcy Coupling
- A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- Asymptotic and numerical modelling of flows in fractured porous media
- Mixed and Hybrid Finite Element Methods
- Coupling Fluid Flow with Porous Media Flow
- Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes
- A Hybrid High-Order Method for Darcy Flows in Fractured Porous Media
- Locally Conservative Coupling of Stokes and Darcy Flows
- Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes
- Weak Galerkin method for the coupled Darcy–Stokes flow
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater--Surface Water Flows
- Strong coupling of finite element methods for the Stokes-Darcy problem
- Pseudospectral Least Squares Method for Stokes--Darcy Equations
- A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS
- Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
