An analysis on the penalty and Nitsche's methods for the Stokes-Darcy system with a curved interface
type: Item
instance of: scholarly article
title: An analysis on the penalty and Nitsche's methods for the Stokes-Darcy system with a curved interface
zbMATH Open document ID: 1465.76058
author: Guanyu Zhou
author: Takahito Kashiwabara
author: Issei Oikawa
author: Eric T. Chung
author: Ming-Cheng Shiue
published in: Applied Numerical Mathematics
publication date: 2021-06-03T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 7354379
zbMATH Keywords: stability
zbMATH Keywords: optimal convergence
zbMATH Keywords: finite element method
zbMATH Keywords: discontinuous Galerkin method
zbMATH Keywords: error estimate
MaRDI profile type: Publication
full work available at URL: j.apnum.2021.02.006
OpenAlex ID: W3127449402
cites work: Well-posed Stokes/Brinkman and Stokes/Darcy coupling revisited with new jump interface conditions
cites work: A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium
cites work: Coupling Darcy and Stokes equations for porous media with cracks
cites work: Korn's inequalities for piecewise $H^1$ vector fields
cites work: Stabilized Crouzeix‐Raviart element for the Darcy‐Stokes problem
cites work: A unified stabilized method for Stokes' and Darcy's equations
cites work: Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition
cites work: Finite Element Approximations for Stokes–Darcy Flow with Beavers–Joseph Interface Conditions
cites work: Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
cites work: Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations
cites work: Q4162607
cites work: Local Discontinuous Galerkin Methods for the Stokes System
cites work: Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
cites work: Robust numerical approximation of coupled Stokes and Darcy's flows applied to vascular hemodynamics and biochemical transport
cites work: Numerical approximation with Nitsche's coupling of transient Stokes/Darcy's flow problems applied to hemodynamics
cites work: Elliptic partial differential equations of second order
cites work: Mathematical and numerical models for coupling surface and groundwater flows
cites work: Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
cites work: Robin–Robin Domain Decomposition Methods for the Stokes–Darcy Coupling
cites work: Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous Medium
cites work: A strongly conservative hybrid DG/mixed FEM for the coupling of Stokes and Darcy flow
cites work: A conforming mixed finite-element method for the coupling of fluid flow with porous media flow
cites work: Convergence of a family of Galerkin discretizations for the Stokes-Darcy coupled problem
cites work: Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: DG Approximation of Coupled Navier–Stokes and Darcy Equations by Beaver–Joseph–Saffman Interface Condition
cites work: A Domain Decomposition Method for the Steady-State Navier--Stokes--Darcy Model with Beavers--Joseph Interface Condition
cites work: A strongly conservative finite element method for the coupling of Stokes and Darcy flow
cites work: Unified finite element discretizations of coupled Darcy-Stokes flow
cites work: Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition
cites work: Penalty method with Crouzeix–Raviart approximation for the Stokes equations under slip boundary condition
cites work: Coupling Fluid Flow with Porous Media Flow
cites work: A stabilized finite volume element method for a coupled Stokes-Darcy problem
cites work: Strong coupling of finite element methods for the Stokes-Darcy problem
cites work: Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier–Stokes equations
cites work: A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition
cites work: Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
cites work: A unified stabilized mixed finite element method for coupling Stokes and Darcy flows
cites work: Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition
cites work: Coupling Stokes–Darcy Flow with Transport
cites work: Q3760934
cites work: Stabilized finite element method for the stationary mixed Stokes-Darcy problem
cites work: Nitsche's type stabilized finite element method for the fully mixed Stokes-Darcy problem with Beavers-Joseph conditions
cites work: A stabilized Crouzeix‐Raviart element method for coupling stokes and darcy‐forchheimer flows
DOI: 10.1016/J.APNUM.2021.02.006
Recommended article: Analysis of a stabilized penalty-free Nitsche method for the Brinkman, Stokes, and Darcy problems
Recommended article: The asymptotic analysis of a Darcy-Stokes system coupled through a curved interface
Recommended article: Analysis of the iterative penalty method for the Stokes equations
Recommended article: Q3761905
Recommended article: A Modified Penalty Method for Stokes Equations and Its Applications to Navier–Stokes Equations
Recommended article: Analysis of the Stokes–Darcy problem with generalised interface conditions
Recommended article: Q4729515
Recommended article: Q3471757
Recommended article: Q5862219
Recommended article: Q4998779