First order system least squares pseudo-spectral method for Stokes-Darcy equations

DOI10.1016/j.apnum.2017.04.010zbMath1462.65210OpenAlexW2611254885MaRDI QIDQ2012616

Peyman Hessari, Byeong Chun Shin

Publication date: 1 August 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.04.010

zbMATH Keywords

Beavers-Joseph-Saffman interface conditionscoupled Stokes-Darcy equationsfirst-order system least squares methodLegendre and Chebyshev spectral approximation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Flows in porous media; filtration; seepage (76S05) Spectral methods applied to problems in fluid mechanics (76M22) Stokes and related (Oseen, etc.) flows (76D07) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Best approximation, Chebyshev systems (41A50)

Related Items (3)

Analysis of the parareal method with spectral deferred correction method for the Stokes/Darcy equations ⋮ A multi-grid technique for coupling fluid flow with porous media flow ⋮ A two-grid method with backtracking for the mixed Stokes/Darcy model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Least squares spectral method for velocity-flux form of the coupled Stokes-Darcy equations
• The least-squares pseudo-spectral method for Navier-Stokes equations
• Spectral collocation and radial basis function methods for one-dimensional interface problems
• Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
• Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
• Optimal a priori estimates for higher order finite elements for elliptic interface problems
• Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
• Spectral approximation for elliptic boundary value problems
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Numerical solution for elliptic interface problems using spectral element collocation method
• Mathematical and numerical models for coupling surface and groundwater flows
• First order system least squares method for the interface problem of the Stokes equations
• A spectral method for elliptic equations: The Neumann problem
• Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
• First-Order System Least Squares for Coupled Stokes–Darcy Flow
• Construction of curvilinear co-ordinate systems and applications to mesh generation
• On the Boundary Condition at the Surface of a Porous Medium
• Multilevel Boundary Functionals for Least-Squares Mixed Finite Element Methods
• First-Order System Least Squares for the Stokes Equations, with Application to Linear Elasticity
• Coupling Fluid Flow with Porous Media Flow
• Pseudospectral Least-Squares Method for the Second-Order Elliptic Boundary Value Problem
• Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations
• On The Interface Boundary Condition of Beavers, Joseph, and Saffman
• Locally Conservative Coupling of Stokes and Darcy Flows
• Pseudospectral Least Squares Method for Stokes--Darcy Equations
• PRECONDITIONED SPECTRAL COLLOCATION METHOD ON CURVED ELEMENT DOMAINS USING THE GORDON-HALL TRANSFORMATION
• Stabilized Crouzeix‐Raviart element for the Darcy‐Stokes problem

This page was built for publication: First order system least squares pseudo-spectral method for Stokes-Darcy equations