Pseudospectral Least Squares Method for Stokes--Darcy Equations

DOI10.1137/140954350zbMath1312.76046OpenAlexW261270725MaRDI QIDQ5253770

Peyman Hessari

Publication date: 28 May 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140954350

zbMATH Keywords

pseudospectral methodinterface problemcoupled Stokes-Darcy equationfirst order system least squares method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Navier-Stokes equations (35Q30) Iterative numerical methods for linear systems (65F10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items

New decoupled method for the evolutionary dual-porosity-Stokes model with Beavers-Joseph interface conditions, A stabilized finite volume element method for a coupled Stokes-Darcy problem, Convergence of the MAC scheme for the Stokes/Darcy coupling problem, Numerical analysis of interface hybrid difference methods for elliptic interface equations, A MAC scheme for coupled Stokes-Darcy equations on non-uniform grids, Adaptive partitioned methods for the time-accurate approximation of the evolutionary Stokes-Darcy system, A second-order adaptive time filter algorithm with different subdomain variable time steps for the evolutionary Stokes/Darcy model, Block Preconditioners for the Marker-and-Cell Discretization of the Stokes–Darcy Equations, A weak Galerkin finite element method for a coupled Stokes-Darcy problem on general meshes, A Crank-Nicolson discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem, Uncoupling evolutionary groundwater-surface water flows: stabilized mixed methods in both porous media and fluid regions, A hybrid high-order method for a coupled Stokes-Darcy problem on general meshes, A simple projection method for the coupled Navier-Stokes and Darcy flows, Discontinuous finite volume element method for a coupled non-stationary Stokes-Darcy problem, First order system least squares pseudo-spectral method for Stokes-Darcy equations, Least squares spectral method for the two-dimensional Stokes interface problems, Least-squares spectral method for velocity-vorticity-pressure form of the Stokes equations, Pseudo-spectral least squares method for linear elasticity, A stabilized mixed finite element method for coupled Stokes and Darcy flows with transport

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• 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
• Finite Element Methods for Navier-Stokes Equations
• Coupling Fluid Flow with Porous Media Flow
• Pseudospectral Least-Squares Method for the Second-Order Elliptic Boundary Value Problem
• On The Interface Boundary Condition of Beavers, Joseph, and Saffman
• Locally Conservative Coupling of Stokes and Darcy Flows
• A Robust Finite Element Method for Darcy--Stokes Flow
• PRECONDITIONED SPECTRAL COLLOCATION METHOD ON CURVED ELEMENT DOMAINS USING THE GORDON-HALL TRANSFORMATION
• Stabilized Crouzeix‐Raviart element for the Darcy‐Stokes problem