Analysis of least squares pseudo-spectral method for the interface problem of the Navier-Stokes equations

DOI10.1016/j.camwa.2015.01.015zbMath1443.65390OpenAlexW2080618367MaRDI QIDQ2006111

Peyman Hessari, Bongsoo Jang, Beyong-Chun Shin

Publication date: 8 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.01.015

zbMATH Keywords

Navier-Stokes equationpseudo-spectral methodinterface problemfirst order system least squares method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Related Items (3)

Application of direct meshless local <scp>Petrov–Galerkin</scp> method for numerical solution of stochastic elliptic interface problems ⋮ Pseudo-spectral least squares method for linear elasticity ⋮ Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems

Cites Work

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• The least-squares pseudo-spectral method for Navier-Stokes equations
• Spectral collocation and radial basis function methods for one-dimensional interface problems
• Optimal a priori estimates for higher order finite elements for elliptic interface problems
• Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
• Spectral approximation for elliptic boundary value problems
• Numerical analysis of blood flow in the heart
• Numerical simulation of two-dimensional flows over a circular cylinder using the immersed boundary method.
• An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
• Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations
• Numerical solution for elliptic interface problems using spectral element collocation method
• First order system least squares method for the interface problem of the Stokes equations
• Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
• Construction of curvilinear co-ordinate systems and applications to mesh generation
• Approximation of Burgers' equation by pseudo-spectral methods
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
• Analysis of Velocity-Flux First-Order System Least-Squares Principles for the Navier--Stokes Equations: Part I
• An Immersed Interface Method for Incompressible Navier--Stokes Equations
• PRECONDITIONED SPECTRAL COLLOCATION METHOD ON CURVED ELEMENT DOMAINS USING THE GORDON-HALL TRANSFORMATION
• A locally conservative least‐squares method for Darcy flows
• The immersed interface method for the Navier-Stokes equations with singular forces

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