Pseudo-spectral least squares method for linear elasticity

DOI10.1016/j.camwa.2018.06.028zbMath1434.65295OpenAlexW2811372773MaRDI QIDQ2293557

Peyman Hessari

Publication date: 5 February 2020

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.06.028

zbMATH Keywords

linear elasticityleast squares methodLegendre and Chebyshev pseudo-spectral method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Classical linear elasticity (74B05) Spectral and related methods applied to problems in solid mechanics (74S25) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Unnamed Item
• 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 approximation for elliptic boundary value problems
• A regularity result for the Stokes problem in a convex polygon
• Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
• Analysis of least squares pseudo-spectral method for the interface problem of the Navier-Stokes equations
• First order system least squares method for the interface problem of the Stokes equations
• Least-squares spectral method for velocity-vorticity-pressure form of the Stokes equations
• Virtual Elements for Linear Elasticity Problems
• Analysis of a Modified First-Order System Least Squares Method for Linear Elasticity with Improved Momentum Balance
• An adaptive least squares mixed finite element method for the stress-displacement formulation of linear elasticity
• A modified least-squares mixed finite element with improved momentum balance
• Finite Element Methods for Navier-Stokes Equations
• Linear Finite Element Methods for Planar Linear Elasticity
• A Nonconforming Mixed Multigrid Method for the Pure Displacement Problem in Planar Linear Elasticity
• Finite Element Methods of Least-Squares Type
• The least-squares finite element method in elasticity?Part I: Plane stress or strain with drilling degrees of freedom
• First-Order System Least Squares (FOSLS) for Planar Linear Elasticity: Pure Traction Problem
• First-Order System Least Squares for the Stress-Displacement Formulation: Linear Elasticity
• First-Order System Least Squares For Linear Elasticity: Numerical Results
• Least-Squares Methods for Linear Elasticity
• Pseudospectral Least Squares Method for Stokes--Darcy Equations
• PRECONDITIONED SPECTRAL COLLOCATION METHOD ON CURVED ELEMENT DOMAINS USING THE GORDON-HALL TRANSFORMATION
• Least-squares methods for linear elasticity based on a discrete minus one inner product

This page was built for publication: Pseudo-spectral least squares method for linear elasticity