Piecewise linear approach to the Stokes equations in 3 D
type: Item
instance of: scholarly article
title: Piecewise linear approach to the Stokes equations in 3 D
zbMATH Open document ID: 0829.76047
DOI: 10.1016/0096-3003(94)00176-5
published in: Applied Mathematics and Computation
publication date: 1995-11-09T00:00:00Z
review text: A least-squares method for three-dimensional problems is proposed. This method leads to a minimization problem and thus it is not subject to the restriction of the Ladyzhenskaya-Babuska-Brezzi condition. Piecewise linear elements can be applied for the approximation functions; the simplest and natural elements are easy to program and achieve optimal rates of convergene.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 803675
zbMATH Keywords: least-squares method
zbMATH Keywords: minimization problem
zbMATH Keywords: Ladyzhenskaya-Babuska-Brezzi condition
zbMATH Keywords: convergene
author: Ching-Lung Chang
MaRDI profile type: Publication
full work available at URL: 0096-3003(94)00176-5
OpenAlex ID: W2067064603
cites work: An error analysis of least-squares finite element method of velocity- pressure-vorticity formulation for Stokes problem
cites work: Least-squares finite elements for the Stokes problem
cites work: Least-squares finite element method for fluid dynamics
cites work: Least Squares Methods for Elliptic Systems
cites work: A Comparative Study of Finite Element and Finite Difference Methods for Cauchy-Riemann Type Equations
cites work: Finite element approximation of vector fields given by curl and divergence
cites work: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
cites work: Q4179263
cites work: Least square‐finite element for elasto‐static problems. Use of ‘reduced’ integration
cites work: The finite element method with Lagrangian multipliers
cites work: Stabilized mixed methods for the Stokes problem
cites work: Q3672342
cites work: Q3470840
cites work: A Weighted Least Squares Method for the Backward-Forward Heat Equation
cites work: Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems
cites work: A Generalized Ritz-Least-Squares Method for Dirichlet Problems
cites work: Least Squares Methods for 2mth Order Elliptic Boundary-Value Problems
cites work: Least-squares finite elements for first-order hyperbolic systems
cites work: A finite element method for first order elliptic systems in three dimensions
cites work: A Subdomain–Galerkin/Least Squares Method for First-Order Elliptic Systems in the Plane
cites work: On finite element methods of the least squares type
cites work: An analysis of a mixed finite element method for the Navier-Stokes equations
description: scientific article; zbMATH DE number 803675