Investigation of diffusion in \(p\)-version ''LSFE'' and ''STLSFE'' formulations
type: Item
instance of: scholarly article
title: Investigation of diffusion in \(p\)-version ''LSFE'' and ''STLSFE'' formulations
zbMATH Open document ID: 0835.76050
DOI: 10.1007/BF00369778
author: J. S. Sandhu
author: K. S. Surana
published in: Computational Mechanics
publication date: 1995-10-29T00:00:00Z
review text: It is demonstrated that when using \(p\)-versions of STLSFE or LSFE, no difficulties are encountered in formulation as well as in the solution procedure. In the \(p\)-versions of STLSFE and LSFE, numerical diffusion can be completely eliminated by mesh refinement and \(p\)-level increase, and the formulations are free of inherent diffusion. Two-dimensional steady convection-diffusion problems are used as exemplary cases. One- dimensional transient problems also considered in the paper include pure advection, convection-diffusion, and Burgers' equations.
reviewed by: Titus Petrila
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76R99
zbMATH DE Number: 797290
zbMATH Keywords: \(p\)-level increase
zbMATH Keywords: Burgers' equation
zbMATH Keywords: numerical diffusion
zbMATH Keywords: mesh refinement
zbMATH Keywords: convection-diffusion problems
zbMATH Keywords: pure advection
MaRDI profile type: Publication
cites work: p‐version least squares finite element formulation for two‐dimensional, incompressible, non‐Newtonian isothermal and non‐isothermal fluid flow
cites work: A space–time coupled p‐version least‐squares finite element formulation for unsteady fluid dynamics problems
cites work: Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
cites work: Variable upwinding and adaptive mesh refinement in convection‐diffusion
cites work: Finite element methods for second order differential equations with significant first derivatives
cites work: Upwinding of high order Galerkin methods in conduction−convection problems
cites work: \(p\)-version least squares finite element formulation for axisymmetric incompressible non-Newtonian fluid flow
cites work: Stabilized finite element methods. I.: Application to the advective- diffusive model
cites work: Finite element solution for advection-dominated thermal flows
cites work: An ‘upwind’ finite element scheme for two‐dimensional convective transport equation
cites work: Quadratic finite element schemes for two-dimensional convective-transport problems
cites work: On quadratic elements in finite element solutions of steady-state convection—diffusion equation
cites work: A simple scheme for developing ‘upwind’ finite elements
cites work: A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
cites work: A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
cites work: A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems
cites work: A note on upwinding and anisotropic balancing dissipation in finite element approximations to convective diffusion problems
cites work: Least-squares characteristics and finite elements for advection-dispersion simulation
cites work: A general theory of finite elements. I. Topological considerations
cites work: Stabilized Finite Element Formulations for Incompressible Flow Computations
cites work: p‐version least‐squares finite element formulation for convection‐diffusion problems
cites work: p‐version least‐squares finite element formulation of Burgers' equation
cites work: p‐version least squares finite element formulation for two‐dimensional, incompressible fluid flow
full work available at URL: https://doi.org/10.1007/bf00369778
OpenAlex ID: W2092594135
description: scientific article; zbMATH DE number 797290