Variants of the Finite Element Method for the Parabolic Heat Equation: Comparative Numerical Study

DOI10.1007/978-3-030-39847-7_28zbMath1454.76055arXiv2005.11860OpenAlexW3026110434MaRDI QIDQ5141398

Amr Guaily, Ahmed A. Hamada, Mahmoud Ayyad

Publication date: 18 December 2020

Published in: Recent Advances in Engineering Mathematics and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.11860

zbMATH Keywords

Navier-Stokes equationsGalerkin finite element methodleast-squares finite element methodcollocation finite element method

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Navier-Stokes equations for incompressible viscous fluids (76D05) Proceedings, conferences, collections, etc. pertaining to mechanics of deformable solids (74-06) Proceedings, conferences, collections, etc. pertaining to fluid mechanics (76-06) Finite element methods applied to problems in fluid mechanics (76M10) Basic methods in fluid mechanics (76Mxx) Numerical and other methods in solid mechanics (74Sxx) Diffusive and convective heat and mass transfer, heat flow (80A19)

Uses Software

• FEAPpv

Cites Work

• Galerkin finite element methods for parabolic problems
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• An \(h\)-\(p\) Taylor-Galerkin finite element method for compressible Euler equations
• A new finite element formulation for computational fluid dynamics. IX: Fourier analysis of space-time Galerkin/least-squares algorithms
• Analysis of a discontinuous least squares spectral element method
• A NURBS based hybrid collocation-Galerkin method for the analysis of boundary represented solids
• Numerical simulation of blood flow in abdominal aortic aneurysms: effects of blood shear-thinning and viscoelastic properties
• A Weighted Least Squares Method for the Backward-Forward Heat Equation
• A review of least‐squares methods for solving partial differential equations
• Some Collocation-Galerkin Methods for Two-Point Boundary Value Problems
• A collocation finite element method for potential problems in irregular domains
• Finite Element Methods of Least-Squares Type
• Issues Related to Least-Squares Finite Element Methods for the Stokes Equations
• Analysis of Velocity-Flux Least-Squares Principles for the Navier--Stokes Equations: Part II
• A space–time coupled p‐version least‐squares finite element formulation for unsteady fluid dynamics problems
• Analysis of Least-Squares Finite Element Methods for the Navier--Stokes Equations
• Analysis of Velocity-Flux First-Order System Least-Squares Principles for the Navier--Stokes Equations: Part I
• Least squares collocation solution of differential equations on irregularly shaped domains using orthogonal meshes
• The Method of Weighted Residuals and Variational Principles
• Collocation at Gaussian Points
• Trigonometric Interpolation of Empirical and Analytical Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Variants of the Finite Element Method for the Parabolic Heat Equation: Comparative Numerical Study