Estimation of the accuracy of finite-element Petrov-Galerkin method in integrating the one-dimensional stationary convection-diffusion-reaction equation

DOI10.1007/s11253-015-1135-8zbMath1373.76102OpenAlexW2228432717MaRDI QIDQ1676275

S. V. Sirik

Publication date: 6 November 2017

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-015-1135-8

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)

Related Items

A note on the application of the Guermond-Pasquetti mass lumping correction technique for convection-diffusion problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stabilized methods for compressible flows
• Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion
• An analysis of the Petrov - Galerkin finite element method
• Some observations on Babuška and Brezzi theories
• Numerical evaluation of finite element methods in convection-diffusion problems
• Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of `Numerische Behandlung partieller Differentialgleichungen' by Martin Stynes.
• IsoGeometric Analysis: Stable elements for the 2D Stokes equation
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Inf-sup testing of upwind methods
• NUMERICAL EVALUATION OF FEM WITH APPLICATION TO THE 1-D ADVECTION–DIFFUSION PROBLEM
• Tridiagonal Toeplitz matrices: properties and novel applications
• Applications of functional analysis and operator theory