NUMERICAL EVALUATION OF FEM WITH APPLICATION TO THE 1-D ADVECTION–DIFFUSION PROBLEM

DOI10.1142/S0218202502001672zbMath1029.65084WikidataQ128028590 ScholiaQ128028590MaRDI QIDQ4798960

Giancarlo Sangalli

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

stabilizationefficiencyfinite elementadvection-diffusion equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Complexity and performance of numerical algorithms (65Y20) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (2)

Estimation of the accuracy of finite-element Petrov-Galerkin method in integrating the one-dimensional stationary convection-diffusion-reaction equation ⋮ Nonlinear convection-dispersion models with a distributed pollutant source. I: Direct initial boundary value problems

Cites Work

• Stabilized finite element methods. I.: Application to the advective- diffusive model
• Numerical evaluation of finite element methods in convection-diffusion problems
• Global and Local Error Analysis for the Residual-Free Bubbles Method Applied to Advection-Dominated Problems
• The inf-sup test
• CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
• On evaluating the inf-sup condition for plate bending elements
• Inf-sup testing of upwind methods

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