VARIATIONAL STRUCTURE OF THE OPTIMAL ARTIFICIAL DIFFUSION METHOD FOR THE ADVECTION–DIFFUSION EQUATION

DOI10.1142/S0219876210002350zbMath1270.76060OpenAlexW2963223778MaRDI QIDQ2845359

K. B. Nakshatrala, Albert J. Valocchi

Publication date: 30 August 2013

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876210002350

zbMATH Keywords

variational principlesEuler-Lagrange equationsadvection-diffusion equationoptimal artificial diffusion

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Diffusion and convection (76R99)

Related Items (2)

On enforcing maximum principles and achieving element-wise species balance for advection-diffusion-reaction equations under the finite element method ⋮ A Vectorized Regularization Method for Multivalued Parameters Identification

Cites Work

• A multiscale/stabilized finite element method for the advection-diffusion equation
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• Stabilized finite element methods. I.: Application to the advective- diffusive model
• Variational formulation for every linear equation
• Comparison of some finite element methods for solving the diffusion-convection-reaction equation
• An introduction to continuum mechanics
• Revisiting stabilized finite element methods for the advective-diffusive equation
• Dual Variational Principles for a Class of Non-linear Partial Differential Equations
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