Spectral decomposition in advection-diffusion analysis by finite element methods

DOI10.1016/0045-7825(79)90044-6zbMath0403.76072OpenAlexW1985815995MaRDI QIDQ1256373

R. E. Nickell, Gilbert Strang, David K. Gartling

Publication date: 1979

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc1192251/

zbMATH Keywords

Heat TransferFinite Element MethodsBurgers' EquationAdvection-Diffusion AnalysisCrank-Nicolson Direct IntegrationMode Superposition MethodSpectral Decomposition

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Software, source code, etc. for problems pertaining to fluid mechanics (76-04) Diffusion and convection (76Rxx)

Related Items (4)

A new methodology for computing ionic profiles and disjoining pressure in swelling porous media ⋮ Lanczos and Arnoldi methods for the solution of convection-diffusion equations ⋮ A Collocation Solution For Burgers Equation Using Quadratic B-Spline Finite Elements ⋮ Approximation of Burgers' equation by pseudo-spectral methods

Cites Work

• Unnamed Item
• Nonlinear dynamics by mode superposition
• Application of the finite element method to convection heat transfer between parallel planes
• A finite element convergence study for accelerating flow problems
• Convective Difference Schemes
• Causes of instabilities in numerial integration techniques
• An Algorithm for Generalized Matrix Eigenvalue Problems
• A table of solutions of the one-dimensional Burgers equation

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