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On the solution of diffusion—convection equations by the space—time finite element method
Author(s) -
Yu J. R.,
Hsu T. R.
Publication year - 1986
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620230502
Subject(s) - discretization , finite element method , extended finite element method , mixed finite element method , domain (mathematical analysis) , numerical solution of the convection–diffusion equation , convection–diffusion equation , space (punctuation) , mathematics , diffusion , smoothed finite element method , mathematical analysis , boundary knot method , computer science , physics , boundary element method , thermodynamics , operating system
A functional has been developed for the finite element solution of diffusion—convection problems. This functional is suitable for the application of the variational principle on discretization schemes in the space—time domain. This algorithm has shown to be computationally efficient over the conventional finite element discretization in the space domain alone. Numerical examples on one‐dimensional energy transport have been included to illustrate the merit of this technique.