Abstract
In Part I1 of this paper we have established local stability and convergence criteria for the mixed explicit‐implicit finite element scheme and have shown that the proposed iterative method converges under certain conditions. Part II describes various practical aspects of the solution strategy such as convergence criteria for terminating the iterations, automatic control of time step size, reclassification of nodes from explicit to implicit during execution, estimation of time derivatives, and automatic adjustment of the implicit weight factor. Several examples are included to demonstrate certain aspects of the theory and illustrate the capabilities of the new approach.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 325-344 |
| Number of pages | 20 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 11 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1977 |
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ASJC Scopus subject areas
- Numerical Analysis
- Engineering(all)
- Applied Mathematics
Cite this
Mixed explicit‐implicit iterative finite element scheme for diffusion‐type problems : II. Solution strategy and examples. / Narasimhan, T. N.; Neuman, Shlomo P; Edwards, A. L.
In: International Journal for Numerical Methods in Engineering, Vol. 11, No. 2, 1977, p. 325-344.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Mixed explicit‐implicit iterative finite element scheme for diffusion‐type problems
T2 - II. Solution strategy and examples
AU - Narasimhan, T. N.
AU - Neuman, Shlomo P
AU - Edwards, A. L.
PY - 1977
Y1 - 1977
N2 - In Part I1 of this paper we have established local stability and convergence criteria for the mixed explicit‐implicit finite element scheme and have shown that the proposed iterative method converges under certain conditions. Part II describes various practical aspects of the solution strategy such as convergence criteria for terminating the iterations, automatic control of time step size, reclassification of nodes from explicit to implicit during execution, estimation of time derivatives, and automatic adjustment of the implicit weight factor. Several examples are included to demonstrate certain aspects of the theory and illustrate the capabilities of the new approach.
AB - In Part I1 of this paper we have established local stability and convergence criteria for the mixed explicit‐implicit finite element scheme and have shown that the proposed iterative method converges under certain conditions. Part II describes various practical aspects of the solution strategy such as convergence criteria for terminating the iterations, automatic control of time step size, reclassification of nodes from explicit to implicit during execution, estimation of time derivatives, and automatic adjustment of the implicit weight factor. Several examples are included to demonstrate certain aspects of the theory and illustrate the capabilities of the new approach.
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UR - http://www.scopus.com/inward/citedby.url?scp=84985349901&partnerID=8YFLogxK
U2 - 10.1002/nme.1620110208
DO - 10.1002/nme.1620110208
M3 - Article
AN - SCOPUS:84985349901
VL - 11
SP - 325
EP - 344
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 2
ER -