Domain decomposition for singular perturbation PDEs
Based on singular perturbation analysis of nonlinear PDEs, we can get an approximate solution of the equation, constructed from a solution of the reduced equation associated with the given nonlinear PDE, and correction terms corresponding to boundary layers and interior layers. By applying the above methods a set of rules to determine a stable partition of a domain can be built. Based on the set of rules the search for all possible stable partitions is implemented by a production system which travels a graph of a given domain. In this paper only elliptic equations are discussed.
Year of publication: |
1994
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Authors: | Li, Peiyuan ; Peskin, Richard L. |
Published in: |
Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 36.1994, 4, p. 443-455
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Publisher: |
Elsevier |
Saved in:
Online Resource
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