Domain decomposition for singular perturbation PDEs

Peiyuan Li and Richard L. Peskin

Mathematics and Computers in Simulation (MATCOM), 1994, vol. 36, issue 4, 443-455

Abstract: 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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:36:y:1994:i:4:p:443-455

DOI: 10.1016/0378-4754(94)90077-9

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