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Sobolev preconditioning for the Poisson–Boltzmann equation

✍ Scribed by W.B. Richardson Jr.

Book ID
104268251
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
379 KB
Volume
181
Category
Article
ISSN
0045-7825

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✦ Synopsis

This paper presents an overview of least-squares steepest descent using Sobolev gradients for several prototype dierential equations. In the linear case, the method is viewed as a very eective preconditioning strategy for the basic iterative method which arises from steepest descent, in particular, it acts to smooth the Euclidean gradient. Results are given for the one-dimensional Possion± Boltzmann equation from semiconductor device modeling.

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