Abstract
The present chapter is devoted to simplifications of the Galerkin method. With little effort the complexity can be reduced one order of magnitude by introducing “engineering” approximations. It turns out that with well chosen stratagems the accuracy remains essentially equal to what can be obtained with the Galerkin method. The first consists in replacing the four dimensional inner product integral with a two-dimensional point-collocation integral. The second in replacing surface integrals by line integrals. In both cases, the mathematical justification is sometimes tenuous but in our view acceptable. Numerical results confirm the good behaviour.
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References
I.C. Gohberg and I.A. Feldman, Convolution Equations and Projection Methods for Their Solution, Providence, AMS (1974).
Z.Q. Ning and P. Dewilde, “SPIDER: Capacitance Modelling for VLSI Interconnections,” IEEE Trans. CAD of Integrated Circuits and Systems 7(12) pp. 1221–1228 (December, 1988).
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© 1990 Kluwer Academic Publishers
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Dewilde, P., Ning, ZQ. (1990). Point Collocation and Further Simplifications. In: Models for Large Integrated Circuits. The Kluwer International Series in Engineering and Computer Science, vol 103. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1555-1_5
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DOI: https://doi.org/10.1007/978-1-4613-1555-1_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8833-6
Online ISBN: 978-1-4613-1555-1
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