Abstract
A discrete technique of the Schwarz alternating method is presented in this last chapter, to combine the Ritz-Galerkin and finite element methods. This technique is well suited for solving singularity problems in parallel, and requires a little more computation for large overlap of subdomains. The convergence rate of the iterative procedure, which depends upon overlap of subdomains, will be studied. Also a balance strategy will be proposed to couple the iteration number with the element size used in the FEM. For the crack-infinity problem of singularity the total CPU time by the technique in this chapter is much less than that by the nonconforming combination in Chapter 12.
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© 1998 Kluwer Academic Publishers
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Li, Z.C. (1998). Schwarz Alternating Method. In: Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities. Mathematics and Its Applications, vol 444. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3338-8_16
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DOI: https://doi.org/10.1007/978-1-4613-3338-8_16
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-3340-1
Online ISBN: 978-1-4613-3338-8
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