Combining Deflation and Nested Iteration for Computing Multiple Solutions of Nonlinear Variational Problems.

Adler, James H.

Emerson, David B.

MacLachlan, Scott P.

Farrell, Patrick E.

2017.

Description
  • Many physical systems support multiple equilibrium states that enable their use in modern science and engineering applications. Having the ability to reliably compute such states facilitates more accurate physical analysis and understanding of experimental behavior. This paper adapts and extends a deflation technique for the computation of multiple distinct solutions in the context of nonlinear sy... read more
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  • J. H. Adler, D. B. Emerson, P. E. Farrell, and S. P. MacLachlan. Combining Deflation and Nested Iteration for Computing Multiple Solutions of Nonlinear Variational Problems. SIAM J. Sci. Comput. (SISC), 39(1):B29-B52, 2017. DOI:10.1137/16M1058728.
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