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Title:

Nonlinear algebraic multigrid for constrained solid mechanics problems using Trilinos

Document type:
Report / Forschungsbericht
Author(s):
Gee, M.W; Tuminaro, R.S.
Volume:
SAND2006-2256
Abstract:
The application of the finite element method to nonlinear solid mechanics problems results in the neccessity to repeatedly solve a large nonlinear set of equations. In this paper we limit ourself to problems arising in constrained solid mechanics problems. It is common to apply some variant of Newton?s method or a Newton? Krylov method to such problems. Often, an analytic Jacobian matrix is formed and used in the above mentioned methods. However, if no analytic Jacobian is given, Newton methods...     »
Keywords:
nonlinear multigrid, algebraic multigrid, smoothed aggregation, nonlinear systems of equations, full approximation scheme, nonlinear conjugate gradients, Newton's method
Contracting organization:
Sandia National Laboratories
Year:
2006
Language:
en
Semester:
SS 06
Format:
Text
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