Numerical solutions of the m-membranes problem

作者:Bozorgnia F*; Franek Marzena
来源:Communications in Nonlinear Science & Numerical Simulation, 2011, 16(9): 3475-3485.
DOI:10.1016/j.cnsns.2010.12.001

摘要

In this paper numerical approximation for the m-membrane problem is considered. We make a change of variables that leads to a different expression of the quadratic functional that allows after discretizing the problem to reformulate it as finite dimensional bound constrained quadratic problem. To our knowledge this is the first paper on numerical approximation of the m-membrane problem. We reformulate the m-membrane problem as a bound constraint quadratic minimization problem. The bound constraint quadratic form is solved with the gradient projection method.

  • 出版日期2011-9

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