Title of article :
Numerical solutions of the m-membranes problem
Author/Authors :
Bozorgnia، نويسنده , , F. and Franek، نويسنده , , Marzena، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Abstract :
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.
Keywords :
Free boundary problems , Quadratic minimization , m-Membranes problems
Journal title :
Communications in Nonlinear Science and Numerical Simulation
Journal title :
Communications in Nonlinear Science and Numerical Simulation