Solution of the non-linear parabolic problems using nonlinear complementarity algorithm (fda-ncp)
Mecánica Computacional, 2010•amcaonline.org.ar
Parabolic type problems involving a variational and complementarity formulation arise in
mathematical models of several applications in Engineering, Economy, Biology and different
branches of Physics. These kinds of problems present several analytical and numerical
difficulties related, for example, to time evolution and moving boundary. In this work we
implement a numerical method based on the finite difference scheme for time evolution and
nonlinear complementarity algorithm (FDA-NCP) for solving the problem at each time step …
mathematical models of several applications in Engineering, Economy, Biology and different
branches of Physics. These kinds of problems present several analytical and numerical
difficulties related, for example, to time evolution and moving boundary. In this work we
implement a numerical method based on the finite difference scheme for time evolution and
nonlinear complementarity algorithm (FDA-NCP) for solving the problem at each time step …
Abstract
Parabolic type problems involving a variational and complementarity formulation arise in mathematical models of several applications in Engineering, Economy, Biology and different branches of Physics. These kinds of problems present several analytical and numerical difficulties related, for example, to time evolution and moving boundary.
In this work we implement a numerical method based on the finite difference scheme for time evolution and nonlinear complementarity algorithm (FDA-NCP) for solving the problem at each time step. We use the implicit finite difference scheme with adaptative time step implementation which allows us to use bigger time steps and speed up the simulations. One of the advantages using the FDA-NCP is its global convergence.
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