Finding Stationary Solutions with Constraints using Dynamic Damped Systems

P. Sandin [1], A. Lockby [1], M. Ögren [1], M. Gulliksson [1]
[1]School of Science and Technology, Örebro, Sweden
Published in 2016

We demonstrate a new method of finding stationary solutions to nonlinear equations using a dynamical damped oscillatory model to minimize an energy functional. The method can be used for diverse physical problems and is here demonstrated both for finding stationary solutions to the heat equation and to the nonlinear Schrödinger equation. The method is very general and can handle equations with extra constraints. It is also relatively fast compared to other generally available methods.

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