Technical Papers and Presentations

Given any equation L(u)=0, e.g. a partial differential equation, it can be considered to be the stationary solution of a time dependent equation (in fact, time need only to be fictitious time not real time). Our approach is to choose the time dependence in analogy with an oscillating particle system including damping in order to damp out the time derivatives and attain a stationary solution (solution of L(u)=0). The approach has the attractive property of being mesh free since there is no need for an underlying mesh of the particles only a local approximation in order to approximate derivatives.