The project deals with the finite element analysis of some important, mostly nonlinear problems. As there is no general numerical method capable of solving an arbitrary nonlinear problem, the attention has to be restricted to concrete problems arising from important applications. Currently, the fields of active interest include problems in electromagnetics, free boundary problems and situations where finite elements are used in connection with integral equations (for example, heat radiation).
The current aim of this project has been to develop user-friendly and numerically efficient methods for nondifferentiable multiobjective optimization. Two versions of an interactive NIMBUS method have been developed and compared. They have also been implemented in both mainframe and World-Wide Web (WWW) environments. The WWW provides a way to centralize computing and distribute interface and have graphical illustrations in the interactive algorithm. The URL is http://nimbus.mit.jyu.fi/. This project has been partly supported by the Academy of Finland.