Singularities near the corner of bodies like the trailing edge of an airfoil by the fictitious domain method with Lagrange multipliers are analyzed.

Error analysis of the fictitious domain method for the arabolic problem;

Lagrange-multiplier based fictitious domain method for the Dirichlet problem for a class of elliptic operators is discussed and the resulting saddle point problem is solved via a preconditioned conjugate gradient algorithm.

In the thesis, we have reviewed the development and applications of the Fictitious Domain (FD) method and the Large Eddy Simulation (LES).

Decision-making on optimal resource allocation in regional virtual enterprises alliance based on RST;

In view of the state, cooperation mechanism and strategy of small & middle enterprise alliance, from the special perspective of the main demand, this dissertation investigates the alliance mechanism driven by the multi-agent demand of regional virtual enterprise and its control strategy.

Based on the special conditions of China s vast land area, obvious uneven distribution of water resources, this paper proposes promoting regional virtual water trade to improve the allocation of the water resources status.