Articles techniques et présentations

Partial differential equations (PDEs) govern many phenomena in nature. Solving optimization problems which comprises the solution of large number of PDEs, is expensive concerning time and memory. Therefore, to reduce the solution cost, original problem is transformed to a corresponding stochastic optimization problem, which can be solved using optimization algorithms for stochastic problems. Microwave imaging for breast cancer detection with multiple inputs and outputs is an example of this type of problems. The RF Module in COMSOL Multiphysics® is used to solve this problem, and the effect of scatterer on electromagnetic field is shown in the figure. Also, LiveLink™ for MATLAB® and COMSOL were used to implement optimization problem, and defined cost function for different values of the optimization parameter is calculated.