Optimization of COMSOL model with multiple parameters

Hi. I am trying to find my material parameters using COMSOL MATLAB Livelink. As I don’t have much knowledge about optimization, I will try to explain my problem first. I have 6 independent material parameters ( coefficient of elastic matrix, coefficient of coupling matrix). I have some experimental data sets of a device and I have simulated the device model in COMSOL. The idea is to find the material parameter (Input in the simulation) which will match the simulated result to the experimental result. I wrote an error function which will calculate the square sum difference between simulated and experimental results. I don’t have a specific function but rather a COMSOL model. For each input, COMSOL will run the model and calculate the error function. The goal is the find a set of material parameters which will lead the error function to less than 0.1. Now, with some initial guesses, I can run the model and get a value of the error function. I want to build a MATLAB model which will start from the provided initial guesses and will search automatically for the next set of material parameters until find the best solution. This might be like a problem finding a zero without an equation rather than solving a model again and again. Could someone give me any insight on how should I proceed?