Abstract: A method includes receiving/processing a device geometry data for a device based on a boundary element method (BEM) to generate a surface physics solution and further to generate a first intermediate data; applying additional underlying physics rule to the generated surface solution and generating a second intermediate data; evaluating performance of the device based on the applying; generating a gradient between the evaluated performance of the device and a desired performance; storing the intermediate data in a memory component; applying the additional underlying physics rule to the generated gradient and to the second intermediate data to generate a gradient of the parameters of the physics rules; processing the gradient of the parameters of the physics rules based on the BEM and the first intermediate data to generate a gradient of the generated surface solution; and updating the device geometry data based on the gradient of the generated surface boundary.