Boundary Element Method For Solving The Heat Flow In Resistive Switching Devices With Different Thermal Conductivity

Abstract

In thisthesis wesolved theheat equation inresistive switchingdevices usingboundary element method. Inthismethodtheheatequationwiththeboundaryconditionconvertedintotheboundary integral equation by applying the Green’s second identity and using fundamental solution. Then, the boundary of the domain was divided into finite small boundary elements. By adding up the integral over each element, the BIE is discretized into system of linear equation. Then we solved this system of equation to obtain, both the temperature and the normal derivative of the temperature(flux) distribution on the boundary of the device. Finally, we used this boundaryvaluesinboundaryintegralequationtodeterminethetemperaturedistributionatanypoint inside the domain.