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This lecture covers the application of the finite elements method in a 2D scenario, focusing on the distribution of temperatures on a square plate subdivided into finite elements. It discusses the strong and weak forms of the problem, conductivity matrix, energy-heat sources, and the assembly of the die. The lecture also addresses the calculation of components of the conductivity matrix, global conductivity, and the reduced system of equations. It concludes with solutions for temperature distribution using bilinear finite elements, ensuring good accuracy for different network configurations.