This research project is focused on finding the true solution of the exterior Dirichlet problem to determine the convergence results for the Spherical Quatrefoil using the Galerkin Method. A mathematical model, based on the Radiosity integral equation will be utilized to investigate the role of incoming light waves for different surfaces with various emissivity and reflectivity functions. Theoretical and computational details of the method will provide sufficient information for designing proper lighting of an interior space inside a habitat that can ultimately be used for future endeavors in Mars exploration.
Ngo, Hien, "Radiosity Integral Equation Model for an Interior Space Illumination Design: Mars Project" (2018). Mathematics Theses. 5.