Not just a simple Polygon
Philip’s work involved generating curvilinear meshes. His specific focus was extending his research in adaptive mesh generation, based on the Nash Embedding Theorem. Dr. Xevi Roca’s group recently developed a method to generate curvilinear meshes by weakly imposing the geometric boundary conditions, thus ensuring a valid mesh is obtained. Philip began investigating this approach and realized that the embedded manifold can be used to guide the curvilinear meshing problem, giving an alternate formulation which created a convex optimization problem. This resolution became easier to solve than the previous approach.
Work life balance requires Cacaolat
Philip quickly adopted the Spanish-influenced relaxed work life balance. He took his bike everywhere, whether it be to commute, to the top of Montjuic or to the beach to relax and read on a Friday evening! Philip also explored hiking on the weekends, visiting Montserrat or hitchhiking to les Guilleries. He even took some time off to hike the Dolomites in Italy. As a Type I diabetic, Philip grew fond of Catalunya’s famous sugary Cacaolat to treat his occasional hypoglycemia. After achieving his work goals within the first month of the research internship, he realized how effective a proper work life balance is in being productive. His newly adopted attitude has had a continued influence in his approach to his doctoral research.