The chapel, in particular its facade, and its interior, reminds me of the best of Italian Renaissance Architecture, especially the work of Lorenzo Brunelleschi (who is known best for the dome on the Duomo in Florence). I took an Art History class on Italian Renaissance Architecture in college, and the interior reminds me of Brunelleschi's design of Santo Spirito. Compare the two:
The facade reminds me of the Venetian churches designed by Andrea Palladio. Compare the chapel to San Giorgio Maggiore: