1. ELLIPTIC EQUATIONS WITH SINGULARITIES: A PRIORI ANALYSIS AND NUMERICAL APPROACHES Open Access Author: Li, Hengguang Title: ELLIPTIC EQUATIONS WITH SINGULARITIES: A PRIORI ANALYSIS AND NUMERICAL APPROACHES Graduate Program: Mathematics Keywords: the finite element methodweighted sobolev spacessingularitieselliptic equationsa priori analysisthe multigrid method File: Download HengguangLiDissertation.pdf Committee Members: Victor Nistor, Committee Chair/Co-ChairLudmil Tomov Zikatanov, Committee Chair/Co-ChairJinchao Xu, Committee MemberAnna L Mazzucato, Committee MemberCorina Stefania Drapaca, Committee Member