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Finite elements for the Lichnerowicz equation

Gantumur Tsogtgerel
Mathematics Department, UCSD


The Lichnerowicz equation is a semilinear elliptic equation,which arises as a part of the Einstein constraint system of general relativity.The nonlinearity is not monotone and involves both positive and negativepowers of the unknown. In this talk I will discuss preliminary results onthe well posedness of the Lichnerowicz equation on a bounded domain andaddress some key issues in using finite element methods for solvingthis equation.

Monday, April 21, 2008
11:00AM AP&M 2402