A Spectral Mortar Element Discretization of the Poisson Equation with Mixed Boundary Conditions

2006 ◽  
Vol 30 (2) ◽  
pp. 275-299 ◽  
Author(s):  
Zakaria Belhachmi ◽  
Andreas Karageorghis
2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Eva Llabrés

Abstract We find the most general solution to Chern-Simons AdS3 gravity in Fefferman-Graham gauge. The connections are equivalent to geometries that have a non-trivial curved boundary, characterized by a 2-dimensional vielbein and a spin connection. We define a variational principle for Dirichlet boundary conditions and find the boundary stress tensor in the Chern-Simons formalism. Using this variational principle as the departure point, we show how to treat other choices of boundary conditions in this formalism, such as, including the mixed boundary conditions corresponding to a $$ T\overline{T} $$ T T ¯ -deformation.


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