Combinatorial Ricci and Calabi flows on discrete conformal structures over surfaces with boundary are proven to converge exponentially to prescribed boundary lengths, globally for two structure classes and locally for the others.
Ge, Combinatorial methods and geometric equations , Thesis (Ph.D.)-Peking University, Bei- jing
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Discrete conformal structures on surfaces with boundary (III) -- Deformation
Combinatorial Ricci and Calabi flows on discrete conformal structures over surfaces with boundary are proven to converge exponentially to prescribed boundary lengths, globally for two structure classes and locally for the others.