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Galerkin Discontinuous

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  Introduction: Balanced Discontinuities and the ModelCore of the TalkFinal Remarks and Future Work Name of Your TalkIt Can Have More than One Line Name of the Speaker 1 NAME OF THE EVENTHosting Institution for the EventDates dd-dd, mm, yyyy 1 Escuela de Matem´aticas, Universidad Nacional de Colombia, Sede Medell´ın.e-mail:  youremail@unal.edu.co Name of the Speaker https://sites.google.com/a/unal.edu.co/yourwebaddress/   Introduction: Balanced Discontinuities and the ModelCore of the TalkFinal Remarks and Future Work Outline 1  Introduction: Balanced Discontinuities and the Model 2  Core of the Talk 3  Final Remarks and Future Work Name of the Speaker https://sites.google.com/a/unal.edu.co/yourwebaddress/   Introduction: Balanced Discontinuities and the ModelCore of the TalkFinal Remarks and Future Work Try to Introduce The Topic with a Graph Name of the Speaker https://sites.google.com/a/unal.edu.co/yourwebaddress/   Introduction: Balanced Discontinuities and the ModelCore of the TalkFinal Remarks and Future Work Use Colors For Heavily Loaded Equationsin Order To Drive the Audience’s Attention Formulation of the Continuous Solution Find  ( u ,  p  )  ∈  V   × Q   :   Ω 1 u 1 · v 1 +   Ω 2 u 2 · v 2 −   Ω 1 p  1 ∇· v 1 +   Ω 2 ∇ p  2 · v 2 +   Γ p  2  v 1 ·   n    dS   =  −   Ω g · v  (1a)   Ω 1 ∇· u 1 q   1 −   Ω 2 u 2 ·∇ q   2 −   Γ  u 1 ·   n   q  2 dS   =   Ω F q   ∀ ( v ,  q  )  ∈  V   × Q  .  (1b) Formulation of the Discontinuous Solution Find  ( u h  ,  p  h  )  ∈  V   × Q   :   Ω 1 u 1 h   · v 1 +   Ω 2 u 2 h   · v 2 −   Ω 1 p  1 h  ∇· v 1 +   Ω 2 ∇ p  2 h   · v 2 +  σ ∈ET   1 | σ |   σ p  2 h   dS    σ  v 1 ·   n    dS   =  −   Ω g · v  (2a)   Ω 1 ∇· u 1 h   q   1 −   Ω 2 u 2 h   ·∇ q   2 −  σ ∈ET   1 | σ |   σ  u 1 h   ·   n   dS    σ q  2 dS   =   Ω F q  ∀ ( v ,  q  )  ∈  V   × Q  .  (2b) Name of the Speaker https://sites.google.com/a/unal.edu.co/yourwebaddress/ 
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