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SUMMARY:Implicit-Explicit Runge-Kutta schemes and finite elements with sym
 metric stabilization for advection-diffusion equations
DTSTART:20110601T161500
DTSTAMP:20260407T010113Z
UID:cb2c88da0f4c75b082a628a7eceb8e674f323b424420b4febd84895f
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Erik Burman\nWe analyze a two-stage explicit-implicit Ru
 nge-Kutta scheme for time discretization of advection- diffusion equations
 . Space discretization uses continuous\, piecewise affine finite elements 
 with interelement gradient jump penalty\; discontinuous Galerkin methods c
 an be considered as well.\nThe advective and stabilization operators are t
 reated explicitly\, whereas the diffusion operator is treated implicitly. 
 Our analysis hinges on L2-energy estimates on discrete functions in physic
 al space.\nOur main results are stability and quasi-optimal error estimate
 s for smooth solutions under a standard hyperbolic CFL restriction on the 
 time step\, both in the advection-dominated and in the diffusion-dominated
  regimes. The theory is illustrated by numerical examples.
LOCATION:MA 110
STATUS:CONFIRMED
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