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APPML
2005
101views more  APPML 2005»
13 years 4 months ago
A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations
A posteriori error estimates are derived for unsteady convection-diffusion equations discretized with the non-symmetric interior penalty and the local discontinuous Galerkin metho...
Alexandre Ern, Jennifer Proft
SIAMNUM
2010
114views more  SIAMNUM 2010»
12 years 11 months ago
A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation
We derive a posteriori error estimates for the discretization of the heat equation in a unified and fully discrete setting comprising the discontinuous Galerkin, finite volume, mix...
Alexandre Ern, Martin Vohralík
SIAMSC
2010
192views more  SIAMSC 2010»
13 years 3 months ago
Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows
In this article we consider the a posteriori error estimation and adaptive mesh refinement of discontinuous Galerkin finite element approximations of the hydrodynamic stability p...
K. Andrew Cliffe, Edward J. C. Hall, Paul Houston
SIAMSC
2010
157views more  SIAMSC 2010»
13 years 3 months ago
Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations
We propose certified reduced basis methods for the efficient and reliable evaluation of a general output that is implicitly connected to a given parameterized input through the ha...
Yanlai Chen, Jan S. Hesthaven, Yvon Maday, Jer&oac...
SIAMSC
2008
142views more  SIAMSC 2008»
13 years 4 months ago
Multitarget Error Estimation and Adaptivity in Aerodynamic Flow Simulations
Important quantities in aerodynamic flow simulations are the aerodynamic force coefficients including the pressure induced and the viscous stress induced drag, lift and moment coef...
Ralf Hartmann