A new error bound for reduced basis approximation of parabolic partial differential equations
We consider a space–time variational formulation for linear parabolic partial differential equations. We introduce an associated Petrov–Galerkin truth finite element discretization with favorable discrete inf-sup constant β[subscript δ]:β[subscript δ] is unity for the heat equation; β[subscript δ] g...
Main Authors: | Urban, Karsten, Patera, Anthony T. |
---|---|
Other Authors: | Massachusetts Institute of Technology. Department of Mechanical Engineering |
Format: | Article |
Language: | en_US |
Published: |
Elsevier
2015
|
Online Access: | http://hdl.handle.net/1721.1/99384 https://orcid.org/0000-0002-2631-6463 |
Similar Items
-
An improved error bound for reduced basis approximation of linear parabolic problems
by: Urban, Karsten, et al.
Published: (2015) -
Reduced-basis approximation a posteriori error estimation for parabolic partial differential equations
by: Grepl, Martin A. (Martin Alexander), 1974-
Published: (2006) -
Reduced-Basis Approximation of the Viscosity-Parametrized Incompressible Navier-Stokes Equation: Rigorous A Posteriori Error Bounds
by: Veroy, K., et al.
Published: (2003) -
Reduced-Basis Output Bound Methods for Parametrized Partial Differential Equations
by: Prud'homme, C., et al.
Published: (2003) -
Reduced Basis Approximation and a Posteriori Error Estimation for the Parametrized Unsteady Boussinesq Equations
by: Knezevic, David, et al.
Published: (2013)