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A goal-oriented reduced basis method for the wave equation in inverse analysis
Khac Chi Hoang, Pierre Kerfriden, Stephane P. A. Bordas
In this paper, we extend the reduced-basis methods developed earlier for wave equations to goal-oriented wave equations with affine parameter dependence. The essential new ingredie…
Space-time goal-oriented reduced basis approximation for linear wave equation
Khac Chi Hoang, Pierre Kerfriden, Stephane P. A. Bordas
In this paper, we study numerically the linear damped second-order hyperbolic partial differential equation (PDE) with affine parameter dependence using a goal-oriented approach by…
On the role of enrichment and statical admissibility of recovered fields in a-posteriori error estimation for enriched finite element methods
Octavio A. González-Estrada, Juan José Ródenas, Stéphane P. A. Bordas +3
Purpose: This paper aims at assessing the effect of (1) the statical admissibility of the recovered solution; (2) the ability of the recovered solution to represent the singular so…