Vincent Quenneville-Bélair
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Vincent Quenneville-Bélair has a total of 1 co-authors. Here are the top co-authors by number of shared publications:
- Bernardo Cockburn
School of Mathematics, University of Minnesota, Minneapolis, USA
1 shared publication
Latest Publications
- Open Access
- 16 July 2013
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 83 (285) , 65-85
Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation
We present the first a priori error analysis of the hybridizable discontinuous Galerkin methods for the acoustic equation in the time-continuous case. We show that the velocity and the gradient converge with the optimal order of k + 1 k+1 in the L 2 L^2 -norm uniformly in time whenever polynomials of degree k ≥ 0 k \geq 0 are used. Finally, we show how to take advantage of this local postprocessing to obtain an approximation to the original scalar unknown also converging with order k + 2 k+2 for k ≥ 1 k \geq 1 . This puts on firm mathematical ground the numerical results obtained in J. Comput. Phys. 230 (2011), 3695–3718.
- 16 July 2013
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 83 (285) , 65-85
Open AccessUniform-in-time superconvergence of the HDG methods for the acoustic wave equation
We present the first a priori error analysis of the hybridizable discontinuous Galerkin methods for the acoustic equation in the time-continuous case. We show that the velocity and the gradient converge with the optimal order of k + 1 k+1 in the L 2 L^2 -norm uniformly in time whenever polynomials of degree k ≥ 0 k \geq 0 are used. Finally, we show how to take advantage of this local postprocessing to obtain an approximation to the original scalar unknown also converging with order k + 2 k+2 for k ≥ 1 k \geq 1 . This puts on firm mathematical ground the numerical results obtained in J. Comput. Phys. 230 (2011), 3695–3718.