Burman, E;
Duran, O;
Ern, A;
Steins, M;
(2021)
Convergence Analysis of Hybrid High-Order Methods for the Wave Equation.
Journal of Scientific Computing
, 87
(3)
, Article 91. 10.1007/s10915-021-01492-1.
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Abstract
We prove error estimates for the wave equation semi-discretized in space by the hybrid high-order (HHO) method. These estimates lead to optimal convergence rates for smooth solutions. We consider first the second-order formulation in time, for which we establish H and L -error estimates, and then the first-order formulation, for which we establish H -error estimates. For both formulations, the space semi-discrete HHO scheme has close links with hybridizable discontinuous Galerkin schemes from the literature. Numerical experiments using either the Newmark scheme or diagonally-implicit Runge–Kutta schemes for the time discretization illustrate the theoretical findings and show that the proposed numerical schemes can be used to simulate accurately the propagation of elastic waves in heterogeneous media. 1 2 1
| Type: | Article |
|---|---|
| Title: | Convergence Analysis of Hybrid High-Order Methods for the Wave Equation |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s10915-021-01492-1 |
| Publisher version: | https://doi.org/10.1007/s10915-021-01492-1 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher's terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10128602 |
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