Discontinuous Galerkin time integration for second-order differential problems: formulations, analysis, and analogies
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915279304392704 |
|---|---|
| author | Ciaramella, Gabriele Gander, Martin J. Mazzieri, Ilario |
| author_facet | Ciaramella, Gabriele Gander, Martin J. Mazzieri, Ilario |
| contents | We thoroughly investigate Discontinuous Galerkin (DG) discretizations as time integrators for second-order oscillatory systems, considering both second-order and first-order formulations of the original problem. Key contributions include new convergence analyses for the second-order formulation and equivalence proofs between DG and classical time-stepping schemes (such as Newmark schemes and general linear methods). In addition, the chapter provides a detailed review and convergence analysis for the first-order formulation, alongside comparisons of the proposed schemes in terms of accuracy, consistency, and computational cost. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05985 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Discontinuous Galerkin time integration for second-order differential problems: formulations, analysis, and analogies Ciaramella, Gabriele Gander, Martin J. Mazzieri, Ilario Numerical Analysis We thoroughly investigate Discontinuous Galerkin (DG) discretizations as time integrators for second-order oscillatory systems, considering both second-order and first-order formulations of the original problem. Key contributions include new convergence analyses for the second-order formulation and equivalence proofs between DG and classical time-stepping schemes (such as Newmark schemes and general linear methods). In addition, the chapter provides a detailed review and convergence analysis for the first-order formulation, alongside comparisons of the proposed schemes in terms of accuracy, consistency, and computational cost. |
| title | Discontinuous Galerkin time integration for second-order differential problems: formulations, analysis, and analogies |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2505.05985 |