Numerical Approximation of the Critical Value of Eikonal Hamilton-Jacobi Equations on Networks
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908572471787520 |
|---|---|
| author | Coscetti, Valentina Pozza, Marco |
| author_facet | Coscetti, Valentina Pozza, Marco |
| contents | The critical value of an eikonal equation is the unique value of a parameter for which the equation admits solutions and is deeply related to the effective Hamiltonian of a corresponding homogenization problem. We study approximation strategies for the critical value of eikonal equations posed on networks. They are based on the large time behavior of corresponding time-dependent Hamilton-Jacobi equations. We provide error estimates and some numerical tests, showing the performance and the convergence properties of the proposed algorithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20993 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Numerical Approximation of the Critical Value of Eikonal Hamilton-Jacobi Equations on Networks Coscetti, Valentina Pozza, Marco Numerical Analysis Analysis of PDEs 35R02, 65M15, 49L25, 35B40 The critical value of an eikonal equation is the unique value of a parameter for which the equation admits solutions and is deeply related to the effective Hamiltonian of a corresponding homogenization problem. We study approximation strategies for the critical value of eikonal equations posed on networks. They are based on the large time behavior of corresponding time-dependent Hamilton-Jacobi equations. We provide error estimates and some numerical tests, showing the performance and the convergence properties of the proposed algorithms. |
| title | Numerical Approximation of the Critical Value of Eikonal Hamilton-Jacobi Equations on Networks |
| topic | Numerical Analysis Analysis of PDEs 35R02, 65M15, 49L25, 35B40 |
| url | https://arxiv.org/abs/2502.20993 |