Explicit relaxation Particle-in-Cell methods for Vlasov-Poisson equations with a strong magnetic field
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911551118639104 |
|---|---|
| author | Wang, Lina Wang, Bin |
| author_facet | Wang, Lina Wang, Bin |
| contents | In this work, we present a novel family of explicit relaxation Particle-in-Cell (ER-PIC) methods for the Vlasov-Poisson equation with a strong magnetic field. These schemes achieve exact energy conservation by combining a splitting framework with the dynamic updating of a relaxation parameter at each time step. Using an averaging technique, we rigorously establish second-order error bounds for the Strang-type ER-PIC method and uniform first order accuracy in position for the Lie-Trotter ER-PIC scheme. Numerical experiments across the fluid, finite Larmor radius, and diffusion regimes confirm the accuracy and energy conservation of our methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27652 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Explicit relaxation Particle-in-Cell methods for Vlasov-Poisson equations with a strong magnetic field Wang, Lina Wang, Bin Numerical Analysis 65M75, 35Q83, 76X05, 65L05, 65L20, 65L70 In this work, we present a novel family of explicit relaxation Particle-in-Cell (ER-PIC) methods for the Vlasov-Poisson equation with a strong magnetic field. These schemes achieve exact energy conservation by combining a splitting framework with the dynamic updating of a relaxation parameter at each time step. Using an averaging technique, we rigorously establish second-order error bounds for the Strang-type ER-PIC method and uniform first order accuracy in position for the Lie-Trotter ER-PIC scheme. Numerical experiments across the fluid, finite Larmor radius, and diffusion regimes confirm the accuracy and energy conservation of our methods. |
| title | Explicit relaxation Particle-in-Cell methods for Vlasov-Poisson equations with a strong magnetic field |
| topic | Numerical Analysis 65M75, 35Q83, 76X05, 65L05, 65L20, 65L70 |
| url | https://arxiv.org/abs/2603.27652 |