FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2339215870> ?p ?o ?g. }

• W2339215870 endingPage "107" @default.
• W2339215870 startingPage "82" @default.
• W2339215870 abstract "We present the design and implementation of an L2-stable spectral method for the discretization of the Vlasov- Poisson model of a collisionless plasma in one space and velocity dimension. The velocity and space dependence of the Vlasov equation are resolved through a truncated spectral expansion based on Legendre and Fourier basis functions, respectively. The Poisson equation, which is coupled to the Vlasov equation, is also resolved through a Fourier expansion. The resulting system of ordinary differential equation is discretized by the implicit second-order accurate Crank-Nicolson time discretization. The non-linear dependence between the Vlasov and Poisson equations is iteratively solved at any time cycle by a Jacobian-Free Newton-Krylov method. In this work we analyze the structure of the main conservation laws of the resulting Legendre-Fourier model, e.g., mass, momentum, and energy, and prove that they are exactly satisfied in the semi-discrete and discrete setting. The L2-stability of the method is ensured by discretizing the boundary conditions of the distribution function at the boundaries of the velocity domain by a suitable penalty term. The impact of the penalty term on the conservation properties is investigated theoretically and numerically. An implementation of the penalty term that does not affect the conservation of mass, momentum and energy, is also proposed and studied. A collisional term is introduced in the discrete model to control the filamentation effect, but does not affect the conservation properties of the system. Numerical results on a set of standard test problems illustrate the performance of the method." @default.
• W2339215870 created "2016-06-24" @default.
• W2339215870 creator A5013746832 @default.
• W2339215870 creator A5014223403 @default.
• W2339215870 creator A5070899565 @default.
• W2339215870 creator A5085178088 @default.
• W2339215870 date "2016-07-01" @default.
• W2339215870 modified "2023-10-16" @default.
• W2339215870 title "A Legendre–Fourier spectral method with exact conservation laws for the Vlasov–Poisson system" @default.
• W2339215870 cites W1025628748 @default.
• W2339215870 cites W1547558873 @default.
• W2339215870 cites W1599500910 @default.
• W2339215870 cites W1965855805 @default.
• W2339215870 cites W1967893382 @default.
• W2339215870 cites W1972670182 @default.
• W2339215870 cites W1978362527 @default.
• W2339215870 cites W1997251924 @default.
• W2339215870 cites W2001273505 @default.
• W2339215870 cites W2015402108 @default.
• W2339215870 cites W2020531440 @default.
• W2339215870 cites W2022113824 @default.
• W2339215870 cites W2037043251 @default.
• W2339215870 cites W2043341868 @default.
• W2339215870 cites W2049991352 @default.
• W2339215870 cites W2051465806 @default.
• W2339215870 cites W2056152878 @default.
• W2339215870 cites W2059559601 @default.
• W2339215870 cites W2072022733 @default.
• W2339215870 cites W2081389401 @default.
• W2339215870 cites W2086617698 @default.
• W2339215870 cites W2167657634 @default.
• W2339215870 cites W2171303908 @default.
• W2339215870 cites W2567496922 @default.
• W2339215870 cites W3102845533 @default.
• W2339215870 cites W824257164 @default.
• W2339215870 doi "https://doi.org/10.1016/j.jcp.2016.03.069" @default.
• W2339215870 hasPublicationYear "2016" @default.
• W2339215870 type Work @default.
• W2339215870 sameAs 2339215870 @default.
• W2339215870 citedByCount "30" @default.
• W2339215870 countsByYear W23392158702017 @default.
• W2339215870 countsByYear W23392158702018 @default.
• W2339215870 countsByYear W23392158702019 @default.
• W2339215870 countsByYear W23392158702020 @default.
• W2339215870 countsByYear W23392158702021 @default.
• W2339215870 countsByYear W23392158702022 @default.
• W2339215870 countsByYear W23392158702023 @default.
• W2339215870 crossrefType "journal-article" @default.
• W2339215870 hasAuthorship W2339215870A5013746832 @default.
• W2339215870 hasAuthorship W2339215870A5014223403 @default.
• W2339215870 hasAuthorship W2339215870A5070899565 @default.
• W2339215870 hasAuthorship W2339215870A5085178088 @default.
• W2339215870 hasBestOaLocation W23392158701 @default.
• W2339215870 hasConcept C111458787 @default.
• W2339215870 hasConcept C121332964 @default.
• W2339215870 hasConcept C134306372 @default.
• W2339215870 hasConcept C186175660 @default.
• W2339215870 hasConcept C23463724 @default.
• W2339215870 hasConcept C28826006 @default.
• W2339215870 hasConcept C33923547 @default.
• W2339215870 hasConcept C3445786 @default.
• W2339215870 hasConcept C5917680 @default.
• W2339215870 hasConcept C62520636 @default.
• W2339215870 hasConcept C73000952 @default.
• W2339215870 hasConcept C82706917 @default.
• W2339215870 hasConceptScore W2339215870C111458787 @default.
• W2339215870 hasConceptScore W2339215870C121332964 @default.
• W2339215870 hasConceptScore W2339215870C134306372 @default.
• W2339215870 hasConceptScore W2339215870C186175660 @default.
• W2339215870 hasConceptScore W2339215870C23463724 @default.
• W2339215870 hasConceptScore W2339215870C28826006 @default.
• W2339215870 hasConceptScore W2339215870C33923547 @default.
• W2339215870 hasConceptScore W2339215870C3445786 @default.
• W2339215870 hasConceptScore W2339215870C5917680 @default.
• W2339215870 hasConceptScore W2339215870C62520636 @default.
• W2339215870 hasConceptScore W2339215870C73000952 @default.
• W2339215870 hasConceptScore W2339215870C82706917 @default.
• W2339215870 hasFunder F4320306084 @default.
• W2339215870 hasFunder F4320332369 @default.
• W2339215870 hasFunder F4320337547 @default.
• W2339215870 hasFunder F4320338304 @default.
• W2339215870 hasLocation W23392158701 @default.
• W2339215870 hasLocation W23392158702 @default.
• W2339215870 hasLocation W23392158703 @default.
• W2339215870 hasLocation W23392158704 @default.
• W2339215870 hasOpenAccess W2339215870 @default.
• W2339215870 hasPrimaryLocation W23392158701 @default.
• W2339215870 hasRelatedWork W2007796402 @default.
• W2339215870 hasRelatedWork W2024923766 @default.
• W2339215870 hasRelatedWork W2035467761 @default.
• W2339215870 hasRelatedWork W2339215870 @default.
• W2339215870 hasRelatedWork W2559838995 @default.
• W2339215870 hasRelatedWork W2804123559 @default.
• W2339215870 hasRelatedWork W3062230732 @default.
• W2339215870 hasRelatedWork W3094389910 @default.
• W2339215870 hasRelatedWork W3100674731 @default.
• W2339215870 hasRelatedWork W3118034887 @default.
• W2339215870 hasVolume "317" @default.

• next