 Discretization of Poisson’s equation in two domains with non algebraic interface conditions for plasma simulationsAndrea Villa, Luca Barbieri, Roberto Malgesini and Giacomo Buccella Applied Mathematics and Computation, 2021, vol. 403, issue C Abstract: In this work, we treat the discretization of Poisson’s equation in two domains where interface conditions cannot be expressed by simple algebraic equations since they also contain differential terms. In particular, the more general and physical framework regards the solution of electrodynamic problems where surface conduction phenomena are taken into account. This kind of problems include, just to name a few, the interaction of plasma with solid dielectrics, or semi-conductive surfaces, the motion of charged ions in electro-active polymers and the interaction of charged fluids with porous matrices. In this work, we will identify a representative Poisson’s problem with non-algebraic interface conditions and we will study several discrete approaches to solve it. For each approach, we study the resolvability of the associated algebraic problem and we test its performances using some numerical tests. Keywords: Electrostatics; Surface conduction; Surface divergence (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:403:y:2021:i:c:s0096300321002691 DOI: 10.1016/j.amc.2021.126179 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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