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Discretization of Poisson’s equation in two domains with non algebraic interface conditions for plasma simulations

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#Electricity Network #Technologies and Components

Publications - ISI Article

Discretization of Poisson’s equation in two domains with non algebraic interface conditions for plasma simulations

We discuss algorithms for simulating a Poisson equation in two domains with non-algebraic interface conditions.

This work explores the discretization of a Poisson equation in two domains where the interface conditions cannot be expressed solely by algebraic relations but they also contend with differential terms. In particular, the general picture from a physical point of view is of electrodynamics problems that include the phenomenon of surface conduction. These types of problems include, to name a few, the interactions between plasma and dielectric solids and semiconducting solids, the motion of charged ions in electro-active polymers, and the interaction of charged fluids with porous matrices. In this work we will identify, and rigorously define, a representative Poisson problem with non-algebraic interface conditions and we will study different approaches to solve this problem. As an approach, we will study the solubility of the associated algebraic problem and verify the performance using some numerical tests.

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Rif.RSE​

19002026

Destination​

Applied Mathematics and Computation, Vol. 403, August 15, 2021, 126179

Publication Date

15 August 2021

Authors​

A. Villa, L. Barbieri, R. Malgesini (RSE S.p.A.), G. Buccella (Politecnico di Milano)

Publication Type

ISI Article

Projects

Components and materials for safety and resilience (Mat4Res)

Target​

Press & Media

Related tags

#Electricity Network #Technologies and Components

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