A new approach to the space-charge problem

DOI10.1098/rspa.1988.0067zbMath0654.35074OpenAlexW1999012614MaRDI QIDQ3800453

Chris J. Budd, Adam A. Wheeler

Publication date: 1988

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1988.0067

zbMATH Keywords

finite differenceselectric potentialmethod of characteristicsLaplace's equationhodograph methodmixed typethird-ordereffective algorithmorthogonal coordinate systemcoronating electrode

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) Finite difference methods for boundary value problems involving PDEs (65N06) Geometric theory, characteristics, transformations in context of PDEs (35A30) Electro- and magnetostatics (78A30) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)

Related Items (2)

A numerical scheme for the solution of the space charge problem on a multiply connected region ⋮ Application of Galerkin finite-element method with Newton iterations in computing steady-state solutions of unipolar charge currents in corona devices

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