Nonlinear boundary value problems with application to semiconductor device equations

DOI10.21136/am.1994.134255zbMath0837.65127OpenAlexW2626586227MaRDI QIDQ1340145

Miroslav Pospíšek

Publication date: 21 May 1996

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/32881

zbMATH Keywords

convergenceGalerkin methodnonlinear Neumann boundary conditionswell-posednesselliptic systemssemiconductor devices

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs in connection with optics and electromagnetic theory (35Q60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Technical applications of optics and electromagnetic theory (78A55)

Cites Work

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• Hybrid variable finite elements for semiconductor devices
• On first and second order box schemes
• Convergent algorithms suitable for the solution of the semiconductor device equations
• Inverse-Average-Type Finite Element Discretizations of Selfadjoint Second-Order Elliptic Problems
• Consistency of Semiconductor Modeling: An Existence/Stability Analysis for the Stationary Van Roosbroeck System
• Theory of the Flow of Electrons and Holes in Germanium and Other Semiconductors

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