NUMERICAL ANALYSIS OF THE FINITE ELEMENT METHOD APPLIED TO THE BOLTZMANN-POISSON SYSTEM

DOI10.1142/S0218202595000218zbMATH Open0833.65135OpenAlexW1993738725MaRDI QIDQ4847349

O. D. Trufanov, V. Shutyaev

Publication date: 24 March 1996

Published in: M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202595000218

zbMATH Keywords

algorithmconvergencefinite element methodnumerical experimentsBoltzmann equationBubnov-Galerkin methodBoltzmann-Poisson systemsemi-conductor device

Mathematics Subject Classification ID

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Technical applications of optics and electromagnetic theory (78A55) Applications to the sciences (65Z05)

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