Preconditioned CG-type methods for solving the coupled system of fundamental semiconductor equations

DOI10.1007/BF01932752zbMath0689.65013OpenAlexW2039151860MaRDI QIDQ581997

K.-E. Karlsson, J. M. C. Aarden

Publication date: 1989

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01932752

zbMATH Keywords

continuation methodGaussian eliminationNewton methodpreconditioned conjugate gradient methodcomparisonsexperimental resultsnonsymmetric linear equation systemsNumerical resultsstationary semiconductor equations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Technical applications of optics and electromagnetic theory (78A55) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05)

Related Items (1)

Preconditioned cg‐like methods for solving non‐linear convection—diffusion equations

Uses Software

• CGS

Cites Work

• On approximate factorization methods for block matrices suitable for vector and parallel processors
• A generalized conjugate gradient, least square method
• A convergence theorem for Newton-like methods in Banach spaces
• Incomplete block-matrix factorization iterative methods for convection- diffusion problems
• Incomplete blockwise factorizations of (block) H-matrices
• A NOVEL METHOD FOR SOLVING THE CONTINUITY EQUATIONS
• A restarted version of a generalized preconditioned conjugate gradient method
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• Semiconductor device modelling from the numerical point of view
• Stability and Error Estimates of Galerkin Finite Element Approximations for Convection—Diffusion Equations
• Theory of the Flow of Electrons and Holes in Germanium and Other Semiconductors
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