Convergence analysis of a partial differential algebraic system from coupling a semiconductor model to a circuit model

DOI10.1016/j.apnum.2010.11.003zbMath1208.82071OpenAlexW1973655794MaRDI QIDQ624988

Michael Matthes, Caren Tischendorf

Publication date: 11 February 2011

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2010.11.003

zbMATH Keywords

convergence analysisdifferential-algebraic equationpartial differential equationcoupled systemmodified nodal analysistractability indexdrift-diffusion equationsproperly stated leading term

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for differential-algebraic equations (65L80)

Related Items (3)

DAEs in Circuit Modelling: A Survey ⋮ The Flexibility of DAE Formulations ⋮ Error analysis for Galerkin-BDF discretizations of DAEs with elliptic operator constraints

Cites Work

• An existence result for elliptic partial differential-algebraic equations arising in semiconductor modeling
• On the basic equations for carrier transport in semiconductors
• Differential algebraic equations with properly stated leading terms
• Numerical analysis of DAEs from coupled circuit and semiconductor simulation
• Elliptic Partial Differential-Algebraic Multiphysics Models in Electrical Network Design
• Structural analysis of electric circuits and consequences for MNA
• The automatic integration of ordinary differential equations
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