L\({}_{\infty}\) stability of finite element approximations to elliptic gradient equations

DOI10.1007/BF01386428zbMath0708.65102MaRDI QIDQ920608

Joseph W. Jerome, Thomas Kerkhoven

Publication date: 1990

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133466

zbMATH Keywords

stabilityfinite elementbound estimateselliptic gradient equationsmixed Dirichlet-Neumann boundary value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

• Maximum principle and uniform convergence for the finite element method
• Consistency of Semiconductor Modeling: An Existence/Stability Analysis for the Stationary Van Roosbroeck System
• Some Error Estimates for the Box Method
• A Proof of Convergence of Gummel’s Algorithm for Realistic Device Geometries
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