An approximation of semiconductor device by mixed finite element method and characteristics-mixed finite element method

DOI10.1016/J.AMC.2013.09.067zbMath1334.78043OpenAlexW2005868868MaRDI QIDQ275764

Qing Yang, Yi-Rang Yuan

Publication date: 26 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.09.067

zbMATH Keywords

error estimatesmixed finite element methodcharacteristics-mixed finite element methodpost-processing stepsemiconductor device

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Statistical mechanics of semiconductors (82D37)

Related Items (6)

Analysis of a two-grid method for semiconductor device problem ⋮ A mixed-finite volume element coupled with the method of characteristic fractional step difference for simulating transient behavior of semiconductor device of heat conductor and its numerical analysis ⋮ Efficient algorithm based on two-grid method for semiconductor device problem ⋮ Superconvergence analysis of finite element method for nonlinear semiconductor device problem ⋮ Two-grid method for semiconductor device problem by mixed finite element method and characteristics finite element method ⋮ Efficient spectral collocation algorithm for a two-sided space fractional Boussinesq equation with non-local conditions

Cites Work

• Finite difference method and analysis for three-dimensional semiconductor device of heat conduction
• Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics
• An approximation of incompressible miscible displacement in porous media by mixed finite element method and characteristics-mixed finite element method
• Optimal \(L_{\infty}\)-estimates for a mixed finite element method for second order elliptic and parabolic problems
• Mixed finite elements in \(\mathbb{R}^3\)
• Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media
• A Characteristics-Mixed Finite Element Method for Advection-Dominated Transport Problems
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