The modified method of characteristics with mixed finite element domain decomposition procedures for the transient behavior of a semiconductor device
DOI10.1002/NUM.20625zbMath1231.82086OpenAlexW1988061875MaRDI QIDQ3112435
Publication date: 10 January 2012
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.20625
domain decompositionmethod of characteristicsmixed finite element methodsemiconductor deviceparallel arithmetic\(L^{2}\) error estimate
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Statistical mechanics of semiconductors (82D37) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Electro- and magnetostatics (78A30)
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
- A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
- Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media
- Time-dependent solutions of a nonlinear system arising in semiconductor theory—II. Boundedness and periodicity
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- Explicit/Implicit Conservative Galerkin Domain Decomposition Procedures for Parabolic Problems
- Explicit/Implicit, Conservative Domain Decomposition Procedures for Parabolic Problems Based on Block-Centered Finite Differences
- Timestepping Along Characteristics for a Mixed Finite-Element Approximation for Compressible Flow of Contamination from Nuclear Waste in Porous Media
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
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