Two-grid method for semiconductor device problem by mixed finite element method and characteristics finite element method
DOI10.3934/era.2020095zbMath1456.65119OpenAlexW3084628579MaRDI QIDQ2220728
Yanping Chen, Ying Liu, Yang Wang, Yunqing Huang
Publication date: 25 January 2021
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2020095
mixed finite element methodtwo-grid methodsemiconductor devicecharacteristics finite element method\(L^q\) error estimates
Numerical computation of solutions to systems of equations (65H10) 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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Electro- and magnetostatics (78A30) Initial-boundary value problems for PDEs of mixed type (35M13) PDEs in connection with semiconductor devices (35Q81)
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Cites Work
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- An approximation of semiconductor device by mixed finite element method and characteristics-mixed finite element method
- Finite difference method and analysis for three-dimensional semiconductor device of heat conduction
- Superclose analysis of a two-grid finite element scheme for semilinear parabolic integro-differential equations
- A two-grid method based on Newton iteration for the Navier-Stokes equations
- Two-grid methods for finite volume element approximations of nonlinear parabolic equations
- Two-grid finite element method for the stabilization of mixed Stokes-Darcy model
- Two-grid methods for semi-linear elliptic interface problems by immersed finite element methods
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- Finite Element Solution of the Fundamental Equations of Semiconductor Devices. I
- 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
- Expanded mixed finite element methods for linear second-order elliptic problems, I
- A Novel Two-Grid Method for Semilinear Elliptic Equations
- A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
- A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- Two-Grid Method for Miscible Displacement Problem by Mixed Finite Element Methods and Mixed Finite Element Method of Characteristics
- The Mathematical Theory of Finite Element Methods
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
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