A one-level FETI method for the drift–diffusion-Poisson system with discontinuities at an interface

Stefan Baumgartner, Clemens Heitzinger

Type: Article

Publication Date: 2013-03-15

Citations: 11

DOI: https://doi.org/10.1016/j.jcp.2013.02.043

View Publication

Locations

Journal of Computational Physics - View

Similar Works

Action	Title	Year	Authors
+	A finite element method with energy-adaptive grids for the coupled Schrödinger-Poisson-drift-diffusion model	2023	Pengcong Mu Xinming Wu Weiying Zheng
+ PDF Chat	A robust hybridizable discontinuous Galerkin scheme with harmonic averaging technique for steady state of real-world semiconductor devices	2024	Qingyuan Shi Yongyong Cai Chijie Zhuang Bo Lin Dan Wu Rong Zeng Weizhu Bao
+	An Implicit-Explicit Local Discontinuous Galerkin Scheme for Analysis of Organic Electrochemical Transistors	2021	Ming Dong Liang Chen Hakan Bağcı
+	A Direct Solver for 2D Non-Stationary Boltzmann-Poisson Systems for Semiconductor Devices: A MESFET Simulation by WENO-Boltzmann Schemes	2003	José A. Carrillo Irene M. Gamba Armando Majorana Chi‐Wang Shu
+	Numerical techniques for the drift-diffusion semiconductor equations	1996	R. C. Ferguson
+	An HDG Method for Time-dependent Drift-Diffusion Model of Semiconductor Devices	2018	Gang Chen Peter Monk Yangwen Zhang
+ PDF Chat	Extending the diffusion approximation to the boundary using an integrated diffusion model	2015	Chen Chen Zhidong Du Liang Pan
+	A WENO-solver for the transients of Boltzmann–Poisson system for semiconductor devices: performance and comparisons with Monte Carlo methods	2003	José A. Carrillo Irene M. Gamba Armando Majorana Chi‐Wang Shu
+	A Multigroup-WENO Solver for the Non-Stationary Boltzmann-Poisson System for Semiconductor Devices	2006	M. Galler Armando Majorana Ferdinand Schürrer
+	The Drift-Diffusion Equations and Their Numerical Solution	2006	Dragica Vasileska Stephen M. Goodnick
+	A Finite Difference Scheme Solving the Boltzmann–Poisson System for Semiconductor Devices	2001	Armando Majorana R. M. Pidatella
+	Numerical Methods for a Quantum Drift–diffusion Equation in Semiconductor Physics	2006	Ramón Escobedo L. L. Bonilla
+	A numerical method for a transient quantum drift-diffusion model arising in semiconductor devices	2008	Tomoko Shimada S. Odanaka
+ PDF Chat	Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis	2003	Claire Chainais-Hillairet Jian‐Guo Liu Yue‐Jun Peng
+	Discontinuous Galerkin Solver for the Semiconductor Boltzmann Equation	2007	Yingda Cheng Irene M. Gamba Armando Majorana Chi‐Wang Shu
+	Adaptive mesh refinement for solving the non-stationary Boltzmann-Poisson system for two-dimensional semiconductor devices	2006	Christoph Auer Armando Majorana Ferdinand Schürrer
+	Stochastic simulation algorithms for solving a nonlinear system of drift–diffusion-Poisson equations of semiconductors	2020	Karl K. Sabelfeld Anastasiya Kireeva
+	Nitsche-XFEM for a time fractional diffusion interface problem	2023	Tao Wang Yanping Chen
+	A finite element method for the 2D drift-diffusion semiconductor model	1994	Zhangxin Chen
+ PDF Chat	On a Drift–Diffusion System for Semiconductor Devices	2016	Rafael Granero-Belinchón

Works That Cite This (3)

Action	Title	Year	Authors
+ PDF Chat	The optimal multilevel Monte-Carlo approximation of the stochastic drift–diffusion-Poisson system	2017	Leila Taghizadeh Amirreza Khodadadian Clemens Heitzinger
+ PDF Chat	Multiscale modeling of fluctuations in stochastic elliptic PDE models of nanosensors	2013	Clemens Heitzinger Christian Ringhofer
+ PDF Chat	Numerical algorithms based on Galerkin methods for the modeling of reactive interfaces in photoelectrochemical (PEC) solar cells	2016	Michael M. Harmon Irene M. Gamba Kui Ren

Works Cited by This (3)

Action	Title	Year	Authors
+	A method of finite element tearing and interconnecting and its parallel solution algorithm	1991	Charbel Farhat François‐Xavier Roux
+	Consistency of Semiconductor Modeling: An Existence/Stability Analysis for the Stationary Van Roosbroeck System	1985	Joseph W. Jerome
+	Total FETI-an easier implementable variant of the FETI method for numerical solution of elliptic PDE	2006	Zdeněk Dostál David Horák Radek Kučera