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Poisson Equation Solvers
08 Jun 2010 | Contributor(s):: Dragica Vasileska
There are two general schemes for solving linear systems: Direct Elimination Methods, and Iterative Methods.All the direct methods are, in some sense, based on the standard Gauss Elimination technique, which systematically applies row operations to transform the original system of equations into...
Poisson Equation Solvers - General Considerations
We describe the need for numerical modeling, the finite difference method, the conversion from continuous set to set of matrix equations, types of solvers for solving sparse matrix equations of the form Ax=b that result, for example, from the finite difference discretization of the Poisson Equation.
This set of slides describe the idea behind the multigrid method and its implementation.
Drift-Diffusion Modeling and Numerical Implementation Details
01 Jun 2010 | Contributor(s):: Dragica Vasileska
This tutorial describes the constitutive equations for the drift-diffusion model and implementation details such as discretization and numerical solution of the algebraic equations that result from the finite difference discretization of the Poisson and the continuity...