2003Unpublished venueRequires access

Locally adaptive multigrid method for 3D numerical investigation of semiconductor devices

P. Conradi, Daniel J. Schroeder

Open publisher page 0 citations

Abstract

The authors present recent developments in the multigrid semiconductor device simulation program COGITO. A locally adaptive refinement strategy has been implemented. The electron and hole continuity equations have been incorporated into the solution procedure. Refinement criteria and interpolation topics are discussed in particular. The solution of a three-dimensional problem is presented. It is demonstrated that the Poisson equation in one to three dimensions for the zero-current case can be solved. Steep gradients are well resolved by adaptive refinement. The full classical equation system including the continuity equations can be solved in one dimension under a selected bias.>

About this research paper

What this paper is about

The authors present recent developments in the multigrid semiconductor device simulation program COGITO. A locally adaptive refinement strategy has been implemented. The electron and hole continuity equations have been incorporated into the solution procedure. Refinement criteria and interpolation topics are discussed in particular. The solution of a three-dimensional problem is presented. It is demonstrated that the Poisson equation in one to three dimensions for the zero-current case can be solved. Steep gradients are well resolved by adaptive refinement. The full classical equation system including the continuity equations can be solved in one dimension under a selected bias.>

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The authors present recent developments in the multigrid semiconductor device simulation program COGITO. A locally adaptive refinement strategy has been implemented. The electron and hole continuity equations have been incorporated into the solution procedure. Refinement criteria and interpolation topics are discussed in particular. The solution of a three-dimensional problem is presented. It is demonstrated that the Poisson equation in one to three dimensions for the zero-current case can be solved. Steep gradients are well resolved by adaptive refinement. The full classical equation system including the continuity equations can be solved in one dimension under a selected bias.>

Key concepts: Multigrid method, Interpolation (computer graphics), Poisson's equation, Computer science, Applied mathematics, Dimension (graph theory), Algorithm, Partial differential equation

Related papers

Back to paper searchBrowse research topicsOriginal source
Locally adaptive multigrid method for 3D numerical investigation of semiconductor devices — Research Paper | ScholarLens