Performance of adaptive dual-dropping ILUT preconditioners in semiconductor dopant diffusion simulation

Jun Zhang; Anand L. Pardhanani; Graham F. Carey

doi:10.1002/jnm.424

Performance of adaptive dual-dropping ILUT preconditioners in semiconductor dopant diffusion simulation

Jun Zhang, Anand L. Pardhanani, Graham F. Carey

Computer Science

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Preconditioning strategies based on incomplete LU factorization using thresholding with dual dropping (ILUT) are investigated for iterative solution of sparse linear systems arising in semiconductor dopant diffusion modelling. Of particular interest are questions associated with selection and adaption of threshold parameters with spatial resolution, timestep in the adaptive ODE integrator and the problem physics. We investigate these issues and carry out detailed numerical studies in one- and two-dimensions for a representative phosphorus diffusion model. Guidelines for optimally selecting the threshold parameters are deduced from the results, and strategies for adaptive parameter selection are presented.

Original language	English
Pages (from-to)	147-167
Number of pages	21
Journal	International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Volume	15
Issue number	2
DOIs	https://doi.org/10.1002/jnm.424
State	Published - Mar 2002

Bibliographical note

Funding Information:
★ This work was supported by the Prod-Trees project funded by ESA ESRIN.

Funding Information:
In this paper, we present a semantically-enabled search engine for EO products currently under development by the project Prod-Trees funded by the European Space Agency. The system uses semantic technologies to allow users to search for EO products in an application-oriented way using free-text keywords (as in search engines like Google), their own domain terms or both, in conjuction with the well-known interfaces already available for expert users. A specific innovation of the presented system is the use of a new standard called EO-netCDF, currently under development in Prod-Trees and expected to be submitted to OGC, for accessing EO products annotated with netCDF. netCDF is a well-known standard consisting of set of self-describing, machine-independent data formats and software libraries that support the creation, access, and sharing of array-oriented scientific data.4

Keywords

Adaptive thresholding
ILU preconditioning
Iterative methods
Process modelling
Semiconductor TCAD
Time integration

ASJC Scopus subject areas

Modeling and Simulation
Computer Science Applications
Electrical and Electronic Engineering

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10.1002/jnm.424

Cite this

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title = "Performance of adaptive dual-dropping ILUT preconditioners in semiconductor dopant diffusion simulation",

abstract = "Preconditioning strategies based on incomplete LU factorization using thresholding with dual dropping (ILUT) are investigated for iterative solution of sparse linear systems arising in semiconductor dopant diffusion modelling. Of particular interest are questions associated with selection and adaption of threshold parameters with spatial resolution, timestep in the adaptive ODE integrator and the problem physics. We investigate these issues and carry out detailed numerical studies in one- and two-dimensions for a representative phosphorus diffusion model. Guidelines for optimally selecting the threshold parameters are deduced from the results, and strategies for adaptive parameter selection are presented.",

keywords = "Adaptive thresholding, ILU preconditioning, Iterative methods, Process modelling, Semiconductor TCAD, Time integration",

author = "Jun Zhang and Pardhanani, {Anand L.} and Carey, {Graham F.}",

note = "Funding Information: ★ This work was supported by the Prod-Trees project funded by ESA ESRIN. Funding Information: In this paper, we present a semantically-enabled search engine for EO products currently under development by the project Prod-Trees funded by the European Space Agency. The system uses semantic technologies to allow users to search for EO products in an application-oriented way using free-text keywords (as in search engines like Google), their own domain terms or both, in conjuction with the well-known interfaces already available for expert users. A specific innovation of the presented system is the use of a new standard called EO-netCDF, currently under development in Prod-Trees and expected to be submitted to OGC, for accessing EO products annotated with netCDF. netCDF is a well-known standard consisting of set of self-describing, machine-independent data formats and software libraries that support the creation, access, and sharing of array-oriented scientific data.4",

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AU - Pardhanani, Anand L.

AU - Carey, Graham F.

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PY - 2002/3

Y1 - 2002/3

N2 - Preconditioning strategies based on incomplete LU factorization using thresholding with dual dropping (ILUT) are investigated for iterative solution of sparse linear systems arising in semiconductor dopant diffusion modelling. Of particular interest are questions associated with selection and adaption of threshold parameters with spatial resolution, timestep in the adaptive ODE integrator and the problem physics. We investigate these issues and carry out detailed numerical studies in one- and two-dimensions for a representative phosphorus diffusion model. Guidelines for optimally selecting the threshold parameters are deduced from the results, and strategies for adaptive parameter selection are presented.

AB - Preconditioning strategies based on incomplete LU factorization using thresholding with dual dropping (ILUT) are investigated for iterative solution of sparse linear systems arising in semiconductor dopant diffusion modelling. Of particular interest are questions associated with selection and adaption of threshold parameters with spatial resolution, timestep in the adaptive ODE integrator and the problem physics. We investigate these issues and carry out detailed numerical studies in one- and two-dimensions for a representative phosphorus diffusion model. Guidelines for optimally selecting the threshold parameters are deduced from the results, and strategies for adaptive parameter selection are presented.

KW - Adaptive thresholding

KW - ILU preconditioning

KW - Iterative methods

KW - Process modelling

KW - Semiconductor TCAD

KW - Time integration

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Performance of adaptive dual-dropping ILUT preconditioners in semiconductor dopant diffusion simulation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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