Multiwavelets in solving nonlinear transport equations

Ke Wang, George Pan, Barry K. Gilbert

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A multiwavelet based finite element method (MWFEM) is introduced and applied to the 1D drift-diffusion device simulation. As a result, the MWFEM tracks the unknown function along with its tendency. Hence the spurious oscillation of the conventional FEM is elemented. Numerical example demonstrates that the new method achieves high accuracy and stability for Poisson's equation coupled with the nonlinear drift-diffusion equation with small to large Reynolds numbers.

Original languageEnglish (US)
Title of host publicationIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Pages355-358
Number of pages4
Volume1
StatePublished - 2003
Event2003 IEEE International Antennas and Propagation Symposium and USNC/CNC/URSI North American Radio Science Meeting - Columbus, OH, United States
Duration: Jun 22 2003Jun 27 2003

Other

Other2003 IEEE International Antennas and Propagation Symposium and USNC/CNC/URSI North American Radio Science Meeting
CountryUnited States
CityColumbus, OH
Period6/22/036/27/03

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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