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Series in Microelectronics
edited
by Wolfgang Fichtner
Qiuting Huang
Heinz Jäckel
Andreas
Schenk
Mathieu Maurice Luisier
Gerhard Tröster
Bernd Witzigmann
Vol. 222
Vincent Peikert,
Utilizing Wavelets to Solve
High-Dimensional Transport
Equations in Nano-Devices.
2013. XIV, 222 pages. € 64.00.
ISBN 978-3-86628-466-1
Abstract:
In this work wavelets are considered for the deterministic solutions of
6-dimensional semiconductor transport problems for the first time. The
advantages of wavelets over conventional approaches are often strongly
amplified in higher dimensions by the construction of so-called sparse grids.
The Multi-Wavelet Discontinuos Galerkin Method is derived which is not only
flux conservative and stabilizing but, in contrast to other methods, also
allows to use high-order piercewise polynomials and to construct unstructured
meshes in all dimensions. Special adaptive criteria for transport problems are
derived and demonstrated to work satisfactory for high polynomial order
Multi-Wavelets in all phase space directions so that efficient adaptive sparse
grids can automatically be found. Fully adaptive nano-device simulations
demonstrate savings related to the sparse grids of more than 99%.
About the Author:
Vincent Peikert was born on October
14 in 1982 and grew up in Wuppertal, Germany. In 2008 he finished his studies
at ETH Zurich with a Dipl. Phys. ETH degree. During his studies, Vincent
absolved internships at the BNL (USA) and at CERN, wrote scientific theses at
the ETH departments D-ITET, D-MATH and DMTEC and held various teaching tutorial
and research assistance positions at D-MATH and D-BSSE. Vincent worked as a
Quantitative Strategist in a major Swiss bank before joining the Integrated
Systems Laboratory at ETH as a research and teaching assistant in 2009. His
research interest focuses on computational sciences in general and on numerical
and statistical approaches to solve high-dimensional equations in particular.
Since 2012 Vincent works as a consultant in the financial industry.
Keywords:
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