Modeling and simulation of solid-state transducers: the thermal and electrical energy domain

This paper deals with a basic strategy towards the (efficient) numerical modeling of semiconductor micro-structures in which electric, thermal and thermoelectric effects are important. In particular, we discuss a very efficient method of O(n) for solving the nonlinear semiconductor thermoelectric mo...

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Bibliographic Details
Published in:Sensors and actuators. A, Physical Physical, 1994-04, Vol.41 (1), p.268-274
Main Author: van Duyn, D.C.
Format: Article
Language:English
Subjects:
Exact sciences and technology
General equipment and techniques
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Physics
Transducers
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Summary:This paper deals with a basic strategy towards the (efficient) numerical modeling of semiconductor micro-structures in which electric, thermal and thermoelectric effects are important. In particular, we discuss a very efficient method of O(n) for solving the nonlinear semiconductor thermoelectric model equations, where n is the total number of elements in the grid. The method is based on the multigrid method in combination with the mixed finite element discretization method and a nonlinear Vanka-type relaxation method. For a simple, but representative test problem we demonstrate the feasibility of this approach by showing that (nearly) mesh-size independent convergence rates can be obtained.
ISSN:0924-4247
1873-3069
DOI:10.1016/0924-4247(94)80122-3