View Proposal #149
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ID | 149 |
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First Name | Zhongming |
Last Name | WANG |
Institution | Iowa State University |
Speaker Category | graduate student |
Title of Talk | computing multivalued velocity and electric field of 1D Euler-Poisson equation |
Abstract | We develop a level set method for the computation of multi-valued velocity and electric fields of one-dimensional Euler-Poisson equations. The sys- tem of these equations arises in the semiclassical approximation of Schrodinger- Poisson equations and semiconductor modeling. This method uses an implicit Eulerian formulation in an extended space | called field space, which incorpo- rates both velocity and electric fields into the configuration space. Multi-valued velocity and electric fields are captured through common zeros of two level set functions, which solve a linear homogeneous transport equation in the field space. Numerical examples are presented to validate the proposed level set method. |
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Suitable for undergraduates? | ??? |
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Bringing a laptop? | |
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Date Submitted | 2/27/2006 |
Year | 2006 |