Optimal parameter choice for the pole condition

The pole condition is a framework for the derivation of transparent boundary conditions that identifies non‐physical modes by the location of the corresponding singularities in the complex plane of the solution's spatial Laplace transform. A complex half‐plane is then defined that contains all...

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Bibliographic Details
Published inProceedings in applied mathematics and mechanics Vol. 13; no. 1; pp. 455 - 456
Main Authors Ruprecht, Daniel, Schädle, Achim, Schmidt, Frank
Format Journal Article
LanguageEnglish
Published Berlin WILEY-VCH Verlag 01.12.2013
WILEY‐VCH Verlag
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Summary:The pole condition is a framework for the derivation of transparent boundary conditions that identifies non‐physical modes by the location of the corresponding singularities in the complex plane of the solution's spatial Laplace transform. A complex half‐plane is then defined that contains all poles corresponding to non‐physical modes. A key parameter in the pole condition arises in the Möbius transformation that maps this half‐plane onto the complex unit circle. The effect of variations in this parameter on the quality of the approximate TBC realized by the pole condition is explored here for the two‐dimensional drift‐diffusion equation with inhomogeneous coefficients. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Bibliography:istex:5DA9668D9F56A5D147A39D3844737001AE44FBA0
ark:/67375/WNG-58GKGMBL-5
ArticleID:PAMM201310220
ISSN:1617-7061
1617-7061
DOI:10.1002/pamm.201310220