This title appears in the Scientific Report :
2006
Please use the identifier:
http://dx.doi.org/10.1016/j.cam.2005.03.041 in citations.
Please use the identifier: http://hdl.handle.net/2128/12069 in citations.
High-order compact solvers for the three-dimensional Poisson equation
High-order compact solvers for the three-dimensional Poisson equation
New compact approximation schemes for the Laplace operator of fourth- and sixth-order are proposed. The schemes are based on a Pade approximation of the Taylor expansion for the discretized Laplace operator. The new schemes are compared with other finite difference approximations in several benchmar...
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Personal Name(s): | Sutmann, G. |
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Steffen, B. | |
Contributing Institute: |
Zentralinstitut für Angewandte Mathematik; ZAM |
Published in: | Journal of Computational and Applied Mathematics, 187 (2006) S. 142 - 170 |
Imprint: |
Amsterdam [u.a.]
North-Holland
2006
|
Physical Description: |
142 - 170 |
DOI: |
10.1016/j.cam.2005.03.041 |
Document Type: |
Journal Article |
Research Program: |
Scientific Computing |
Series Title: |
Journal of Computational and Applied Mathematics
187 |
Subject (ZB): | |
Link: |
Get full text OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/12069 in citations.
New compact approximation schemes for the Laplace operator of fourth- and sixth-order are proposed. The schemes are based on a Pade approximation of the Taylor expansion for the discretized Laplace operator. The new schemes are compared with other finite difference approximations in several benchmark problems. It is found that the new schemes exhibit a very good performance and are highly accurate. Especially on large grids they outperform noncompact schemes. (c) 2005 Elsevier B.V. All rights reserved. |