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000050776 1001_ $$0P:(DE-Juel1)132274$$aSutmann, G.$$b0$$uFZJ
000050776 245__ $$aHigh-order compact solvers for the three-dimensional Poisson equation
000050776 260__ $$aAmsterdam [u.a.]$$bNorth-Holland$$c2006
000050776 300__ $$a142 - 170
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000050776 520__ $$aNew 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.
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000050776 65320 $$2Author$$aPoisson equation
000050776 65320 $$2Author$$acompact solvers
000050776 65320 $$2Author$$aiterative solvers
000050776 65320 $$2Author$$aPade approximation
000050776 7001_ $$0P:(DE-Juel1)132269$$aSteffen, B.$$b1$$uFZJ
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