Levi functions for linear elliptic systems with variable coefficients including shell equations |
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Authors: | A Pomp |
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Affiliation: | (1) ISE Integrated Systems Engineering AG, Technopark, CH-8005 zürich, switzerland, CH |
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Abstract: | This paper gives an algorithm to construct Levi functions of arbitrary degree for elliptic systems of linear partial differential
equations with variable (real-analytic) coefficients. Further, an indirect method is described to transform elliptic boundary
value problems into a system of integral equations. This method is applied to the shell equations in the non-shallow case.
(In the shallow case the shell equations have constant coefficients.) Some questions of discretization are discussed and numerical
results are presented. |
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Keywords: | AMS subject classification 73V20 73V10 35A08 65N38 |
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