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| 2. |
- Eriksson, Kenneth, et al.
(författare)
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Introduction to Adaptive Methods for Differential Equations
- 1995
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Ingår i: Acta Numerica. - : Cambridge University Press. - 0962-4929 .- 1474-0508. ; 4, s. 105-158
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Tidskriftsartikel (refereegranskat)abstract
- Knowing thus the Algorithm of this calculus, which I call Differential Calculus, all differential equations can be solved by a common method (Gottfried Wilhelm von Leibniz, 1646–1719). When, several years ago, I saw for the first time an instrument which, when carried, automatically records the number of steps taken by a pedestrian, it occurred to me at once that the entire arithmetic could be subjected to a similar kind of machinery so that not only addition and subtraction, but also multiplication and division, could be accomplished by a suitably arranged machine easily, promptly and with sure results…. For it is unworthy of excellent men to lose hours like slaves in the labour of calculations, which could safely be left to anyone else if the machine was used…. And now that we may give final praise to the machine, we may say that it will be desirable to all who are engaged in computations which, as is well known, are the managers of financial affairs, the administrators of others estates, merchants, surveyors, navigators, astronomers, and those connected with any of the crafts that use mathematics (Leibniz).
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| 3. |
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| 4. |
- Eriksson, Kenneth, et al.
(författare)
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Introduction to computational methods for differential equations
- 1995
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Ingår i: Advances in Numerical Analysis IV, Theory and numerics of ordinary and partial differential equations, Leicester, 1994.. - Oxford : Oxford University Press. ; , s. 77-122, s. 77-122
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Bokkapitel (övrigt vetenskapligt/konstnärligt)
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| 5. |
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| 6. |
- Hansbo, Peter F G, 1959, et al.
(författare)
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Adaptive finite element methods for elastostatic contact problems
- 1999
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Ingår i: The IMA Volumes in Mathematics and its Applications, Grid generation and adaptive algorithms, Minneapolis, MN, 1997. ; 113, s. 135-149
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Tidskriftsartikel (refereegranskat)abstract
- We prove an a posteriori error estimate for the Signorini problem in elastostatics using a penalty approach. We design a corresponding adaptive algorithm and present some numerical results.
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