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876
Object oriented design has proven itself as a powerful tool in
the field of scientific computing. Several software packages,
libraries and toolkits exist, in particular in the FEM arena
that follow this design methodology providing extensible, reusable,
and flexible software while staying competitive to traditionally
designed point tools in terms of efficiency. However, the common approach to identify classes is to turn data structures and algorithms of traditional implementations into
...
Nous écrivons et nous justifions des conditions aux limites approchées
pour des
couches minces périodiques recouvrant un objet
parfaitement conducteur en polarisation transverse électrique et
transverse magnétique.
The following theorem is the main result of the paper: Let X be a complex Banach space and T belong to L(X). Suppose that 0 lies at the unbounded component of the set of those l such that lI - T is a Fredholm operator. Let Y be a dense subspace of the dual space X' and S be a closed operator from Y to X such that T'(Y) is contained in Y and TSy = ST'y for every y belonging to Y. Then for every vector x belonging to X', T'x belongs to Y if and only if x belongs to Y.
A symmetric N-string is a network of N ≥ 2 sections of string tied together at one common mobile extremity. In their equilibrium position, the sections of string form N angles of 2π/N at their junction point. Considering the initial and boundary value problem for small-amplitude oscillations perpendicular to the plane of the N-string at rest, we obtain conditions under which the solution will be periodic with an integral period.
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