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We consider the Laplace equation posed in a three-dimensional axisymmetric domain. We reduce the original problem by a Fourier expansion in the angular variable to a countable family of two-dimensional problems. We decompose the meridian domain, assumed polygonal, in a finite number of rectangles and we discretize by a spectral method. Then we describe the main features of the mortar method and use the algorithm Strang Fix to improve the accuracy of our discretization.
The present paper proposes and analyzes a general locking free mixed strategy for computing the deformation of incompressible three dimensional structures placed inside
flexible membranes. The model involves as in
Chapelle and Ferent [
(2003) 573–595]
a bending dominated shell envelope and a quasi incompressible elastic body.
The present work extends an earlier work of
Arnold and Brezzi [
(1997) 1–14]
treating the shell part and proposes
a global stable...
We consider the Laplace equation posed in a three-dimensional axisymmetric domain. We
reduce the original problem by a Fourier expansion in the angular variable to a countable
family of two-dimensional problems. We decompose the meridian domain, assumed polygonal,
in a finite number of rectangles and we discretize by a spectral method. Then we describe
the main features of the mortar method and use the algorithm Strang Fix to improve the
accuracy...
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