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Numerical method for elliptic multiscale problems
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I. Greff
Veröffentlicht/Copyright:
25. Juni 2008
Abstract
In this paper we are interested in the coarse-mesh approximations of a class of second order elliptic operators with rough or rapidly oscillatory coefficients. We intend to provide a smoother elliptic operator which on a coarse mesh behaves like the original operator. Note that there is no requirement on smoothness or periodicity of the coefficients. To simplify the theory and the numerical implementations, we restrict ourselves to the one-dimensional case.
Received: 2006-11-28
Revised: 2007-12-19
Published Online: 2008-06-25
Published in Print: 2008-June
© de Gruyter 2008
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Artikel in diesem Heft
- Nonoverlapping domain decomposition with cross points for orthogonal spline collocation
- Modeling and computation of the shape of a compressed axisymmetric gas bubble
- Numerical method for elliptic multiscale problems
- Simultaneous pseudo-time stepping for 3D aerodynamic shape optimization
Schlagwörter für diesen Artikel
elliptic multiscale problem;
oscillatory coefficients;
FE-discretization
Artikel in diesem Heft
- Nonoverlapping domain decomposition with cross points for orthogonal spline collocation
- Modeling and computation of the shape of a compressed axisymmetric gas bubble
- Numerical method for elliptic multiscale problems
- Simultaneous pseudo-time stepping for 3D aerodynamic shape optimization
