Augmented Galerkin Schemes for the Numerical Solution of Scattering by Small Obstacles

Xavier Claeys and Francis Collino

2007

Publication type:

Paper in peer-reviewed journals

Journal:

Numerische Mathematik, vol. 116(2), pp. 243-268

DOI:

10.1007/s00211-010-0301-z

HAL:

hal-00976812

Abstract:

We are interested in the problem of a bidimensional acoustic wave propagation in a medium including a small obstacle with homogeneous Dirichlet boundary condition. We present and analyse a numerical scheme suitable for finite elements that does not suffer from numerical locking, and takes the presence of the small obstacle into account. It is based on the fictitious domain method combined with matched asymptotic expansions.

BibTeX:

@article{Cla-Col-2007,
    author={Xavier Claeys and Francis Collino },
    title={Augmented Galerkin Schemes for the Numerical Solution of 
           Scattering by Small Obstacles },
    doi={10.1007/s00211-010-0301-z },
    journal={Numerische Mathematik },
    year={2007 },
    volume={116(2) },
    pages={243--268},
}