Stability analysis for boundary element methods for the diffusion equation
β Scribed by S. Sharp
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 518 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0307-904X
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We consider a singularly perturbed advection-diffusion two-point boundary value problem whose solution has a single boundary layer. Based on piecewise polynomial approximations of degree k P 1, a new stabilized finite element method is derived in the framework of a variation multiscale approach. The
## a b s t r a c t We consider implicit and semi-implicit time-stepping methods for finite element approximations of singularly perturbed parabolic problems or hyperbolic problems. We are interested in problems where the advection dominates and stability is obtained using a symmetric, weakly consis