We derive ฮต-uniform error estimates for two first-order upwind discretizations of a model inhomogeneous, second-order, singularly perturbed boundary value problem on a non-uniform grid. Here, ฮต is the small parameter multiplying the highest derivative term. The grid is suggested by the equidistribut
โฆ LIBER โฆ
Uniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid
โ Scribed by Yanping Chen
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 303 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1019-7168
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A series of numerical tests is carried out employing some commonly used finite elements for the solution of 2-D elastostatic stress analysis problems with an automatic adaptive refinement procedure. Different kinds of elements including Lagrangian quadrilateral and triangular elements, serendipity q