The two-level local projection stabilization as an enriched one-level approach. A one-dimensional study
نویسندگان
چکیده
The two-level local projection stabilization is considered as a onelevel approach in which the enrichments on each element are piecewise polynomial functions. The dimension of the enrichment space can be significantly reduced without losing the convergence order. For example, using continuous piecewise polynomials of degree r ≥ 1, only one function per cell is needed as enrichment instead of r in the twolevel approach. Moreover, in the constant coefficient case, we derive formulas for the user-chosen stabilization parameter which guarentee that the linear part of the solution becomes nodal exact. ∗This paper is dedicated to G.I. Shishkin on the occasion of his 70th birthday
منابع مشابه
The two-level local projection stabilization as an enriched one-level approach
The two-level local projection stabilization is considered as a onelevel approach in which the enrichments on each element are piecewise polynomial functions. The dimension of the enrichment space can be significantly reduced without losing the convergence order. For example, using continuous piecewise polynomials of degree r ≥ 1, only one function per cell is needed as enrichment instead of r ...
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