Supercloseness of the Divergence-Free Finite Element Solutions on Rectangular Grids
نویسندگان
چکیده
منابع مشابه
A lowest order divergence-free finite element on rectangular grids
It is shown that the conforming Q2,1;1,2-Q ′ 1 mixed element is stable, and provides optimal order of approximation for the Stokes equations on rectangular grids. Here Q2,1;1,2 = Q2,1 ×Q1,2 and Q2,1 denotes the space of continuous piecewise-polynomials of degree 2 or less in the x direction but of degree 1 in the y direction. Q′1 is the space of discontinuous bilinear polynomials, with spurious...
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ژورنال
عنوان ژورنال: Communications in Mathematics and Statistics
سال: 2013
ISSN: 2194-6701,2194-671X
DOI: 10.1007/s40304-013-0012-8