Some results on the global inversion of bilinear and quadratic isoparametric finite element transformations
نویسندگان
چکیده
منابع مشابه
Some Results on the Global Inversion of Bilinear and Quadratic Isoparametric Finite Element Transformations*
This paper contains sufficient conditions under which a map whose domain is a compact set is a bijection onto a given set. Relative to certain isoparametric finite element maps, one set of conditions involves the nonvanishing of the Jacobian; another the notion of overspill. An algorithm based on elimination is given for the numerical inversion of these maps.
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— We consider a second order real elliptic Dirichlet problem in a bounded plane smooth domain, Lu = f in fi œ Ry u — 0 on dQ. For its numerical solution we employ the finite element method with quadratic triangular isoparametric éléments combined with a numerical intégration procedure involving function values at three nodal points in each element. We prove that iffhas third order derivatives i...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1978
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1978-0474877-4