id: 06082196
dt: a
an: 06082196
au: Beuchler, Sven; Pillwein, Veronika; Schöberl, Joachim; Zaglmayr, Sabine
ti: Sparsity optimized high order finite element functions on simplices.
so: Langer, Ulrich (ed.) et al., Numerical and symbolic scientific computing.
    Progress and prospects. New York, NY: Springer (ISBN
    978-3-7091-0793-5/pbk; 978-3-7091-0794-2/ebook). Texts \& Monographs in
    Symbolic Computation, 21-44 (2012).
py: 2012
pu: New York, NY: Springer
la: EN
cc: 
ut: sparsity optimized basis functions; finite element method; tetrahedral
    finite element meshes; mass and stiffness matrix
ci: 
li: doi:10.1007/978-3-7091-0794-2_2
ab: Summary: This article reports several results on sparsity optimized basis
    functions for the $hp$-finite element method on triangular and
    tetrahedral finite element meshes obtained within the Special Research
    Program “Numerical and Symbolic Scientific Computing” and within
    the Doctoral Program “Computational Mathematics” both supported by
    the Austrian Science Fund FWF under the grants SFB F013 and DK W1214,
    respectively. We give an overview on the sparsity pattern for mass and
    stiffness matrices in the spaces $L_{2}, H^{1}, H(\text{div})$ and
    $H(\text{curl})$. The construction relies on a tensor-product based
    construction with properly weighted Jacobi polynomials.
rv: