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We develop an arbitrary-order primal method for diffusion problems on general polyhedral meshes. The degrees of freedom are scalar-valued polynomials of the same order at mesh elements and faces. The cornerstone of the method is a local (element-wise) discrete gradient reconstruction operator. The design of the method additionally hinges on a least-squares(More)
In this work we introduce a discrete functional space on general polygonal or polyhedral meshes which mimics two important properties of the standard Crouzeix–Raviart space, namely the continuity of mean values at interfaces and the existence of an interpolator which preserves the mean value of the gradient inside each element. The construction borrows(More)
A new optimization-based numerical method is proposed for the solution of diffusion problems with sign-changing conductivity coefficients. In contrast to existing approaches, our method does not rely on the discretization of a stabilized model and the convergence of the scheme can be proved without any symmetry assumption on the mesh near the interface(More)
In this note we propose a discretization of the Stokes equations which is inf-sup stable on general polygonal or polyhedral meshes and robust with respect to the presence of large irrotational source terms. The key idea is to construct a discrete space for the velocity which extends two important properties of the Crouzeix–Raviart element to general meshes,(More)
  • Daniele A Di, Pietro, Robert Eymard, Simon Lemaire, Roland Masson
  • 2011
This paper presents a new discretization scheme for linear elasticity models using only one degree of freedom per face corresponding to the normal component of the displacement. The scheme is based on a piecewise constant gradient construction and a discrete variational formulation for the displacement field. The tangential components of the displacement(More)
We studied the expression of the osteogenic and antinociceptive C-terminal histone H4-related peptide fragments, H4-(89-102) (OGP) and H4-(86-100), respectively, within various rat tissues and isolated alveolar macrophages (AM) by radioimmunoassay (RIA). OGP was located mainly within the bone marrow, spleen, thymus, and lungs whereas H4-(86-100) was more(More)
Novel analogues of the minimal antinociceptive histogranin (HN) fragment Gly(7)-Gln-Gly-Arg(10), in which amino acids in positions 8, 9, and 10 were replaced by lipophilic amino acids and corresponding d-amino acid residues in combination with N- to C-terminal cyclization, were synthesized and tested in various animal models of pain. All synthetic compounds(More)
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