78views more  JCAM 2011»
12 years 10 months ago
Symmetric box-splines on root lattices
Root lattices are efficient sampling lattices for reconstructing isotropic signals in arbitrary dimensions, due to their highly symmetric structure. One root lattice, the Cartesia...
Minho Kim, Jörg Peters
81views more  MOC 2002»
13 years 7 months ago
Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection--diffusion problem
We study the convergence properties of the hp-version of the local discontinuous Galerkin finite element method for convection-diffusion problems; we consider a model problem in a ...
Paul Castillo, Bernardo Cockburn, Dominik Schö...
83views more  DM 2008»
13 years 7 months ago
The polynomial degrees of Grassmann and Segre varieties over GF(2)
A recent proof that the Grassmannian G1;n;2 of lines of PG(n; 2) has polynomial degree n 2 1 is outlined, and is shown to yield a theorem about certain kinds of subgraphs of any (...
R. Shaw
14 years 2 months ago
Interactive High-Quality Visualization of Higher-Order Finite Elements
Higher-order finite element methods have emerged as an important discretization scheme for simulation. They are increasingly used in contemporary numerical solvers, generating a ...
Markus Üffinger, Steffen Frey, Thomas Ertl