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DCC
2009
IEEE
16 years 4 months ago
Compressive-Projection Principal Component Analysis and the First Eigenvector
An analysis is presented that extends existing Rayleigh-Ritz theory to the special case of highly eccentric distributions. Specifically, a bound on the angle between the first Rit...
James E. Fowler
JSCIC
2010
145views more  JSCIC 2010»
14 years 10 months ago
Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations
In this paper we present the continuous and discontinuous Galerkin methods in a unified setting for the numerical approximation of the transport dominated advection-reaction equati...
Erik Burman, Alfio Quarteroni, Benjamin Stamm
JSCIC
2007
377views more  JSCIC 2007»
15 years 3 months ago
A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier-Stokes Equations
We present a class of discontinuous Galerkin methods for the incompressible Navier-Stokes equations yielding exactly divergence-free solutions. Exact incompressibility is achieved...
Bernardo Cockburn, Guido Kanschat, Dominik Sch&oum...
123
Voted
MOC
2010
14 years 10 months ago
hp-Optimal discontinuous Galerkin methods for linear elliptic problems
Abstract. The aim of this paper is to present and analyze a class of hpversion discontinuous Galerkin (DG) discretizations for the numerical approximation of linear elliptic proble...
Benjamin Stamm, Thomas P. Wihler
TAPIA
2005
ACM
15 years 9 months ago
Computation of nonclassical shocks using a spacetime discontinuous Galerkin method
We present a numerical study for two systems of conservation laws using a spacetime discontinuous Galerkin (SDG) method with causal spacetime triangulations and the piecewise cons...
Katarina Jegdic