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MOC
2010
13 years 2 months ago
On the span of polynomials with integer coefficients
Following a paper of R. Robinson, we classify all hyperbolic polynomials in one variable with integer coefficients and span less than 4 up to degree 13, and with some additional h...
Stefano Capparelli, Alberto Del Fra, Carlo Sci&ogr...
MOC
2010
13 years 2 months ago
Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
We derive in this paper a unified framework for a priori and a posteriori error analysis of mixed finite element discretizations of second-order elliptic problems. It is based on ...
Martin Vohralík
MOC
2010
13 years 2 months ago
The lifting of polynomial traces revisited
Christine Bernardi, Monique Dauge, Yvon Maday
MOC
2010
13 years 2 months ago
Multigrid in a weighted space arising from axisymmetric electromagnetics
Consider the space of two dimensional vector functions whose components and curl are square integrable with respect to the degenerate weight given by the radial variable. This spac...
Dylan M. Copeland, Jayadeep Gopalakrishnan, Minah ...
MOC
2010
13 years 2 months ago
A direct coupling of local discontinuous Galerkin and boundary element methods
The coupling of local discontinuous Galerkin (LDG) and boundary element methods (BEM), which has been developed recently to solve linear and nonlinear exterior transmission proble...
Gabriel N. Gatica, Norbert Heuer, Francisco-Javier...
MOC
2010
13 years 2 months ago
H(div) preconditioning for a mixed finite element formulation of the diffusion problem with random data
We study H(div) preconditioning for the saddle-point systems that arise in a stochastic Galerkin mixed formulation of the steady-state diffusion problem with random data. The key i...
Howard C. Elman, Darran G. Furnival, Catherine E. ...
MOC
2010
13 years 2 months ago
Approximation of stationary statistical properties of dissipative dynamical systems: Time discretization
We consider temporal approximation of stationary statistical properties of dissipative complex dynamical systems. We demonstrate that stationary statistical properties of the time...
Xiaoming Wang
MOC
2010
13 years 2 months ago
Asymptotics of greedy energy points
A. López García, Edward B. Saff