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SIAMNUM
2010
114views more  SIAMNUM 2010»
13 years 5 months ago
A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation
We derive a posteriori error estimates for the discretization of the heat equation in a unified and fully discrete setting comprising the discontinuous Galerkin, finite volume, mix...
Alexandre Ern, Martin Vohralík
SIAMNUM
2011
117views more  SIAMNUM 2011»
13 years 4 months ago
Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
We present a method to approximate (in any space dimension) diffusion equations with schemes having a specific structure; this structure ensures that the discrete local maximum a...
Jérôme Droniou, Christophe Le Potier
COMPGEOM
2011
ACM
13 years 1 months ago
Metric graph reconstruction from noisy data
Many real-world data sets can be viewed of as noisy samples of special types of metric spaces called metric graphs [16]. Building on the notions of correspondence and GromovHausdo...
Mridul Aanjaneya, Frédéric Chazal, D...
FOCM
2011
90views more  FOCM 2011»
13 years 1 months ago
Hamiltonian Interpolation of Splitting Approximations for Nonlinear PDEs
We consider a wide class of semi linear Hamiltonian partial differential equations and their approximation by time splitting methods. We assume that the nonlinearity is polynomia...
Erwan Faou, Benoît Grebert
MICCAI
2008
Springer
14 years 11 months ago
Tag Separation in Cardiac Tagged MRI
In this paper we introduce a tag separation method for better cardiac boundary segmentation and tag tracking. Our approach is based on two observations in the cardiac tagged MR ima...
Junzhou Huang, Zhen Qian, Xiaolei Huang, Dimitr...