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» A Reduced-Basis Element Method
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CORR
2007
Springer
113views Education» more  CORR 2007»
13 years 7 months ago
Solution of moving-boundary problems by the spectral element method
This paper describes a novel numerical model aiming at solving moving-boundary problems such as free-surface flows or fluid– structure interaction. This model uses a moving-gr...
Nicolas Bodard, Roland Bouffanais, Michel O. Devil...
MOC
1998
126views more  MOC 1998»
13 years 7 months ago
Implicit-explicit multistep finite element methods for nonlinear parabolic problems
We approximate the solution of initial boundary value problems for nonlinear parabolic equations. In space we discretize by finite element methods. The discretization in time is b...
Georgios Akrivis, Michel Crouzeix, Charalambos Mak...
MOC
2011
13 years 2 months ago
Local energy estimates for the finite element method on sharply varying grids
Abstract. Local energy error estimates for the finite element method for elliptic problems were originally proved in 1974 by Nitsche and Schatz. These estimates show that the loca...
Alan Demlow, Johnny Guzmán, Alfred H. Schat...
NHM
2010
73views more  NHM 2010»
13 years 2 months ago
The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and la
Abstract. This contribution is concerned with the formulation of a heterogeneous multiscale finite elements method (HMM) for solving linear advectiondiffusion problems with rapidly...
Patrick Henning, Mario Ohlberger
NA
2010
96views more  NA 2010»
13 years 5 months ago
Spectral element methods on unstructured meshes: which interpolation points?
In the field of spectral element approximations, the interpolation points can be chosen on the basis of different criteria, going from the minimization of the Lebesgue constant to ...
Richard Pasquetti, Francesca Rapetti