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SIAMREV
2010
132views more  SIAMREV 2010»
13 years 2 months ago
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
In this paper we propose and analyze a Stochastic-Collocation method to solve elliptic Partial Differential Equations with random coefficients and forcing terms (input data of the...
Ivo Babuska, Fabio Nobile, Raúl Tempone
SIAMSC
2008
206views more  SIAMSC 2008»
13 years 7 months ago
The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
We present a compact discontinuous Galerkin (CDG) method for an elliptic model problem. The problem is first cast as a system of first order equations by introducing the gradient o...
Jaime Peraire, Per-Olof Persson
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...
SIAMNUM
2011
252views more  SIAMNUM 2011»
13 years 2 months ago
Analysis and Computation of Compatible Least-Squares Methods for div-curl Equations
We develop and analyze least-squares finite element methods for two complementary div-curl elliptic boundary value problems. The first one prescribes the tangential component of ...
Pavel B. Bochev, Kara Peterson, Christopher M. Sie...
NA
2006
75views more  NA 2006»
13 years 7 months ago
Least-squares spectral collocation with the overlapping Schwarz method for the incompressible Navier-Stokes equations
A least-squares spectral collocation scheme is combined with the overlapping Schwarz method. The methods are succesfully applied to the incompressible Navier-Stokes equations. The...
Wilhelm Heinrichs