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SIAMNUM
2010
178views more  SIAMNUM 2010»
13 years 1 months ago
A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
In the numerical simulation of many practical problems in physics and engineering, finite volume methods are an important and popular class of discretization methods due to the loc...
Long Chen
SIAMSC
2010
145views more  SIAMSC 2010»
13 years 1 months ago
An "hp" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
We present a new "hp" parameter multi-domain certified reduced basis method for rapid and reliable online evaluation of functional outputs associated with parametrized el...
Jens L. Eftang, Anthony T. Patera, Einar M. R&osla...
SIAMREV
2010
132views more  SIAMREV 2010»
13 years 1 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 6 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 6 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...