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SIAMREV
2010
132views more  SIAMREV 2010»
14 years 6 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
120
Voted
COMPGEOM
2009
ACM
15 years 6 months ago
Integral estimation from point cloud in d-dimensional space: a geometric view
Integration over a domain, such as a Euclidean space or a Riemannian manifold, is a fundamental problem across scientific fields. Many times, the underlying domain is only acces...
Chuanjiang Luo, Jian Sun, Yusu Wang
97
Voted
JSCIC
2008
134views more  JSCIC 2008»
14 years 11 months ago
Discontinuous Hamiltonian Finite Element Method for Linear Hyperbolic Systems
Abstract We develop a Hamiltonian discontinuous finite element discretization of a generalized Hamiltonian system for linear hyperbolic systems, which include the rotating shallow ...
Yan Xu, Jaap J. W. van der Vegt, Onno Bokhove
112
Voted
MOC
2011
14 years 6 months ago
A two-level enriched finite element method for a mixed problem
The simplest pair of spaces P1/P0 is made inf-sup stable for the mixed form of the Darcy equation. The key ingredient is enhance the finite element spaces inside a PetrovGalerkin ...
Alejandro Allendes, Gabriel R. Barrenechea, Erwin ...
94
Voted
MMAS
2010
Springer
14 years 6 months ago
Balanced Truncation of Linear Second-Order Systems: A Hamiltonian Approach
We present a formal procedure for structure-preserving model reduction of linear second-order and Hamiltonian control problems that appear in a variety of physical contexts, e.g., ...
Carsten Hartmann, Valentina-Mira Vulcanov, Christo...