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» A spectral method for elliptic equations: the Neumann proble...
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ADCM
2010
97views more  ADCM 2010»
13 years 5 months ago
A spectral method for elliptic equations: the Dirichlet problem
Kendall Atkinson, David Da-Kwun Chien, Olaf Hansen
SIAMSC
2010
142views more  SIAMSC 2010»
13 years 11 days ago
Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Problems
Abstract. We develop in this paper some efficient algorithms which are essential to implementations of spectral methods on the sparse grid by Smolyak's construction based on a...
Jie Shen, Haijun Yu
MMAS
2010
Springer
13 years 12 days ago
A Novel Method for Solving Multiscale Elliptic Problems with Randomly Perturbed Data
We propose a method for efficient solution of elliptic problems with multiscale features and randomly perturbed coefficients. We use the multiscale finite element method (MsFEM) as...
Victor Ginting, Axel Målqvist, Michael Presh...
NA
2010
96views more  NA 2010»
13 years 4 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