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SIAMNUM
2010
134views more  SIAMNUM 2010»
13 years 2 months ago
Nonequispaced Hyperbolic Cross Fast Fourier Transform
A straightforward discretisation of problems in d spatial dimensions often leads to an exponential growth in the number of degrees of freedom. Thus, even efficient algorithms like ...
Michael Döhler, Stefan Kunis, Daniel Potts
SIAMNUM
2010
114views more  SIAMNUM 2010»
13 years 2 months ago
Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra
We discuss and compare two greedy algorithms, that compute discrete versions of Fekete-like points for multivariate compact sets by basic tools of numerical linear algebra. The fi...
Len Bos, Stefano De Marchi, Alvise Sommariva, Marc...
SIAMNUM
2010
120views more  SIAMNUM 2010»
13 years 2 months ago
Well Conditioned Spherical Designs for Integration and Interpolation on the Two-Sphere
A set XN of N points on the unit sphere is a spherical t-design if the average value of any polynomial of degree at most t over XN is equal to the average value of the polynomial o...
Congpei An, Xiaojun Chen, Ian H. Sloan, Robert S. ...
SIAMNUM
2010
87views more  SIAMNUM 2010»
13 years 2 months ago
A Finite Element Method for Density Estimation with Gaussian Process Priors
Abstract. A variational problem characterizing the density estimator defined by the maximum a posteriori method with Gaussian process priors is derived. It is shown that this probl...
Michael Griebel, Markus Hegland
SIAMNUM
2010
120views more  SIAMNUM 2010»
13 years 2 months ago
Approximation of Bayesian Inverse Problems for PDEs
S. L. Cotter, M. Dashti, A. M. Stuart
SIAMNUM
2010
87views more  SIAMNUM 2010»
13 years 2 months ago
Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations
In this paper, we first study two flux recovery procedures for the conforming finite element approximation to general second-order elliptic partial differential equations. One is a...
Zhiqiang Cai, Shun Zhang
SIAMNUM
2010
141views more  SIAMNUM 2010»
13 years 2 months ago
A Multipoint Flux Mixed Finite Element Method on Hexahedra
We develop a mixed finite element method for elliptic problems on hexahedral grids that reduces to cell-centered finite differences. The paper is an extension of our earlier paper...
Ross Ingram, Mary F. Wheeler, Ivan Yotov
SIAMNUM
2010
91views more  SIAMNUM 2010»
13 years 2 months ago
Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements
Abstract. In [9], we introduced and analyzed a recovery-based a posteriori error estimator for conforming linear finite element approximation to interface problems. It was shown th...
Zhiqiang Cai, Shun Zhang
SIAMNUM
2010
145views more  SIAMNUM 2010»
13 years 2 months ago
Convergence of the MAC Scheme for the Compressible Stokes Equations
Robert Eymard, Thierry Gallouët, Raphaè...
SIAMNUM
2010
101views more  SIAMNUM 2010»
13 years 2 months ago
Convergence of a Regularized Euclidean Residual Algorithm for Nonlinear Least-Squares
Stefania Bellavia, Coralia Cartis, Nicholas I. M. ...