A Multigrid Method for Adaptive Sparse Grids
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Publication:3196656
DOI10.1137/140974985OpenAlexW2216935333MaRDI QIDQ3196656
Hans-Joachim Bungartz, Benjamin Peherstorfer, Christoph Zenger, Stefan Zimmer
Publication date: 30 October 2015
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/1721.1/100938
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
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Cites Work
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- Fast matrix-vector multiplication in the sparse-grid Galerkin method
- Dimension-wise integration of high-dimensional functions with applications to finance
- Spatially adaptive sparse grids for high-dimensional data-driven problems
- The smoothing effect of the ANOVA decomposition
- The combination technique and some generalisations
- Multilevel frames for sparse tensor product spaces
- An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations
- The jackknife estimate of variance
- Adaptive sparse grid multilevel methods for elliptic PDEs based on finite differences
- On additive Schwarz preconditioners for sparse grid discretizations
- A multigrid algorithm for higher order finite elements on sparse grids
- A multilevel algorithm for the solution of second order elliptic differential equations on sparse grids
- Sparse finite elements for stochastic elliptic problems --- higher order moments
- General foundations of high-dimensional model representations
- Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems
- Optimal scaling parameters for sparse grid discretizations
- On a Multilevel Preconditioner and its Condition Numbers for the Discretized Laplacian on Full and Sparse Grids in Higher Dimensions
- Selected Recent Applications of Sparse Grids
- Convergence of the Combination Technique for Second-Order Elliptic Differential Equations
- The smoothing effect of integration in $\mathbb {R}^d$ and the ANOVA decomposition
- On the Convergence of the Combination Technique
- Sparse grids
- Efficientd-multigrid preconditioners for sparse-grid solution of high-dimensional partial differential equations