Results 21 to 30 of about 480,227 (294)
A sparse decomposition of low rank symmetric positive semi-definite matrices [PDF]
Suppose that $A \in \mathbb{R}^{N \times N}$ is symmetric positive semidefinite with rank $K \le N$. Our goal is to decompose $A$ into $K$ rank-one matrices $\sum_{k=1}^K g_k g_k^T$ where the modes $\{g_{k}\}_{k=1}^K$ are required to be as sparse as ...
Hou, Thomas Y. +2 more
core +3 more sources
Multiphase, compositional porous media flow models lead to the solution of highly heterogeneous systems of Partial Differential Equations (PDE). We focus on overlapping Schwarz type methods on parallel computers and on multiscale methods.
Dolean Victorita +4 more
doaj +1 more source
Large-scale wave-front reconstruction for adaptive optics systems by use of a recursive filtering algorithm [PDF]
We propose a new recursive filtering algorithm for wave-front reconstruction in a large-scale adaptive optics system. An embedding step is used in this recursive filtering algorithm to permit fast methods to be used for wave-front reconstruction on an ...
Britton, Matthew +2 more
core +1 more source
Adaptive Aggregation Based Domain Decomposition Multigrid for the Lattice Wilson Dirac Operator [PDF]
In lattice QCD computations a substantial amount of work is spent in solving discretized versions of the Dirac equation. Conventional Krylov solvers show critical slowing down for large system sizes and physically interesting parameter regions.
Frommer, Andreas +4 more
core +2 more sources
A Posteriori Error Estimates for the Generalized Overlapping Domain Decomposition Methods
A posteriori error estimates for the generalized overlapping domain decomposition method (GODDM) (i.e., with Robin boundary conditions on the interfaces), for second order boundary value problems, are derived.
Hakima Benlarbi, Ahmed-Salah Chibi
doaj +1 more source
Generating Equidistributed Meshes in 2D via Domain Decomposition
In this paper we consider Schwarz domain decomposition applied to the generation of 2D spatial meshes by a local equidistribution principle. We briefly review the derivation of the local equidistribution principle and the appropriate choice of boundary ...
Haynes, Ronald D. +1 more
core +1 more source
A User-Based Cross Domain Collaborative Filtering Algorithm Based on a Linear Decomposition Model
Sparsity is a tough problem in a single domain collaborative filtering (CF) recommendation system as it is difficult to compute the similarities among users accurately. Recently, cross domain CF is a new way to alleviate this difficulty.
Xu Yu +3 more
doaj +1 more source
Algebraic Domain Decomposition Methods for Highly Heterogeneous Problems [PDF]
International audienceWe consider the solving of linear systems arising from porous media flow simulations with high heterogeneities. Using a Newton algorithm to handle the non-linearity leads to the solving of a sequence of linear systems with different
Have, Pascal +5 more
core +4 more sources
Time integration and the Trefftz Method Part I - First-order and parabolic problems
The finite element method is applied in the time domain to establish formulations for the integration of first-order and parabolic (transient) problems. The modal decomposition concept is applied using two distinct approaches.
João A. Teixeira de Freitas
doaj
Actual problems in science and industrial applications are modeled by multi-materials and large-scale unstructured mesh, and the finite element analysis has been widely used to solve such problems on the parallel computer.
Masao OGINO
doaj +1 more source

