However, a large-scale parallel computer cannot usefully be designed before the hypothetical algorithms which will employ it are studied. Most of the studies of parallel partial differential equations (PDE) solvers are based on solution techniques much slower (on sequential machines) than multigrid ...
Multigrid solvers face multiple challenges on parallel computers. Two fundamental ones read as follows: Multiplicative solvers issue coarse grid solves which exhibit low concurrency and many multigrid implementations suffer from an expensive coarse grid identification phase plus adaptive mesh refinement over...
These are preconditioning techniques that would normally not be used on a standard machine, but only for parallel computers. Three such types of techniques discussed in this chapter: The simplest approach is to use a Jacobi or, even better, a block Jacobi approach. In the simplest case, a ...
The FAS approach has been shown to work effectively on this problem in parallel across multiple CPU cores, [20,31], and has recently been applied successfully in other fluid flow applications on GPUs [45]. Whilst the AMG implementation used in this work is inherently sequential, [6,26], ...
HYPRE is a library of high performance preconditioners and solvers featuring multigrid methods for the solution of large, sparse linear systems of equations on massively parallel computers.For documentation, see our readthedocs page.For information on code development, build requirements, publications, and...
Numerical Solution of Partial Differential Equations on Parallel Computers, pp. 209–236. Springer, Heidelberg (2006), http://www.llnl.gov/CASC/hypre/ CrossRef Poole, G., Liu, Y.-C., Mandel, J.: Advancing analysis capabilities in ANSYS through solver technology. Electr. Trans. Numer. ...
This paper presents the development of parallel algebraic multigrid solvers on NVIDIA GPUs. A classical algebraic multigrid solver and a smoothed aggregation algebraic multigrid solver are implemented. The W-cycle, F-cycle and V-cycle are investigated. Various coarsening strategies and interpolation operat...
on top of the innovative programming model dynamic distributed data (DDD). Newly introduced modules and extensions of DDD are discussed. Local multigrid methods are introduced as optimal linear solvers in the solution process. The demands of local parallel mesh adaptation are further described: Beside...
一,Iterative Method 《Iterative Method for Sparse Linear System》 Pre. 线性代数的本质 行列式:面积的缩放倍数 特征向量:矩阵变换后,某方向的向量不发生旋转(仅发生缩放,缩放倍数为特征值) Gaussian Elimination:高斯消元,可理解为矩阵的行变换。 Matrix Polynomial:p(A)=a0I+a1A+a2A2+...+anAn ...
Security Insights Additional navigation options master BranchesTags Code This branch is268 commits behindhypre-space/hypre:master. Folders and files Name Last commit message Last commit date Latest commit waynemitchell SYCL IJ without unified memory (hypre-space#676) ...