Zobrazeno 1 - 10
of 13
pro vyhledávání: '"DIFENG CAI"'
Publikováno v:
SIAM Journal on Scientific Computing; 2024, Vol. 46 Issue 2, pS24-S50, 27p
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 43:1003-1028
Kernel methods are used frequently in various applications of machine learning. For large-scale high dimensional applications, the success of kernel methods hinges on the ability to operate certain large dense kernel matrix K. An enormous amount of l
Autor:
Jianlin Xia, Difeng Cai
Publikováno v:
ETNA - Electronic Transactions on Numerical Analysis. 54:581-609
Autor:
Difeng Cai
Publikováno v:
SSRN Electronic Journal.
Publikováno v:
Numerische Mathematik. 144:1-21
We present a patch-based equilibrated flux recovery procedure for the conforming finite element approximation to diffusion problems. The recovered flux is computed as the solution to a local constraint-free minimization problem on each patch. The app
Dissertation/ Thesis
Autor:
Difeng Cai (5929550)
The thesis presents a comprehensive study of a posteriori error estimation in the adaptive solution to some classical elliptic partial differential equations. Several new error estimators are proposed for diffusion problems with discontinuous coeffic
Autor:
Panayot S. Vassilevski, Difeng Cai
Publikováno v:
Computational Methods in Applied Mathematics. 20:61-78
We study approximations of eigenvalue problems for integral operators associated with kernel functions of exponential type. We show convergence rate | λ k - λ k , h | ≤ C k h 2 {\lvert\lambda_{k}-\lambda_{k,h}\rvert\leq C_{k}h^{2}} in the cas
Autor:
Difeng Cai, Zhiqiang Cai
Publikováno v:
Computer Methods in Applied Mechanics and Engineering. 339:320-340
This paper introduces a hybrid a posteriori error estimator for the conforming finite element method, which may be regarded as a combination of the explicit residual and the improved ZZ error estimators. With comparable cost, the hybrid estimator is
Publikováno v:
IPDPS
Hierarchical matrices are scalable matrix representations particularly suited to the case where the matrix entries are defined by a smooth kernel function evaluated between pairs of points. In this paper, we present a new scheme to alleviate the comp
Publikováno v:
Journal of Scientific Computing. 83
This paper introduces and analyzes an equilibrated a posteriori error estimator for mixed finite element approximations to the diffusion problem in two dimensions. The estimator, which is a generalization of those in Braess and Schoberl (Math Comput