.png){kind=icon}
返回
Sparse adaptive finite elements for radiative transfer
.png){kind=icon}
PRE
AI
DOI：10.1016/j.jcp.2008.02.025.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The linear radiative transfer equation, a partial differential equation for the radiation intensity u(x, s), with independent variables x is an element of D subset of R-n in the physical domain D of dimension n = 2, 3, and angular variable s is an element of S-2 := {y is an element of R-3 : vertical bar y vertical bar = 1}, is solved in the n + 2-dimensional computational domain D x S-2. We propose an adaptive multilevel Galerkin finite element method (FEM) for its numerical solution. Our approach is based on (a) a stabilized variational formulation of the transport operator, (b) on so-called sparse tensor products of two hierarchic families of finite element spaces in H-1(D) and in L 2(S2), respectively, and (c) on wavelet thresholding techniques to adapt the discretization to the underlying problem. An a priori error analysis shows, under strong regularity assumptions on the solution, that the sparse tensor product method is clearly superior to a discrete ordinates method, as it converges with essentially optimal asymptotic rates while its complexity grows essentially only as that for a linear transport problem in R-n. Numerical experiments for n = 2 on a set of example problems agree with the convergence and complexity analysis of the method and show that introducing adaptivity can improve performance in terms of accuracy vs. number of degrees even further. (c) 2008 Elsevier Inc. All rights reserved.
Keyword:
radiative transfer
wavelet finite elements
sparse grids
adaptive finite elements
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.8
论文数:
1.6W
被引数:
7.4W
机构
引用论文
.png){kind=icon}
Time Course of Grouping by Proximity and Similarity in a Haptic Speeded Orientation Task邻近性和相似性分组的时间进程：一项触觉快速定向任务研究
PREAI
分享收藏Develop Solderability and welding heat source of the Kovar/Ag interconnector based on finite element simulation基于有限元模拟开发Kovar/Ag互连件的焊料可焊性和焊接热源
PREAI
分享收藏
查看更多内容