SIMULATION OF ELLIPTIC EQUATIONS USING COMPUTER STRUCTURES.

被引:0
作者
Zolotovskii, V.E.
机构
关键词
ELLIPTIC EQUATIONS;
D O I
暂无
中图分类号
学科分类号
摘要
The article considers the creation from a processor decision element of a computer structure intended to solve partial differential equations and, in particular, elliptic equations. It is shown that all the requirements involved are best met by an element that realizes the operator Z equals (A//1C//1 plus AC)/BD, where A//1, C//1, A, C, B, D are operators in turn. A processor put together from these elements makes it possible to automate the approximation procedure for the initial equation. The process of solving elliptic equations using a computer structure consisting of the proposed processors is investigated. The iteration method and the spatial scanning method are considered as simulation methods.
引用
收藏
页码:78 / 84
相关论文
共 50 条
[31]   Multiple solutions for elliptic equations with quasilinear perturbation [J].
Liu, Xiangqing ;
Zhao, Junfang ;
Liu, Jiaquan .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 495 (01)
[32]   Inverse coefficient problems for nonlinear elliptic equations [J].
Yang, Runsheng ;
Ou, Yunhua .
ANZIAM JOURNAL, 2007, 49 :271-279
[33]   Regularity of solutions of divergence form elliptic equations [J].
Ragusa, MA .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (02) :533-540
[34]   Elliptic equations with BMO nonlinearity in Reifenberg domains [J].
Byun, Sun-Sig ;
Wang, Lihe .
ADVANCES IN MATHEMATICS, 2008, 219 (06) :1937-1971
[35]   Regularity of Solutions to Elliptic Equations with VMO Coefficients [J].
Ye Min Chen .
Acta Mathematica Sinica, 2004, 20 :1103-1118
[36]   Topological monsters in elliptic equations and spectral theory [J].
Enciso, Alberto ;
Peralta-Salas, Daniel .
EMS SURVEYS IN MATHEMATICAL SCIENCES, 2016, 3 (01) :107-130
[37]   Chaotic multigrid methods for the solution of elliptic equations [J].
Hawkes, J. ;
Vaz, G. ;
Phillips, A. B. ;
Klaij, C. M. ;
Cox, S. J. ;
Turnock, S. R. .
COMPUTER PHYSICS COMMUNICATIONS, 2019, 237 :26-36
[38]   Nontrivial solutions for a class of superquadratic elliptic equations [J].
Li, Chun ;
Ou, Zeng-Qi ;
Tang, Chun-Lei .
STUDIA MATHEMATICA, 2013, 214 (03) :223-236
[39]   A spectral method for elliptic equations: the Neumann problem [J].
Atkinson, Kendall ;
Hansen, Olaf ;
Chien, David .
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2011, 34 (03) :295-317
[40]   ON WEAK SOLUTIONS OF ELLIPTIC EQUATIONS WITH SINGULAR DRIFTS [J].
Kim, Hyunseok ;
Kim, Young-Heon .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2015, 47 (02) :1271-1290