The study and numerical solution of some inverse problems in simulation of hydrophysical fields in water areas with 'liquid' boundaries

被引：8

作者：

Agoshkov, Valery I. ^{[1
,2
,3
]}

Sheloput, Tatiana O. ^{[1
]}

机构：

[1] RAS, Inst Numer Math, Moscow 119333, Russia

[2] State Univ, Moscow Inst Phys & Technol, Dolgoprudnyi 141701, Russia

[3] Moscow MV Lomonosov State Univ, Moscow 119991, Russia

来源：

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2017年 / 32卷 / 03期

基金：

俄罗斯科学基金会; 俄罗斯基础研究基金会;

关键词：

Inverse problems; open boundaries; existence of solutions; methods of adjoint equations; numerical methods; solution algorithms; variational data assimilation; regularization; DATA ASSIMILATION; FREE-SURFACE; EQUATIONS; MODEL;

D O I：

10.1515/rnam-2017-0013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some inverse problems related to mathematical modelling of hydrophysical fields in water areas (seas and oceans) under the presence of 'liquid' (open) boundaries are studied and solved numerically in the paper. Numerical solution algorithms for these problems are based on procedures of variational data assimilation.

引用

页码：147 / 164

页数：18

共 25 条

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[4] Agoshkov V. I., 2012, THEORY SOLUTION METH
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Agoshkov, Valery I.
[J]. RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2017, 32 (02) : 73 - 90
[6] The study and numerical solution of the problem of heat and salinity transfer assuming 'liquid' boundaries
Agoshkov, Valery I.
Sheloput, Tatiana O.
[J]. RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2016, 31 (02) : 71 - 80
[7] [Anonymous], 1971, Linear Equations in a Banach Spaces
[8] [Anonymous], 1977, Variational Methods in Mathematics, Science and Engineering
[9] Chernov I. A., 2014, P KARELIAN RES CTR R, P137
[10] Dement'eva E. V., 2013, SIB J IND MATH, V16, P10

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