Direct method for a Cauchy problem with application to a Tokamak

被引：0

作者：

Mohsen Tadi ^{[1
]}

机构：

[1] Mechanical Engineering Department, Univerisity of Colorado Denver

来源：

Theoretical & Applied Mechanics Letters | 2019年 / 9 卷 / 04期

关键词：

Cauchy problem; Moment problem; Non-iterative; Tokamak;

D O I：

暂无

中图分类号：

TL631.24 [];

学科分类号：

摘要：

This note is concerned with a new direct(non-iterative) method for the solution of an elliptic inverse problem. This method is based on the application of the Green’s second identity which leads to a moment problem for the unknown boundary condition. Tikhonov regularization is used to obtain a stable and close approximation of the missing boundary condition without any need for iterations. Four examples are used to study the applicability of the method with the presence of noise.

引用

页码：254 / 259

页数：6

共 50 条

[1] Direct method for a Cauchy problem with application to a Tokamak
Tadi, Mohsen
THEORETICAL AND APPLIED MECHANICS LETTERS, 2019, 9 (04) : 254 - 259
[2] An Efficient Direct Method for Numerically Solving the Cauchy Problem for Laplace's Equation
Sorokin, S. B.
NUMERICAL ANALYSIS AND APPLICATIONS, 2019, 12 (01) : 87 - 103
[3] Spectral Galerkin method and its application to a Cauchy problem of Helmholtz equation
Xiong, Xiangtuan
Zhao, Xiaochen
Wang, Junxia
NUMERICAL ALGORITHMS, 2013, 63 (04) : 691 - 711
[4] An Efficient Direct Method for Numerically Solving the Cauchy Problem for Laplace’s Equation
S. B. Sorokin
Numerical Analysis and Applications, 2019, 12 : 87 - 103
[5] Spectral Galerkin method and its application to a Cauchy problem of Helmholtz equation
Xiangtuan Xiong
Xiaochen Zhao
Junxia Wang
Numerical Algorithms, 2013, 63 : 691 - 711
[6] RIEMANN METHOD AND THE PROBLEM OF CAUCHY
MARTIN, MH
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 57 (04) : 238 - 249
[7] A DIRECT METHOD IN THE CAUCHY PROBLEM FOR A QUASILINEAR HYPERBOLIC EQUATION INVOLVING 2 INDEPENDENT VARIABLES
GUSSI, G
POENARU, V
FOIASH, K
DOKLADY AKADEMII NAUK SSSR, 1957, 112 (03): : 381 - 382
[8] A HAAR WAVELETS-BASED DIRECT RECONSTRUCTION METHOD FOR THE CAUCHY PROBLEM OF THE POISSON EQUATION
Rashid, Sudad Musa
Nachaoui, Abdeljalil
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2025, 18 (01): : 148 - 168
[9] CAUCHY-PROBLEM WITH MULTIPLE CHARACTERISTICS - DIRECT METHOD TO GET GENERALIZED LEVI CONDITION
OHYA, Y
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1976, 282 (24): : 1433 - 1436
[10] Direct variational solutions of the tokamak equilibrium problem
Ludwig, GO
PLASMA PHYSICS AND CONTROLLED FUSION, 1997, 39 (12) : 2021 - 2037

← 1 2 3 4 5 →