On a general filter regularization method for the 2D and 3D Poisson equation in physical geodesy

被引：3

作者：

Nguyen Huy Tuan ^{[1
]}

Binh Thanh Tran ^{[2
]}

Le Dinh Long ^{[3
]}

机构：

[1] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

[2] Sai Gon Univ, Dept Math & Applicat, Ho Chi Minh City, Vietnam

[3] Inst Computat Sci & Technol, Environm Sci Lab, Ho Chi Minh City, Vietnam

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

关键词：

Poisson equation; Cauchy problem; ill-posed problem; convergence estimates; CAUCHY-PROBLEM; LAPLACE;

D O I：

10.1186/1687-1847-2014-258

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a Cauchy problem for the Poisson equation with nonhomogeneous source. The problem is shown to be ill-posed as the solution exhibits unstable dependence on the given data function. Using a new method, we regularize the given problem and obtain some new results. Two numerical examples are given to illustrate the effectiveness of our method.

引用

页数：21

共 50 条

[31] Method of converting a 2D image into a stereoscopic 3D image
Krasil'nikov, N. N.
Krasil'nikova, O. I.
JOURNAL OF OPTICAL TECHNOLOGY, 2014, 81 (02) : 68 - 74
[32] METHOD OF 2D AND 3D OBJECT RECOGNITION IN NONOPTIMAL CONDITIONS
HAKALAHTI, H
MORING, I
PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS, 1985, 521 : 24 - 33
[33] New 3D to 2D design method of clothing for teenagers
Popescu, Georgeta
Olaru, Sabina
Niculescu, Claudia
Foiasi, Traian
Salistean, Adrian
INDUSTRIA TEXTILA, 2019, 70 (04): : 299 - 302
[34] Kinematic registration in 3D using the 2D Reuleaux method
Eberharter, JK
Ravani, B
JOURNAL OF MECHANICAL DESIGN, 2006, 128 (02) : 349 - 355
[35] An Evaluation Study of 2D and 3D Teleconferencing for Remote Physical Therapy
Jun, Hanseul
Shaik, Husam
DeVeaux, Cyan
Lewek, Michael
Fuchs, Henry
Bailenson, Jeremy
PRESENCE-VIRTUAL AND AUGMENTED REALITY, 2022, 31 : 47 - 67
[36] The method of fundamental solutions for 2D and 3D Stokes problems
Young, DL
Jane, SJ
Fan, CM
Murugesan, K
Tsai, CC
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 211 (01) : 1 - 8
[37] Novel method of picture conversion from 2D to 3D
Hou, Chun-Ping
Yu, Si-Le
Tien Tzu Hsueh Pao/Acta Electronica Sinica, 2002, 30 (12): : 1861 - 1864
[38] 2D/3D registration with the CMA-ES method
Gong, Ren Hui
Abolmaesumi, Purang
MEDICAL IMAGING 2008: VISUALIZATION, IMAGE-GUIDED PROCEDURES, AND MODELING, PTS 1 AND 2, 2008, 6918
[39] Initial Pose Estimation Method in 2D/3D Registration
Sun, Tao
Guo, Ke
Liu, Chuanba
Zhang, Tao
Song, Yimin
Ma, Xinlong
Tianjin Daxue Xuebao (Ziran Kexue yu Gongcheng Jishu Ban)/Journal of Tianjin University Science and Technology, 2022, 55 (02): : 143 - 150
[40] Meshless solution of 2D and 3D Stokes flow using the radial basis integral equation method
Ooi, E. H.
Popov, V.
BOUNDARY ELEMENTS AND OTHER MESH REDUCTION METHODS XXXIV, 2012, 53 : 73 - 81

← 1 2 3 4 5 →