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INTEGRAL_EQUATION: 作品数：231被引量：222H指数：6; 导出分析报告; 相关作者：刘岩李功胜余海涛苏京勋刘继军更多>>; 相关机构：福州大学东南大学北京理工大学黄河水利职业技术学院更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>

A DISCRETIZING LEVENBERG-MARQUARDT SCHEME FOR SOLVING NONLIEAR ILL-POSED INTEGRAL EQUATIONS: 《Journal of Computational Mathematics》2022年第5期686-710,共25页Rong Zhang Hongqi Yang; Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University(2020B1212060032);Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques(400440);the Foundation of Education Committee of Jiangxi,China(GJJ201436);National Natural Science Foundation of China under grants 11571386 and 11761010.; To reduce the computational cost,we propose a regularizing modified LevenbergMarquardt scheme via multiscale Galerkin method for solving nonlinear ill-posed problems.Convergence results for the regularizing modified L...; 关键词：The regularizing Levenberg-Marquardt scheme Multiscale Galerkin methods Nonlinear ill-posed problems Heuristic parameter choice rule Optimal convergence rate.

DIRECT IMPLEMENTATION OF TIKHONOV REGULARIZATION FOR THE FIRST KIND INTEGRAL EQUATION: 《Journal of Computational Mathematics》2022年第3期335-353,共19页Meisam Jozi Saeed Karimi; supported by the Iran National Science Foundation(INSF)[Grant No.96014705];supporting the project“Direct implementation of Tikhonov regularization for the first kind integral equations”.; A common way to handle the Tikhonov regularization method for the first kind Fredholm integral equations,is first to discretize and then to work with the final linear system.This unavoidably inflicts discretization er...; 关键词：First kind integral equation Golub-Kahan bidiagonalization Tikhonov regularization Quadrature Discretization

THE COUPLING OF NBEM AND FEM FOR QUASILINEAR PROBLEMS IN A BOUNDED OR UNBOUNDED DOMAIN WITH A CONCAVE ANGLE被引量：1: 《Journal of Computational Mathematics》2013年第3期308-325,共18页Baoqing Liu Qikui Du; Acknowledgments. We would like to thank the reviewers for their valuable comments which improve the paper. This research is partly supported by the National Natural Science Foundation of China contact/grant number： 11071109; Foundation for Innovative Program of Jiangsu Province, contact/grant number： CXZZ12_0383 and CXZZ11_0870.; Based on the Kirchhoff transformation and the natural boundary element method, we investigate a coupled natural boundary element method and finite element method for quasi-linear problems in a bounded or unbounded dom...; 关键词：Quasilinear elliptic equation Concave angle domain Natural integral equation

A SIMPLE PRECONDITIONED DOMAIN DECOMPOSITION METHOD FOR ELECTROMAGNETIC SCATTERING PROBLEMS: 《Journal of Computational Mathematics》2013年第1期1-21,共21页F. Alouges J. Bo-urguignon-Mirebeau - I D.P. Levadoux; We present a domain decomposition method （DDM） devoted to the iterative solution of time-harmonic electromagnetic scattering problems, involving large and resonant cavities. This DDM uses the electric field integral...; 关键词：Electromagnetism integral equations methods Domain decomposition meth-ods Preconditioning Cavities.

A ROBUST AND ACCURATE SOLVER OF LAPLACE＇S EQUATION WITH GENERAL BOUNDARY CONDITIONS ON GENERAL DOMAINS IN THE PLANE: 《Journal of Computational Mathematics》2012年第4期433-448,共16页Rikard Ojala; A robust and general solver for Laplace＇s equation on the interior of a simply connected domain in the plane is described and tested. The solver handles general piecewise smooth domains and Dirichlet, Neumann, and Ro...; 关键词：Laplace＇s equation Integral equations Mixed boundary conditions Robinboundary conditions.

NUMERICAL SOLUTION OF THE SCATTERING PROBLEM FOR ACOUSTIC WAVES BY A TWO-SIDED CRACK IN 2-DIMENSIONAL SPACE被引量：1: 《Journal of Computational Mathematics》2011年第2期141-166,共26页Jijun Liu P.A. Krutitskii M. Sini; The authors would like to thank the referees for their valuable comments and suggestions which lead to an improved version of this paper. The work of the first author is supported by NSFC（No.10771033）. The first and second authors thank RICAM （Austrian Academy of Sciences） for the hospitality during the special semester on computational biology in 2007 in Linz. The third author is supported by the Austrian science foundation FWF via the project SFB F013/1308. The authors also want to thank Prof. Valentina Kolybasova and H.F.Zhao for their contributions in constructing Example 3.; The wave scattering problem by a crack F in R2 with impedance type boundary is considered. This problem models the diffraction of waves by thin two-sided cylindrical screens. A numerical method for solving the problem...; 关键词：Wave scattering Impedance boundary Integral equations Singularity analysis Numerics.

ANISOTROPIC POLARIZATION TENSORS FOR ELLIPSES AND ELLIPSOIDS: 《Journal of Computational Mathematics》2007年第2期157-168,共12页Hyeonbae Kang Kyoungsun Kim; Partly supported by Korea Science and Engineering Foundation grant R02-2003-000-10012-0;Brain Korea 21 at the School of Mathematical of Seoul National University; In this paper we present a systematic way of computing the polarization tensors, anisotropic as well as isotropic, based on the boundary integral method. We then use this method to compute the anisotropic polarization...; 关键词：Anisotropic polarization tensor Integral equation ELLIPSOID

A BOUNDARY INTEGRAL METHOD FOR COMPUTING ELASTIC MOMENT TENSORS FOR ELLIPSES AND ELLIPSOIDS被引量：1: 《Journal of Computational Mathematics》2007年第1期2-12,共11页Habib Ammari HyeonbaeKang HyundaeLee; Partly supported by Korea Science and Engineering Foundation grant R02-2003-000-10012-0.; The concept of elastic moment tensor occurs in several interesting contexts, in particular in imaging small elastic inclusions and in asymptotic models of dilute elastic composites. In this paper, we compute the elast...; 关键词：Elastic moment tensor Explicit formulae Integral equations.

A FAST NUMERICAL METHOD FOR INTEGRAL EQUATIONS OF THE FIRST KIND WITH LOGARITHMIC KERNEL USING MESH GRADING被引量：1: 《Journal of Computational Mathematics》2004年第2期287-298,共12页Qi-yuanChen TaoTang Zhen-huanTeng; The aim of this paper is to develop a fast numerical method for two-dimensional boundary integral equations of the first kind with logarithm kernels when the boundary of the domain is smooth and closed. In this case, ...

THE NUMERICAL SOLUTION OF FIRST KIND INTEGRAL EQUATION FOR THE HELMHOLTZ EQUATION ON SMOOTH OPEN ARCS被引量：1: 《Journal of Computational Mathematics》2001年第5期489-500,共12页Tang, WJ Fu, HY Shen, LJ; the National Natural Science Foundation of China 19901004-1.; Presents a study which proposed a numerical solution of first kind integral equation for the Helmholtz equation on smooth open arcs. Quadrature method used; Numerical examples.; 关键词：Helmholtz equation quadrature method

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