On the numerical solution of a Cauchy problem for the Laplace equation via a direct integral equation approach
暂无分享,去创建一个
[1] P. Kythe. Green's Functions and Linear Differential Equations: Theory, Applications, and Computation , 2011 .
[2] Dinh Nho Hào,et al. Methods for inverse heat conduction problems , 1998 .
[3] Fioralba Cakoni,et al. Integral equations for inverse problems in corrosion detection from partial Cauchy data , 2007 .
[4] L. Payne,et al. Improperly Posed Problems in Partial Differential Equations , 1987 .
[6] N. Tarkhanov,et al. The Cauchy Problem for Solutions of Elliptic Equations , 1995 .
[7] A. Calderón,et al. Uniqueness in the Cauchy Problem for Partial Differential Equations , 1958 .
[8] R. Kress,et al. A hybrid method for inverse boundary value problems in potential theory , 2005 .
[9] Teresa Regińska,et al. Regularization of Discrete Ill-Posed Problems , 2004 .
[10] Jeong-Rock Yoon,et al. A NUMERICAL METHOD FOR CAUCHY PROBLEM USING SINGULAR VALUE DECOMPOSITION , 2001 .
[11] David S. Holder,et al. Electrical Impedance Tomography : Methods, History and Applications , 2004 .
[12] Liviu Marin,et al. Relaxation procedures for an iterative MFS algorithm for two-dimensional steady-state isotropic heat conduction Cauchy problems , 2011 .
[13] Bin He,et al. Estimating cortical potentials from scalp EEG's in a realistically shaped inhomogeneous head model by means of the boundary element method. , 1999, IEEE transactions on bio-medical engineering.
[14] B. Johansson,et al. A Variational Method and Approximations of a Cauchy Problem for Elliptic Equations , 2010 .
[15] M. M. Lavrentiev,et al. Some Improperly Posed Problems of Mathematical Physics , 1967 .
[16] Daniel Lesnic,et al. The method of fundamental solutions for the Cauchy problem associated with two-dimensional Helmholtz-type equations , 2005 .
[17] Y. Hon,et al. A MESHLESS SCHEME FOR SOLVING INVERSE PROBLEMS OF LAPLACE EQUATION , 2003 .
[18] T. Baranger,et al. Leak identification in porous media by solving the Cauchy problem , 2007 .
[19] B. Tomas Johansson,et al. An alternating boundary integral based method for a Cauchy problem for the Laplace equation in semi-infinite regions , 2008 .
[20] Rainer Kress,et al. On the numerical solution of a hypersingular integral equation in scattering theory , 1995 .
[21] R. Kress,et al. Nonlinear integral equations and the iterative solution for an inverse boundary value problem , 2005 .
[22] Martin Hanke,et al. Recent progress in electrical impedance tomography , 2003 .
[23] Sergei V. Pereverzev,et al. A Carleman estimate and the balancing principle in the quasi-reversibility method for solving the Cauchy problem for the Laplace equation , 2009 .
[24] Fioralba Cakoni,et al. Integral equations for shape and impedance reconstruction in corrosion detection , 2010 .