-
1
-
-
0001464670
-
Examples of instability in inverse boundary-value problems
-
0882.35127 1463583
-
G Alessandrini 1997 Examples of instability in inverse boundary-value problems Inverse Problems 13 4 887 897 0882.35127 1463583
-
(1997)
Inverse Problems
, vol.13
, Issue.4
, pp. 887-897
-
-
Alessandrini, G.1
-
2
-
-
0036798099
-
Detecting cavities by electrostatic boundary measurements
-
1010.35117 1943396
-
G Alessandrini A Morassi E Rosset 2002 Detecting cavities by electrostatic boundary measurements Inverse Problems 18 5 1333 1353 1010.35117 1943396
-
(2002)
Inverse Problems
, vol.18
, Issue.5
, pp. 1333-1353
-
-
Alessandrini, G.1
Morassi, A.2
Rosset, E.3
-
3
-
-
0036684771
-
An inverse boundary problem for the steady-diffusion equation with moving boundaries with applications to the pearlite-austenite transformation in steel
-
1087.74607 1929279
-
ND Aparicio C Atkinson 2002 An inverse boundary problem for the steady-diffusion equation with moving boundaries with applications to the pearlite-austenite transformation in steel Inverse Problems 18 4 1013 1023 1087.74607 1929279
-
(2002)
Inverse Problems
, vol.18
, Issue.4
, pp. 1013-1023
-
-
Aparicio, N.D.1
Atkinson, C.2
-
4
-
-
5844311098
-
A one-phase inverse Stefan problem
-
0943.35102 1733214
-
AEl Badia F Moutazaim 1999 A one-phase inverse Stefan problem Inverse Problems 15 6 1507 1522 0943.35102 1733214
-
(1999)
Inverse Problems
, vol.15
, Issue.6
, pp. 1507-1522
-
-
Ael, B.1
Moutazaim, F.2
-
5
-
-
0032271479
-
Stable determination of boundaries from Cauchy data
-
(electronic)
-
Beretta E, Vessella S (1999) Stable determination of boundaries from Cauchy data. SIAM J Math Anal 30(1):220-232 (electronic)
-
(1999)
SIAM J Math Anal
, vol.30
, Issue.1
, pp. 220-232
-
-
Beretta, E.1
Vessella, S.2
-
6
-
-
13744263916
-
Reconstruction of an unknown boundary portion from Cauchy data in n dimensions
-
DOI 10.1088/0266-5611/21/1/015
-
K Bryan L Caudill 2005 Reconstruction of an unknown boundary portion from Cauchy data in n dimensions Inverse Problems 21 1 239 255 1086.35125 2146174 (Pubitemid 40238425)
-
(2005)
Inverse Problems
, vol.21
, Issue.1
, pp. 239-255
-
-
Bryan, K.1
Caudill, L.2
-
7
-
-
0030164963
-
An inverse problem in thermal imaging
-
0854.35125 1389750
-
K Bryan LF Caudill Jr. 1996 An inverse problem in thermal imaging SIAM J Appl Math 56 3 715 735 0854.35125 1389750
-
(1996)
SIAM J Appl Math
, vol.56
, Issue.3
, pp. 715-735
-
-
Bryan, K.1
Caudill, Jr.L.F.2
-
8
-
-
0000298012
-
Stability and reconstruction for an inverse problem for the heat equation
-
0914.35152 1662444
-
K Bryan LF Caudill Jr. 1998 Stability and reconstruction for an inverse problem for the heat equation Inverse Problems 14 6 1429 1453 0914.35152 1662444
-
(1998)
Inverse Problems
, vol.14
, Issue.6
, pp. 1429-1453
-
-
Bryan, K.1
Caudill, Jr.L.F.2
-
9
-
-
0002501436
-
Conditional stability in an inverse problem of determining a non-smooth boundary
-
0951.35132 1738489
-
AL Bukhgeim J Cheng M Yamamoto 2000 Conditional stability in an inverse problem of determining a non-smooth boundary J Math Anal Appl 242 1 57 74 0951.35132 1738489
-
(2000)
J Math Anal Appl
, vol.242
, Issue.1
, pp. 57-74
-
-
Bukhgeim, A.L.1
Cheng, J.2
Yamamoto, M.3
-
11
-
-
0035981912
-
Quantitative estimates of unique continuation for parabolic equations and inverse initial-boundary value problems with unknown boundaries
-
(electronic)
-
Canuto B, Rosset E, Vessella S (2002) Quantitative estimates of unique continuation for parabolic equations and inverse initial-boundary value problems with unknown boundaries. Trans Am Math Soc 354(2):491-535 (electronic)
-
(2002)
Trans Am Math Soc
, vol.354
, Issue.2
, pp. 491-535
-
-
Canuto, B.1
Rosset, E.2
Vessella, S.3
-
12
-
-
0041012141
-
On the numerical solution of an inverse boundary value problem for the heat equation
-
0917.35157 1642528
-
R Chapko R Kress JR Yoon 1998 On the numerical solution of an inverse boundary value problem for the heat equation Inverse Problems 14 4 853 867 0917.35157 1642528
-
(1998)
Inverse Problems
, vol.14
, Issue.4
, pp. 853-867
-
-
Chapko, R.1
Kress, R.2
Yoon, J.R.3
-
13
-
-
0033363588
-
An inverse boundary value problem for the heat equation: The Neumann condition
-
1044.35527 1710605
-
R Chapko R Kress JR Yoon 1999 An inverse boundary value problem for the heat equation: the Neumann condition Inverse Problems 15 4 1033 1046 1044.35527 1710605
-
(1999)
Inverse Problems
, vol.15
, Issue.4
, pp. 1033-1046
-
-
Chapko, R.1
Kress, R.2
Yoon, J.R.3
-
14
-
-
3042554530
-
A comparison of the Landweber method and the Gauss-Newton method for an inverse parabolic boundary value problem
-
1056.65093 2071269
-
R Chapko P Kügler 2004 A comparison of the Landweber method and the Gauss-Newton method for an inverse parabolic boundary value problem J Comput Appl Math 169 1 183 196 1056.65093 2071269
-
(2004)
J Comput Appl Math
, vol.169
, Issue.1
, pp. 183-196
-
-
Chapko, R.1
Kügler, P.2
-
18
-
-
0032344733
-
The method of fundamental solutions for elliptic boundary value problems
-
G Fairweather A Karageorghis 1998 The method of fundamental solutions for elliptic boundary value problems Adv Comput Math 9 1-2 69 95 0922.65074 1662760 (Pubitemid 128403959)
-
(1998)
Advances in Computational Mathematics
, vol.9
, Issue.1-2
, pp. 69-95
-
-
Fairweather, G.1
Karageorghis, A.2
-
19
-
-
10844280684
-
A boundary identification method for an inverse heat conduction problem with an application in ironmaking
-
TP Fredman 2004 A boundary identification method for an inverse heat conduction problem with an application in ironmaking Heat Mass Transfer 41 95 103
-
(2004)
Heat Mass Transfer
, vol.41
, pp. 95-103
-
-
Fredman, T.P.1
-
20
-
-
0000776101
-
The method of fundamental solutions for potential, Helmholtz and diffusion problems
-
Golberg MA (ed) Boston, MA
-
Golberg MA, Chen CS (1999) The method of fundamental solutions for potential, Helmholtz and diffusion problems. In: Golberg MA (ed) Boundary integral methods: numerical and mathematical aspects, vol 1 of Comput. Eng. WIT Press/Comput. Mech. Publ., Boston, MA, pp 103-176
-
(1999)
Boundary Integral Methods: Numerical and Mathematical Aspects, Vol 1 of Comput. Eng. WIT Press/Comput. Mech. Publ.
, pp. 103-176
-
-
Golberg, M.A.1
Chen, C.S.2
-
22
-
-
18744366101
-
Conformal mappings and inverse boundary value problems
-
1071.35123 2146814
-
H Haddar R Kress 2005 Conformal mappings and inverse boundary value problems Inverse Problems 21 3 935 953 1071.35123 2146814
-
(2005)
Inverse Problems
, vol.21
, Issue.3
, pp. 935-953
-
-
Haddar, H.1
Kress, R.2
-
23
-
-
0001273835
-
Regularization methods for large-scale problems
-
0805.65058 1253521
-
M Hanke PC Hansen 1993 Regularization methods for large-scale problems Surveys Math Indust 3 4 253 315 0805.65058 1253521
-
(1993)
Surveys Math Indust
, vol.3
, Issue.4
, pp. 253-315
-
-
Hanke, M.1
Hansen, P.C.2
-
24
-
-
0000570697
-
Analysis of discrete ill-posed problems by means of the L-curve
-
0770.65026 1193012
-
PC Hansen 1992 Analysis of discrete ill-posed problems by means of the L-curve SIAM Rev 34 4 561 580 0770.65026 1193012
-
(1992)
SIAM Rev
, vol.34
, Issue.4
, pp. 561-580
-
-
Hansen, P.C.1
-
25
-
-
13344267706
-
Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
-
0789.65029 1260397
-
PC Hansen 1994 Regularization tools: a Matlab package for analysis and solution of discrete ill-posed problems Numer Algorithms 6 1-2 1 35 0789.65029 1260397
-
(1994)
Numer Algorithms
, vol.6
, Issue.12
, pp. 1-35
-
-
Hansen, P.C.1
-
26
-
-
0001632418
-
The use of the L-curve in the regularization of discrete ill-posed problems
-
0789.65030 1241596
-
PC Hansen DP O'Leary 1993 The use of the L-curve in the regularization of discrete ill-posed problems SIAM J Sci Comput 14 6 1487 1503 0789.65030 1241596
-
(1993)
SIAM J Sci Comput
, vol.14
, Issue.6
, pp. 1487-1503
-
-
Hansen, P.C.1
O'Leary, D.P.2
-
27
-
-
1842842972
-
A fundamental solution method for inverse heat conduction problem
-
1073.80002
-
YC Hon T Wei 2004 A fundamental solution method for inverse heat conduction problem Eng Anal Bound Elem 28 489 495 1073.80002
-
(2004)
Eng Anal Bound Elem
, vol.28
, pp. 489-495
-
-
Hon, Y.C.1
Wei, T.2
-
28
-
-
15544363903
-
The method of fundamental solution for solving multidimensional inverse heat conduction problems
-
1114.80004 2123917
-
YC Hon T Wei 2005 The method of fundamental solution for solving multidimensional inverse heat conduction problems Comput Model Eng Sci 7 2 119 132 1114.80004 2123917
-
(2005)
Comput Model Eng Sci
, vol.7
, Issue.2
, pp. 119-132
-
-
Hon, Y.C.1
Wei, T.2
-
29
-
-
4043050160
-
Corrosion detection in conducting boundaries
-
1074.35088 2087986
-
G Inglese F Mariani 2004 Corrosion detection in conducting boundaries Inverse Problems 20 4 1207 1215 1074.35088 2087986
-
(2004)
Inverse Problems
, vol.20
, Issue.4
, pp. 1207-1215
-
-
Inglese, G.1
Mariani, F.2
-
31
-
-
33644595481
-
A meshless method for some inverse problems associated with the Helmholtz equation
-
1123.65111 2207473
-
B Jin Y Zheng 2006 A meshless method for some inverse problems associated with the Helmholtz equation Comput Methods Appl Mech Eng 195 19-22 2270 2288 1123.65111 2207473
-
(2006)
Comput Methods Appl Mech Eng
, vol.195
, Issue.1922
, pp. 2270-2288
-
-
Jin, B.1
Zheng, Y.2
-
32
-
-
0005144738
-
A mathematical study of the charge simulation method. II
-
Katsurada M (1989) A mathematical study of the charge simulation method. II. J Fac Sci Univ Tokyo Sect IA Math 36:135-162
-
(1989)
J Fac Sci Univ Tokyo Sect IA Math
, vol.36
, pp. 135-162
-
-
Katsurada, M.1
-
33
-
-
0000961906
-
A mathematical study of the charge simulation method. i
-
0662.65100 965011
-
M Katsurada H Okamoto 1988 A mathematical study of the charge simulation method. I J Fac Sci Univ Tokyo Sect IA Math 35 3 507 518 0662.65100 965011
-
(1988)
J Fac Sci Univ Tokyo Sect IA Math
, vol.35
, Issue.3
, pp. 507-518
-
-
Katsurada, M.1
Okamoto, H.2
-
34
-
-
0021466296
-
An inverse finite element technique to determine the change of phase interface location in one dimensional melting problem
-
MA Katz R Reemtsen 1984 An inverse finite element technique to determine the change of phase interface location in one dimensional melting problem Numer Heat Transfer 7 269 283
-
(1984)
Numer Heat Transfer
, vol.7
, pp. 269-283
-
-
Katz, M.A.1
Reemtsen, R.2
-
35
-
-
23244456330
-
Nonlinear integral equations and the iterative solution for an inverse boundary value problem
-
1086.35139 2158105
-
R Kress W Rundell 2005 Nonlinear integral equations and the iterative solution for an inverse boundary value problem Inverse Problems 21 4 1207 1223 1086.35139 2158105
-
(2005)
Inverse Problems
, vol.21
, Issue.4
, pp. 1207-1223
-
-
Kress, R.1
Rundell, W.2
-
36
-
-
0008215313
-
On a method for the approximation solution of limiting problems in mathematical physics
-
174183
-
VD Kupradze 1964 On a method for the approximation solution of limiting problems in mathematical physics USSR Comput Maths Math Phys 4 1118 1121 174183
-
(1964)
USSR Comput Maths Math Phys
, vol.4
, pp. 1118-1121
-
-
Kupradze, V.D.1
-
37
-
-
0031258642
-
A comparative study of domain embedding methods for regularized solutions of inverse Stefan problems
-
0909.76075 1473618
-
J Liu B Guerrier 1997 A comparative study of domain embedding methods for regularized solutions of inverse Stefan problems Int J Numer Methods Eng 40 19 3579 3600 0909.76075 1473618
-
(1997)
Int J Numer Methods Eng
, vol.40
, Issue.19
, pp. 3579-3600
-
-
Liu, J.1
Guerrier, B.2
-
38
-
-
0347137141
-
On continuous dependence, on noncharacteristic Cauchy data, for level lines of solutions of the heat equation
-
0726.35054 1123822
-
P Manselli S Vessella 1991 On continuous dependence, on noncharacteristic Cauchy data, for level lines of solutions of the heat equation Forum Math 3 5 513 521 0726.35054 1123822
-
(1991)
Forum Math
, vol.3
, Issue.5
, pp. 513-521
-
-
Manselli, P.1
Vessella, S.2
-
39
-
-
27544445360
-
A meshless method for solving the Cauchy problem in three-dimensional elastostatics
-
1127.74014 2157279
-
L Marin 2005 A meshless method for solving the Cauchy problem in three-dimensional elastostatics Comput Math Appl 50 1-2 73 92 1127.74014 2157279
-
(2005)
Comput Math Appl
, vol.50
, Issue.12
, pp. 73-92
-
-
Marin, L.1
-
40
-
-
17644417110
-
A meshless method for the numerical solution of the Cauchy problem associated with three-dimensional Helmholtz-type equations
-
DOI 10.1016/j.amc.2004.04.052, PII S009630030400387X
-
L Marin 2005 A meshless method for the numerical solution of Cauchy problem associated with three-dimensional Helmholtz-type equations Appl Math Comput 165 355 374 1070.65115 2137797 (Pubitemid 40567737)
-
(2005)
Applied Mathematics and Computation
, vol.165
, Issue.2
, pp. 355-374
-
-
Marin, L.1
-
41
-
-
26844436520
-
The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation
-
1088.35079 2163767
-
L Marin D Lesnic 2005 The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation Math Comput Model 42 3-4 261 278 1088.35079 2163767
-
(2005)
Math Comput Model
, vol.42
, Issue.34
, pp. 261-278
-
-
Marin, L.1
Lesnic, D.2
-
42
-
-
11344277052
-
The method of fundamental solutions for the Cauchy problem associated with two-dimensional Helmholtz-type equations
-
DOI 10.1016/j.compstruc.2004.10.005, PII S0045794904004031
-
L Marin D Lesnic 2005 The method of fundamental solutions for the Cauchy problem associated with two-dimensional Helmholtz-type equations Comput Struct 83 267 278 2115987 (Pubitemid 40072215)
-
(2005)
Computers and Structures
, vol.83
, Issue.4-5
, pp. 267-278
-
-
Marin, L.1
Lesnic, D.2
-
43
-
-
12344271462
-
The method of fundamental solutions for the backward heat conduction problem
-
2117679
-
NS Mera 2005 The method of fundamental solutions for the backward heat conduction problem Inverse Probl Sci Eng 13 1 65 78 2117679
-
(2005)
Inverse Probl Sci Eng
, vol.13
, Issue.1
, pp. 65-78
-
-
Mera, N.S.1
-
44
-
-
23244448410
-
Boundary identification for a 3D Laplace equation using a genetic algorithm
-
1092.74016 2157970
-
NS Mera L Elliott DB Ingham 2005 Boundary identification for a 3D Laplace equation using a genetic algorithm Comput Methods Appl Mech Eng 194 42-44 4411 4424 1092.74016 2157970
-
(2005)
Comput Methods Appl Mech Eng
, vol.194
, Issue.4244
, pp. 4411-4424
-
-
Mera, N.S.1
Elliott, L.2
Ingham, D.B.3
-
45
-
-
0041876254
-
An improved implementation of an iterative method in boundary identification problems
-
Nachaoui A (2003) An improved implementation of an iterative method in boundary identification problems. Numer Algorithms 33(1-4):381-398
-
(2003)
Numer Algorithms
, vol.33
, Issue.1-4
, pp. 381-398
-
-
Nachaoui, A.1
-
46
-
-
8744271409
-
Uniqueness and convergence of numerical solution of the Cauchy problem for the Laplace equation by a charge simulation method
-
1078.65081 2095776
-
T Ohe K Ohnaka 2004 Uniqueness and convergence of numerical solution of the Cauchy problem for the Laplace equation by a charge simulation method Japan J Indust Appl Math 21 3 339 359 1078.65081 2095776
-
(2004)
Japan J Indust Appl Math
, vol.21
, Issue.3
, pp. 339-359
-
-
Ohe, T.1
Ohnaka, K.2
-
49
-
-
0000267810
-
Stability estimates in an inverse problem for a three-dimensional heat equation
-
PII S0036141095294262
-
S Vessella 1997 Stability estimates in an inverse problem for a three-dimensional heat equation SIAM J Math Anal 28 6 1354 1370 0888.35130 1474218 (Pubitemid 127449648)
-
(1997)
SIAM Journal on Mathematical Analysis
, vol.28
, Issue.6
, pp. 1354-1370
-
-
Vessella, S.1
-
50
-
-
0002328596
-
A survey of some smoothing problems and the method of generalized cross-validation for solving them
-
North-Holland, Amsterdam
-
Wahba G (1977) A survey of some smoothing problems and the method of generalized cross-validation for solving them. In: Applications of statistics (Proc. Sympos., Wright State University, Dayton, OH, 1976). North-Holland, Amsterdam, pp 507-523
-
(1977)
Applications of Statistics (Proc. Sympos., Wright State University, Dayton, OH, 1976)
, pp. 507-523
-
-
Wahba, G.1
-
51
-
-
33847032040
-
Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
-
T Wei YC Hon L Ling 2007 Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators Eng Anal Bound Elem 31 4 373 385
-
(2007)
Eng Anal Bound Elem
, vol.31
, Issue.4
, pp. 373-385
-
-
Wei, T.1
Hon, Y.C.2
Ling, L.3
-
52
-
-
70449585223
-
Reconstruction of a moving boundary from Cauchy data in one dimensional heat equation
-
1165.65387 2584148
-
T Wei M Yamamoto 2009 Reconstruction of a moving boundary from Cauchy data in one dimensional heat equation Inverse Problems in Science and Engineering 17 4 551 567 1165.65387 2584148
-
(2009)
Inverse Problems in Science and Engineering
, vol.17
, Issue.4
, pp. 551-567
-
-
Wei, T.1
Yamamoto, M.2
-
53
-
-
77956525321
-
Convergence analysis for the Cauchy problem of Laplace's equation by a regularized method of fundamental solutions
-
doi: 10.1007/s10444-009-9134-7
-
Wei T, Zhou DY. Convergence analysis for the Cauchy problem of Laplace's equation by a regularized method of fundamental solutions. Adv Comput Math. doi: 10.1007/s10444-009-9134-7
-
Adv Comput Math.
-
-
Wei, T.1
Zhou, D.Y.2
|