-
2
-
-
0008116554
-
-
Elsevier, Oxford
-
A.L. Bukhgeim, J. Cheng, and M. Yamamoto, Uniqueness and stability for an inverse problem of determining a part of boundary, in Inverse Problems in Engineering Mechanics (Nagano, 1998), Elsevier, Oxford, 1998, pp. 327-336.
-
(1998)
Uniqueness and Stability for an Inverse Problem of Determining a Part of Boundary, in Inverse Problems in Engineering Mechanics (Nagano, 1998)
, pp. 327-336
-
-
Bukhgeim, A.L.1
Cheng, J.2
Yamamoto, M.3
-
4
-
-
0032271479
-
Stable determination of boundaries from cauchy data
-
E. Beretta and S. Vessella, Stable determination of boundaries from cauchy data, SIAM J. Math. Anal. 30(1) (1999), pp. 220-232.
-
(1999)
SIAM J. Math. Anal.
, vol.30
, Issue.1
, pp. 220-232
-
-
Beretta, E.1
Vessella, S.2
-
5
-
-
23044524368
-
Uniqueness and stability for the determination of boundary defects by electrostatic measurements
-
L. Rondi, Uniqueness and stability for the determination of boundary defects by electrostatic measurements, Proc. R. Soc. Edinb. Sect. A 130(5) (2000), pp. 1119-1151.
-
(2000)
Proc. R. Soc. Edinb. Sect. A
, vol.130
, Issue.5
, pp. 1119-1151
-
-
Rondi, L.1
-
6
-
-
0026389986
-
An inverse problem in electromagnetic crack detection
-
M. McIver, An inverse problem in electromagnetic crack detection, IMA J. Appl. Math. 47(2) (1991), pp. 127-145.
-
(1991)
IMA J. Appl. Math.
, vol.47
, Issue.2
, pp. 127-145
-
-
McIver, M.1
-
7
-
-
0020477348
-
The measurement of surface cracks in metals by using a.c. electric fields
-
D.H. Michael, R.T. Waechter, and R. Collins, The measurement of surface cracks in metals by using a.c. electric fields, Proc. R. Soc. Lond. Sect. A 381 (1982), pp. 139-157.
-
(1982)
Proc. R. Soc. Lond. Sect. A
, vol.381
, pp. 139-157
-
-
Michael, D.H.1
Waechter, R.T.2
Collins, R.3
-
8
-
-
33544468725
-
Numerical solution of a shape optimization problem
-
Eurotherm Seminar 68, Inverse problems and experimental design in thermal and mechanical engineering, Poitiers, France
-
M. Charton, H.J. Reinhardt, and D.N. Hào, Numerical solution of a shape optimization problem, Proc. Roy. Soc. Lond. Sect. A, Eurotherm Seminar 68, Inverse problems and experimental design in thermal and mechanical engineering, Poitiers, France, 2001.
-
(2001)
Proc. Roy. Soc. Lond. Sect. A
-
-
Charton, M.1
Reinhardt, H.J.2
Hào, D.N.3
-
9
-
-
0041876254
-
An improved implementation of an iterative method in boundary identification problems
-
(International Conference on Numerical Algorithms, Vol. I (Marrakesh, 2001))
-
A. Nachaoui, An improved implementation of an iterative method in boundary identification problems, Numer. Algorithms 33(1-4) (2003), pp. 381-398, (International Conference on Numerical Algorithms, Vol. I (Marrakesh, 2001)).
-
(2003)
Numer. Algorithms
, vol.33
, Issue.1-4
, pp. 381-398
-
-
Nachaoui, A.1
-
10
-
-
0036554090
-
A boundary element regularization method for the boundary determination in potential corrosion damage
-
D. Lesnic, J.R. Berger, and P.A. Martin, A boundary element regularization method for the boundary determination in potential corrosion damage, Inv. Probl. Sci. Eng. 10 (2002), pp. 163-182.
-
(2002)
Inv. Probl. Sci. Eng.
, vol.10
, pp. 163-182
-
-
Lesnic, D.1
Berger, J.R.2
Martin, P.A.3
-
11
-
-
0038364172
-
BEM first-order regularisation method in linear elasticity for boundary identification
-
L. Marin and D. Lesnic, BEM first-order regularisation method in linear elasticity for boundary identification, Comput. Methods Appl. Mech. Eng. 192(16-18) (2003), pp. 2059-2071.
-
(2003)
Comput. Methods Appl. Mech. Eng.
, vol.192
, Issue.16-18
, pp. 2059-2071
-
-
Marin, L.1
Lesnic, D.2
-
12
-
-
0342955473
-
A numerical computation for inverse boundary determination problem
-
Y.C. Hon and Z. Wu, A numerical computation for inverse boundary determination problem, Eng. Anal. Boundary Elements, 24(7-8) (2000), pp. 599-606.
-
(2000)
Eng. Anal. Boundary Elements
, vol.24
, Issue.7-8
, pp. 599-606
-
-
Hon, Y.C.1
Wu, Z.2
-
13
-
-
51349169389
-
A regularized integral equation method for the inverse geometry heat conduction problem
-
C.S. Liu, C.W. Chang, and C.Y. Chiang, A regularized integral equation method for the inverse geometry heat conduction problem, Int. J. Heat. Transf. 51(21-22) (2008), pp. 5380-5388.
-
(2008)
Int. J. Heat. Transf
, vol.51
, Issue.21-22
, pp. 5380-5388
-
-
Liu, C.S.1
Chang, C.W.2
Chiang, C.Y.3
-
14
-
-
0001355838
-
Radial Basis Functions for Multivariable Interpolation: A Review
-
Clarendon Press
-
M.J.D. Powell, Radial Basis Functions for Multivariable Interpolation: A Review, Algorithms for Approximation, Clarendon Press, 1987, pp. 143-167.
-
(1987)
Algorithms for Approximation
, pp. 143-167
-
-
Powell, M.J.D.1
-
15
-
-
51649133223
-
Hermite-birkhoff interpolation of scattered data by radial basis functions
-
Z. Wu, Hermite-birkhoff interpolation of scattered data by radial basis functions, Anal. Theor. Appl. 8 (1992), pp. 1-10.
-
(1992)
Anal. Theor. Appl
, vol.8
, pp. 1-10
-
-
Wu, Z.1
-
16
-
-
0000776101
-
The method of fundamental solutions for potential, Helmholtz and diffusion problems
-
in, WIT Press/Comput. Mech. Publ., Boston, MA
-
M.A. Golberg and C.S. Chen, The method of fundamental solutions for potential, Helmholtz and diffusion problems, in Boundary Integral Methods: Numerical and Mathematical Aspects, Vol. 1, WIT Press/Comput. Mech. Publ., Boston, MA, 1999, pp. 103-176.
-
(1999)
Boundary Integral Methods: Numerical and Mathematical Aspects
, vol.1
, pp. 103-176
-
-
Golberg, M.A.1
Chen, C.S.2
-
17
-
-
0032344733
-
The method of fundamental solutions for elliptic boundary value problems
-
G. Fairweather and A. Karageorghis, The method of fundamental solutions for elliptic boundary value problems, Adv. Comput. Math. 9(1-2) (1998), pp. 69-95.
-
(1998)
Adv. Comput. Math
, vol.9
, Issue.1-2
, pp. 69-95
-
-
Fairweather, G.1
Karageorghis, A.2
-
18
-
-
23044522396
-
New insights in boundary-only and domain-type RBF methods
-
W. Chen and M. Tanaka, New insights in boundary-only and domain-type RBF methods, Int. J. Nonlinear Sci. Numer. Simul. 1(3) (2000), pp. 145-151.
-
(2000)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.1
, Issue.3
, pp. 145-151
-
-
Chen, W.1
Tanaka, M.2
-
19
-
-
0036467593
-
A meshless, integration-free, and boundary-only RBF technique
-
W. Chen and M. Tanaka, A meshless, integration-free, and boundary-only RBF technique, Comput. Math. Appl. 43(3-5) (2002), pp. 379-391.
-
(2002)
Comput. Math. Appl.
, vol.43
, Issue.3-5
, pp. 379-391
-
-
Chen, W.1
Tanaka, M.2
-
20
-
-
39849100253
-
A computational method for inverse free boundary determination problem
-
Y.C. Hon and M. Li, A computational method for inverse free boundary determination problem, Int. J. Numer. Methods Eng. 73(9) (2008), pp. 1291-1309.
-
(2008)
Int. J. Numer. Methods Eng.
, vol.73
, Issue.9
, pp. 1291-1309
-
-
Hon, Y.C.1
Li, M.2
-
21
-
-
21144444255
-
A three-dimensional boundary determination problem in potential corrosion damage
-
N.S. Mera and D. Lesnic, A three-dimensional boundary determination problem in potential corrosion damage, Comput. Mech. 36(2) (2005), pp. 129-138.
-
(2005)
Comput. Mech.
, vol.36
, Issue.2
, pp. 129-138
-
-
Mera, N.S.1
Lesnic, D.2
-
22
-
-
23244448410
-
Boundary identification for a 3D laplace equation using a genetic algorithm
-
N.S. Mera, L. Elliott, and D.B. Ingham, Boundary identification for a 3D laplace equation using a genetic algorithm, Comput. Methods Appl. Mech. Eng. 194(42-44) (2005), pp. 4411-4424.
-
(2005)
Comput. Methods Appl. Mech. Eng.
, vol.194
, Issue.42-44
, pp. 4411-4424
-
-
Mera, N.S.1
Elliott, L.2
Ingham, D.B.3
-
23
-
-
84971151488
-
Stable determination of a crack from boundary measurements
-
G. Alessandrini, Stable determination of a crack from boundary measurements, Proc. R. Soc. Edin. Sect. A 123(3) (1993), pp. 497-516.
-
(1993)
Proc. R. Soc. Edin. Sect. A
, vol.123
, Issue.3
, pp. 497-516
-
-
Alessandrini, G.1
-
24
-
-
33749000622
-
Numerical boundary identification for Helmholtz-type equations
-
L. Marin, Numerical boundary identification for Helmholtz-type equations, Comput. Mech. 39(1) (2006), pp. 25-40.
-
(2006)
Comput. Mech
, vol.39
, Issue.1
, pp. 25-40
-
-
Marin, L.1
-
25
-
-
11344277052
-
The method of fundamental solutions for the cauchy problem associated with two-dimensional Helmholtz-type equations
-
L. Marin and D. Lesnic, The method of fundamental solutions for the cauchy problem associated with two-dimensional Helmholtz-type equations, Comput. Struct. 83(4-5) (2005), pp. 267-278.
-
(2005)
Comput. Struct
, vol.83
, Issue.4-5
, pp. 267-278
-
-
Marin, L.1
Lesnic, D.2
-
26
-
-
33644595481
-
A meshless method for some inverse problems associated with the Helmholtz equation
-
B. Jin and Y. Zheng, A meshless method for some inverse problems associated with the Helmholtz equation, Comput. Methods Appl. Mech. Eng. 195(19-22) (2006), pp. 2270-2288.
-
(2006)
Comput. Methods Appl. Mech. Eng.
, vol.195
, Issue.19-22
, pp. 2270-2288
-
-
Jin, B.1
Zheng, Y.2
-
27
-
-
33847032040
-
Method of fundamental solutions with regularization techniques for cauchy problems of elliptic operators
-
T. Wei, Y.C. Hon, and L. Ling, Method of fundamental solutions with regularization techniques for cauchy problems of elliptic operators, Eng. Anal. Boundary Elements 31(4) (2007), pp. 373-385.
-
(2007)
Eng. Anal. Boundary Elements
, vol.31
, Issue.4
, pp. 373-385
-
-
Wei, T.1
Hon, Y.C.2
Ling, L.3
-
28
-
-
1842842972
-
A fundamental solution method for inverse heat conduction problem
-
Y.C. Hon and T. Wei, A fundamental solution method for inverse heat conduction problem, Eng. Anal. Boundary Elements 28(5) (2004), pp. 489-495.
-
(2004)
Eng. Anal. Boundary Elements
, vol.28
, Issue.5
, pp. 489-495
-
-
Hon, Y.C.1
Wei, T.2
-
29
-
-
15544363903
-
The method of fundamental solution for solving multidimensional inverse heat conduction problems, CMES Comput
-
Y.C. Hon and T. Wei, The method of fundamental solution for solving multidimensional inverse heat conduction problems, CMES Comput. Model. Eng. Sci. 7(2) (2005), pp. 119-132.
-
(2005)
Model. Eng. Sci
, vol.7
, Issue.2
, pp. 119-132
-
-
Hon, Y.C.1
Wei, T.2
-
31
-
-
0003235719
-
Rank-deficient and discrete ill-posed problems, SIAM Monographs on Mathematical Modeling and Computation
-
Philadelphia, PA
-
P.C. Hansen, Rank-deficient and discrete ill-posed problems, SIAM Monographs on Mathematical Modeling and Computation, Society for Industrial and Applied Mathematics(SIAM), Philadelphia, PA, 1998.
-
(1998)
Society for Industrial and Applied Mathematics(SIAM)
-
-
Hansen, P.C.1
-
32
-
-
0003531188
-
-
Kluwer Academic Publishers Group, Dordrecht
-
H.W. Engl, M. Hanke, and A. Neubauer, Regularization of Inverse Problems, Math. Appl. 375, Kluwer Academic Publishers Group, Dordrecht, 1996.
-
(1996)
Regularization of Inverse Problems, Math. Appl
, vol.375
-
-
Engl, H.W.1
Hanke, M.2
Neubauer, A.3
-
33
-
-
13344267706
-
Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
-
P.C. Hansen, Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems, Numer. Algorithms 6(1-2) (1994), pp. 1-35.
-
(1994)
Numer. Algorithms
, vol.6
, Issue.1-2
, pp. 1-35
-
-
Hansen, P.C.1
-
34
-
-
0013298158
-
The use of monotonicity for choosing the regularization parameter in ill-posed problems
-
U. Tautenhahn and U. Hämarik, The use of monotonicity for choosing the regularization parameter in ill-posed problems, Inv. Probl. 15(6) (1999), pp. 1487-1505.
-
(1999)
Inv. Probl
, vol.15
, Issue.6
, pp. 1487-1505
-
-
Tautenhahn, U.1
Hämarik, U.2
-
35
-
-
0000544453
-
Practical approximate solutions to linear operator equations when the data are noisy, SIAM
-
G. Wahba, Practical approximate solutions to linear operator equations when the data are noisy, SIAM J. Numer. Anal. 14(4) (1977), pp. 651-667.
-
(1977)
J. Numer. Anal
, vol.14
, Issue.4
, pp. 651-667
-
-
Wahba, G.1
-
36
-
-
4043182719
-
Computational methods for inverse problems
-
Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
-
C.R. Vogel, Computational methods for inverse problems, Frontiers Appl. Math. 375, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2002.
-
(2002)
Frontiers Appl. Math
, vol.375
-
-
Vogel, C.R.1
|