Karageorghis, A.; Lesnic, D.; Marin, L. The plane waves method for numerical boundary identification. (English) Zbl 1488.65585 Adv. Appl. Math. Mech. 9, No. 6, 1312-1329 (2017). MSC: 65N21 65N38 65N80 65J20 35A15 35R30 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Adv. Appl. Math. Mech. 9, No. 6, 1312--1329 (2017; Zbl 1488.65585) Full Text: DOI
Karageorghis, A.; Bin-Mohsin, B.; Lesnic, D.; Marin, L. Simultaneous numerical determination of a corroded boundary and its admittance. (English) Zbl 1326.65150 Inverse Probl. Sci. Eng. 23, No. 7, 1120-1137 (2015). MSC: 65N21 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Inverse Probl. Sci. Eng. 23, No. 7, 1120--1137 (2015; Zbl 1326.65150) Full Text: DOI Link
Marin, Liviu Relaxation procedures for an iterative MFS algorithm for two-dimensional steady-state isotropic heat conduction Cauchy problems. (English) Zbl 1259.80028 Eng. Anal. Bound. Elem. 35, No. 3, 415-429 (2011). MSC: 80M25 80A20 65N80 PDFBibTeX XMLCite \textit{L. Marin}, Eng. Anal. Bound. Elem. 35, No. 3, 415--429 (2011; Zbl 1259.80028) Full Text: DOI
Marin, Liviu; Karageorghis, Andreas; Lesnic, Daniel The MFS for numerical boundary identification in two-dimensional harmonic problems. (English) Zbl 1259.65194 Eng. Anal. Bound. Elem. 35, No. 3, 342-354 (2011). MSC: 65N80 65N21 PDFBibTeX XMLCite \textit{L. Marin} et al., Eng. Anal. Bound. Elem. 35, No. 3, 342--354 (2011; Zbl 1259.65194) Full Text: DOI
Karageorghis, A.; Lesnic, D.; Marin, L. A survey of applications of the MFS to inverse problems. (English) Zbl 1220.65157 Inverse Probl. Sci. Eng. 19, No. 3, 309-336 (2011). MSC: 65N21 65M32 65N80 35R30 65-02 35J05 35Q30 35K05 65M80 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Inverse Probl. Sci. Eng. 19, No. 3, 309--336 (2011; Zbl 1220.65157) Full Text: DOI
Karageorghis, A.; Lesnic, Daniel The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional Stokes flow. (English) Zbl 1262.65188 Adv. Appl. Math. Mech. 2, No. 2, 183-199 (2010). MSC: 65N35 65N22 65F05 35J05 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{D. Lesnic}, Adv. Appl. Math. Mech. 2, No. 2, 183--199 (2010; Zbl 1262.65188) Full Text: DOI
Marin, Liviu; Johansson, B. Tomas Relaxation procedures for an iterative MFS algorithm for the stable reconstruction of elastic fields from Cauchy data in two-dimensional isotropic linear elasticity. (English) Zbl 1203.74147 Int. J. Solids Struct. 47, No. 25-26, 3462-3479 (2010). MSC: 74S30 74B05 65N80 PDFBibTeX XMLCite \textit{L. Marin} and \textit{B. T. Johansson}, Int. J. Solids Struct. 47, No. 25--26, 3462--3479 (2010; Zbl 1203.74147) Full Text: DOI
Marin, Liviu Regularized method of fundamental solutions for boundary identification in two-dimensional isotropic linear elasticity. (English) Zbl 1203.74056 Int. J. Solids Struct. 47, No. 24, 3326-3340 (2010). MSC: 74G75 74B05 PDFBibTeX XMLCite \textit{L. Marin}, Int. J. Solids Struct. 47, No. 24, 3326--3340 (2010; Zbl 1203.74056) Full Text: DOI
Marin, Liviu; Munteanu, Ligia Boundary reconstruction in two-dimensional steady state anisotropic heat conduction using a regularized meshless method. (English) Zbl 1255.80016 Int. J. Heat Mass Transfer 53, No. 25-26, 5815-5826 (2010). MSC: 80A23 80M50 65F22 PDFBibTeX XMLCite \textit{L. Marin} and \textit{L. Munteanu}, Int. J. Heat Mass Transfer 53, No. 25--26, 5815--5826 (2010; Zbl 1255.80016) Full Text: DOI
Marin, Liviu An alternating iterative MFS algorithm for the Cauchy problem for the modified Helmholtz equation. (English) Zbl 1398.65278 Comput. Mech. 45, No. 6, 665-677 (2010). MSC: 65N21 35J05 35R30 35R25 65M30 PDFBibTeX XMLCite \textit{L. Marin}, Comput. Mech. 45, No. 6, 665--677 (2010; Zbl 1398.65278) Full Text: DOI
Berger, J. R.; Karageorghis, Andreas; Martin, P. A. Stress intensity factor computation using the method of fundamental solutions: mixed-mode problems. (English) Zbl 1194.74086 Int. J. Numer. Methods Eng. 69, No. 3, 469-483 (2007). MSC: 74G70 74B05 74S30 65N80 PDFBibTeX XMLCite \textit{J. R. Berger} et al., Int. J. Numer. Methods Eng. 69, No. 3, 469--483 (2007; Zbl 1194.74086) Full Text: DOI
Karageorghis, A.; Poullikkas, A.; Berger, J. R. Stress intensity factor computation using the method of fundamental solutions. (English) Zbl 1138.74336 Comput. Mech. 37, No. 5, 445-454 (2006). MSC: 74G70 74B05 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Comput. Mech. 37, No. 5, 445--454 (2006; Zbl 1138.74336) Full Text: DOI
Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. (English) Zbl 1067.65135 Adv. Comput. Math. 23, No. 1-2, 55-71 (2005). MSC: 65N35 35J40 65F30 65T50 PDFBibTeX XMLCite \textit{G. Fairweather} et al., Adv. Comput. Math. 23, No. 1--2, 55--71 (2005; Zbl 1067.65135) Full Text: DOI
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas A matrix decomposition MFS algorithm for axisymmetric potential problems. (English) Zbl 1074.65134 Eng. Anal. Bound. Elem. 28, No. 5, 463-474 (2004). MSC: 65N30 35J05 PDFBibTeX XMLCite \textit{Y.-S. Smyrlis} and \textit{A. Karageorghis}, Eng. Anal. Bound. Elem. 28, No. 5, 463--474 (2004; Zbl 1074.65134) Full Text: DOI
Smyrlis, Y.-S.; Karageorghis, A.; Georgiou, G. Some aspects of the one-dimensional version of the method of fundamental solutions. (English) Zbl 0985.65091 Comput. Math. Appl. 41, No. 5-6, 647-657 (2001). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{Y. S. Smyrlis} et al., Comput. Math. Appl. 41, No. 5--6, 647--657 (2001; Zbl 0985.65091) Full Text: DOI
Dawson, Trevor W. On integral representations for the axially symmetric Helmholtz Green’s function. (English) Zbl 0846.65067 Appl. Math. Modelling 19, No. 10, 583-589 (1995). Reviewer: J.Elschner (Berlin) MSC: 65N38 35C15 35J05 PDFBibTeX XMLCite \textit{T. W. Dawson}, Appl. Math. Modelling 19, No. 10, 583--589 (1995; Zbl 0846.65067) Full Text: DOI