Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas The under-determined version of the MFS: taking more sources than collocation points. (English) Zbl 1196.65187 Appl. Numer. Math. 60, No. 4, 337-357 (2010). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N80 65N35 35J05 PDFBibTeX XMLCite \textit{Y.-S. Smyrlis} and \textit{A. Karageorghis}, Appl. Numer. Math. 60, No. 4, 337--357 (2010; Zbl 1196.65187) Full Text: DOI
Karageorghis, A.; Chen, C. S.; Smyrlis, Y.-S. Matrix decomposition RBF algorithm for solving 3D elliptic problems. (English) Zbl 1244.65184 Eng. Anal. Bound. Elem. 33, No. 12, 1368-1373 (2009). MSC: 65N35 65N80 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Eng. Anal. Bound. Elem. 33, No. 12, 1368--1373 (2009; Zbl 1244.65184) Full Text: DOI
Smyrlis, Yiorgos-Sokratis Applicability and applications of the method of fundamental solutions. (English) Zbl 1198.65237 Math. Comput. 78, No. 267, 1399-1434 (2009). MSC: 65N35 35E05 41A30 35G15 35J40 65N38 PDFBibTeX XMLCite \textit{Y.-S. Smyrlis}, Math. Comput. 78, No. 267, 1399--1434 (2009; Zbl 1198.65237) Full Text: DOI
Smyrlis, Yiorgos-Sokratis Density results with linear combinations of translates of fundamental solutions. (English) Zbl 1180.35208 J. Approx. Theory 161, No. 2, 617-633 (2009). MSC: 35J30 35J15 35J05 35A08 35A35 PDFBibTeX XMLCite \textit{Y.-S. Smyrlis}, J. Approx. Theory 161, No. 2, 617--633 (2009; Zbl 1180.35208) Full Text: DOI
Smyrlis, Yiorgos-Sokratis Mathematical foundation of the MFS for certain elliptic systems in linear elasticity. (English) Zbl 1160.74005 Numer. Math. 112, No. 2, 319-340 (2009). MSC: 74B05 74G25 35Q72 PDFBibTeX XMLCite \textit{Y.-S. Smyrlis}, Numer. Math. 112, No. 2, 319--340 (2009; Zbl 1160.74005) Full Text: DOI
Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas Efficient implementation of the MFS: The three scenarios. (English) Zbl 1162.65057 J. Comput. Appl. Math. 227, No. 1, 83-92 (2009). MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{Y.-S. Smyrlis} and \textit{A. Karageorghis}, J. Comput. Appl. Math. 227, No. 1, 83--92 (2009; Zbl 1162.65057) Full Text: DOI
Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems. (English) Zbl 1154.65092 Computing 83, No. 1, 1-24 (2008). MSC: 65N35 35J05 30C30 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{Y.-S. Smyrlis}, Computing 83, No. 1, 1--24 (2008; Zbl 1154.65092) Full Text: DOI
Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains. (English) Zbl 1206.35067 J. Comput. Appl. Math. 206, No. 2, 774-795 (2007). MSC: 35E05 65F05 65N35 35J40 41A30 65N38 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{Y.-S. Smyrlis}, J. Comput. Appl. Math. 206, No. 2, 774--795 (2007; Zbl 1206.35067) Full Text: DOI
Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis A matrix decomposition RBF algorithm: approximation of functions and their derivatives. (English) Zbl 1107.65305 Appl. Numer. Math. 57, No. 3, 304-319 (2007). MSC: 65D05 65D25 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Appl. Numer. Math. 57, No. 3, 304--319 (2007; Zbl 1107.65305) Full Text: DOI
Tankelevich, Roman; Fairweather, Graeme; Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis Potential field based geometric modelling using the method of fundamental solutions. (English) Zbl 1130.65035 Int. J. Numer. Methods Eng. 68, No. 12, 1257-1280 (2006). MSC: 65D17 PDFBibTeX XMLCite \textit{R. Tankelevich} et al., Int. J. Numer. Methods Eng. 68, No. 12, 1257--1280 (2006; Zbl 1130.65035) Full Text: DOI
Karageorghis, A.; Smyrlis, Y.-S.; Tsangaris, T. A matrix decomposition MFS algorithm for certain linear elasticity problems. (English) Zbl 1104.74060 Numer. Algorithms 43, No. 2, 123-149 (2006). MSC: 74S30 74B05 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Numer. Algorithms 43, No. 2, 123--149 (2006; Zbl 1104.74060) Full Text: DOI
Tsangaris, Th.; Smyrlis, Y.-S.; Karageorghis, A. A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains. (English) Zbl 1098.65117 J. Sci. Comput. 28, No. 1, 31-50 (2006). MSC: 65N35 35J05 35J40 PDFBibTeX XMLCite \textit{Th. Tsangaris} et al., J. Sci. Comput. 28, No. 1, 31--50 (2006; Zbl 1098.65117) Full Text: DOI
Smyrlis, Yiorgos-Sokratis The method of fundamental solutions: a weighted least-squares approach. (English) Zbl 1197.35093 BIT 46, No. 1, 163-194 (2006). MSC: 35J25 35E05 65N12 65N15 65N35 65T50 PDFBibTeX XMLCite \textit{Y.-S. Smyrlis}, BIT 46, No. 1, 163--194 (2006; Zbl 1197.35093) 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 Numerical analysis of the MFS for certain harmonic problems. (English) Zbl 1079.65108 M2AN, Math. Model. Numer. Anal. 38, No. 3, 495-517 (2004). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65N12 65N38 35J05 PDFBibTeX XMLCite \textit{Y.-S. Smyrlis} and \textit{A. Karageorghis}, M2AN, Math. Model. Numer. Anal. 38, No. 3, 495--517 (2004; Zbl 1079.65108) Full Text: DOI Numdam EuDML
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