Chen, C. S.; Karageorghis, Andreas; Li, Yan On choosing the location of the sources in the MFS. (English) Zbl 1338.65269 Numer. Algorithms 72, No. 1, 107-130 (2016). MSC: 65N80 35J05 35J30 PDFBibTeX XMLCite \textit{C. S. Chen} et al., Numer. Algorithms 72, No. 1, 107--130 (2016; Zbl 1338.65269) Full Text: DOI
Karageorghis, Andreas The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions. (English) Zbl 1308.65210 Numer. Algorithms 68, No. 1, 185-211 (2015). MSC: 65N80 35J05 35J40 65T50 PDFBibTeX XMLCite \textit{A. Karageorghis}, Numer. Algorithms 68, No. 1, 185--211 (2015; Zbl 1308.65210) Full Text: DOI
Karageorghis, A. Efficient Trefftz collocation algorithms for elliptic problems in circular domains. (English) Zbl 1279.65135 Numer. Algorithms 64, No. 3, 427-453 (2013). MSC: 65N35 35J05 35J40 PDFBibTeX XMLCite \textit{A. Karageorghis}, Numer. Algorithms 64, No. 3, 427--453 (2013; Zbl 1279.65135) Full Text: DOI
Bialecki, Bernard; Karageorghis, Andreas Spectral Chebyshev collocation for the Poisson and biharmonic equations. (English) Zbl 1217.65213 SIAM J. Sci. Comput. 32, No. 5, 2995-3019 (2010). MSC: 65N35 35J05 35J40 65F10 65F08 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{A. Karageorghis}, SIAM J. Sci. Comput. 32, No. 5, 2995--3019 (2010; Zbl 1217.65213) Full Text: DOI
Karageorghis, Andreas Efficient Kansa-type MFS algorithm for elliptic problems. (English) Zbl 1190.65184 Numer. Algorithms 54, No. 2, 261-278 (2010). MSC: 65N80 35J05 65T50 65F05 PDFBibTeX XMLCite \textit{A. Karageorghis}, Numer. Algorithms 54, No. 2, 261--278 (2010; Zbl 1190.65184) Full Text: DOI
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
Tankelevich, R.; Fairweather, G.; Karageorghis, A. Three-dimensional image reconstruction using the PF/MFS technique. (English) Zbl 1244.65224 Eng. Anal. Bound. Elem. 33, No. 12, 1403-1410 (2009). MSC: 65N80 65D17 35J05 35J40 PDFBibTeX XMLCite \textit{R. Tankelevich} et al., Eng. Anal. Bound. Elem. 33, No. 12, 1403--1410 (2009; Zbl 1244.65224) Full Text: DOI
Karageorghis, Andreas Efficient MFS algorithms in regular polygonal domains. (English) Zbl 1162.65409 Numer. Algorithms 50, No. 2, 215-240 (2009). MSC: 65N35 35J05 35J40 PDFBibTeX XMLCite \textit{A. Karageorghis}, Numer. Algorithms 50, No. 2, 215--240 (2009; Zbl 1162.65409) 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; Kyza, Irene Efficient algorithms for approximating particular solutions of elliptic equations using Chebyshev polynomials. (English) Zbl 1164.65506 Commun. Comput. Phys. 2, No. 3, 501-521 (2007). MSC: 65N35 35J05 35J40 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{I. Kyza}, Commun. Comput. Phys. 2, No. 3, 501--521 (2007; Zbl 1164.65506)
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; 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, Yiorgos-Sokratis; Karageorghis, Andreas A linear least-squares MFS for certain elliptic problems. (English) Zbl 1057.65092 Numer. Algorithms 35, No. 1, 29-44 (2003). Reviewer: Pavel Burda (Praha) MSC: 65N35 65N12 65N15 65T50 35J25 35J05 PDFBibTeX XMLCite \textit{Y.-S. Smyrlis} and \textit{A. Karageorghis}, Numer. Algorithms 35, No. 1, 29--44 (2003; Zbl 1057.65092) Full Text: DOI
Poullikkas, A.; Karageorghis, A.; Georgiou, G. The method of fundamental solutions for inhomogeneous elliptic problems. (English) Zbl 0913.65103 Comput. Mech. 22, No. 1, 100-107 (1998). Reviewer: C.I.Gheorghiu (Cluj-Napoca) MSC: 65N38 35J05 35A08 35J40 31A10 PDFBibTeX XMLCite \textit{A. Poullikkas} et al., Comput. Mech. 22, No. 1, 100--107 (1998; Zbl 0913.65103) Full Text: DOI
Poullikkas, A.; Karageorghis, A.; Georgiou, G. Methods of fundamental solutions for harmonic and biharmonic boundary value problems. (English) Zbl 0913.65104 Comput. Mech. 21, No. 4-5, 416-423 (1998). Reviewer: E.Lanckau (Chemnitz) MSC: 65N38 35E05 31A10 31A30 35J05 35J40 PDFBibTeX XMLCite \textit{A. Poullikkas} et al., Comput. Mech. 21, No. 4--5, 416--423 (1998; Zbl 0913.65104) Full Text: DOI
Bernardi, Christine; Karageorghis, Andreas Spectral methods in a part of a disk. (Méthodes spectrales dans une portion de disque.) (French) Zbl 0858.65117 Numer. Math. 73, No. 3, 265-289 (1996). Reviewer: M.Sibony (Tours) MSC: 65N35 35J05 35J40 31A30 65N15 PDFBibTeX XMLCite \textit{C. Bernardi} and \textit{A. Karageorghis}, Numer. Math. 73, No. 3, 265--289 (1996; Zbl 0858.65117) Full Text: DOI
Karageorghis, A. Satisfaction of boundary conditions for Chebyshev collocation methods in cuboidal domains. (English) Zbl 0802.65114 Comput. Math. Appl. 27, No. 12, 85-90 (1994). MSC: 65N35 31B30 35J05 35J40 PDFBibTeX XMLCite \textit{A. Karageorghis}, Comput. Math. Appl. 27, No. 12, 85--90 (1994; Zbl 0802.65114) Full Text: DOI
Karageorghis, A.; Fairweather, G. The method of fundamental solutions for the solution of nonlinear plane potential problems. (English) Zbl 0676.65110 IMA J. Numer. Anal. 9, No. 2, 231-242 (1989). Reviewer: F.v.Finckenstein MSC: 65N35 35A08 35J05 35J65 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{G. Fairweather}, IMA J. Numer. Anal. 9, No. 2, 231--242 (1989; Zbl 0676.65110) Full Text: DOI
Davis, A. R.; Karageorghis, A.; Phillips, T. N. Spectral Galerkin methods for the primary two-point boundary value problem in modelling viscoelastic flows. (English) Zbl 0635.73091 Int. J. Numer. Methods Eng. 26, No. 3, 647-662 (1988). MSC: 74S30 65L15 76A10 65L10 65L60 74D05 74D10 34L99 PDFBibTeX XMLCite \textit{A. R. Davis} et al., Int. J. Numer. Methods Eng. 26, No. 3, 647--662 (1988; Zbl 0635.73091) Full Text: DOI