Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S. Kansa-RBF algorithms for elliptic BVPs in annular domains with mixed boundary conditions. (English) Zbl 07700815 Math. Comput. Simul. 206, 77-104 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. A. Jankowska} et al., Math. Comput. Simul. 206, 77--104 (2023; Zbl 07700815) Full Text: DOI
Karageorghis, Andreas; Lesnic, Daniel; Marin, Liviu An efficient moving pseudo-boundary MFS for void detection. (English) Zbl 1521.65128 Eng. Anal. Bound. Elem. 147, 90-111 (2023). MSC: 65N35 65N21 65N38 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Eng. Anal. Bound. Elem. 147, 90--111 (2023; Zbl 1521.65128) Full Text: DOI
Karageorghis, Andreas; Noorizadegan, Amir; Chen, C. S. Fictitious centre RBF method for high order BVPs in multiply connected domains. (English) Zbl 1524.65891 Appl. Math. Lett. 125, Article ID 107711, 6 p. (2022). MSC: 65N35 65Z05 65N85 35J30 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Appl. Math. Lett. 125, Article ID 107711, 6 p. (2022; Zbl 1524.65891) Full Text: DOI
Karageorghis, Andreas A time-efficient variable shape parameter Kansa-radial basis function method for the solution of nonlinear boundary value problems. (English) Zbl 1510.65303 Appl. Math. Comput. 413, Article ID 126613, 22 p. (2022). MSC: 65N35 65D12 65H10 PDFBibTeX XMLCite \textit{A. Karageorghis}, Appl. Math. Comput. 413, Article ID 126613, 22 p. (2022; Zbl 1510.65303) Full Text: DOI
Chen, C. S.; Karageorghis, Andreas; Amuzu, Lionel Kansa RBF collocation method with auxiliary boundary centres for high order BVPs. (English) Zbl 1478.65135 J. Comput. Appl. Math. 398, Article ID 113680, 17 p. (2021). MSC: 65N35 65N85 35J30 65D12 PDFBibTeX XMLCite \textit{C. S. Chen} et al., J. Comput. Appl. Math. 398, Article ID 113680, 17 p. (2021; Zbl 1478.65135) Full Text: DOI
Karageorghis, Andreas Singular matrices arising in the MFS from certain boundary and pseudo-boundary symmetries. (English) Zbl 1464.65271 Eng. Anal. Bound. Elem. 125, 135-156 (2021). MSC: 65N80 65N35 65N38 PDFBibTeX XMLCite \textit{A. Karageorghis}, Eng. Anal. Bound. Elem. 125, 135--156 (2021; Zbl 1464.65271) Full Text: DOI
Karageorghis, Andreas; Tappoura, Demetriana; Chen, C. S. The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. (English) Zbl 1524.65892 Math. Comput. Simul. 181, 581-597 (2021). MSC: 65N35 65D12 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Math. Comput. Simul. 181, 581--597 (2021; Zbl 1524.65892) Full Text: DOI
Katsiamis, Andreas; Karageorghis, Andreas Kansa radial basis function method with fictitious centres for solving nonlinear boundary value problems. (English) Zbl 1464.65207 Eng. Anal. Bound. Elem. 119, 293-301 (2020). MSC: 65N35 65D12 PDFBibTeX XMLCite \textit{A. Katsiamis} and \textit{A. Karageorghis}, Eng. Anal. Bound. Elem. 119, 293--301 (2020; Zbl 1464.65207) Full Text: DOI
Watson, Daniel W.; Karageorghis, Andreas; Chen, C. S. The radial basis function-differential quadrature method for elliptic problems in annular domains. (English) Zbl 1418.65188 J. Comput. Appl. Math. 363, 53-76 (2020). MSC: 65N35 65N22 PDFBibTeX XMLCite \textit{D. W. Watson} et al., J. Comput. Appl. Math. 363, 53--76 (2020; Zbl 1418.65188) Full Text: DOI
Chen, C. S.; Karageorghis, Andreas Local RBF algorithms for elliptic boundary value problems in annular domains. (English) Zbl 1473.65326 Commun. Comput. Phys. 25, No. 1, 41-67 (2019). MSC: 65N35 65D12 65N22 PDFBibTeX XMLCite \textit{C. S. Chen} and \textit{A. Karageorghis}, Commun. Comput. Phys. 25, No. 1, 41--67 (2019; Zbl 1473.65326) Full Text: DOI
Jankowska, Malgorzata A.; Karageorghis, Andreas Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems. (English) Zbl 1464.65206 Eng. Anal. Bound. Elem. 103, 32-40 (2019). MSC: 65N35 65H10 PDFBibTeX XMLCite \textit{M. A. Jankowska} and \textit{A. Karageorghis}, Eng. Anal. Bound. Elem. 103, 32--40 (2019; Zbl 1464.65206) Full Text: DOI
Karageorghis, Andreas; Tryfonos, Pinelopi Determination of shape parameter in RBF approximation. (English) Zbl 1418.65007 Cheng, Alexander H.-D. (ed.) et al., Boundary elements and other mesh reduction methods XXXXI. Selected papers based on the presentations at the 41st international conference (BEM/MRM), New Forest, UK, September 11–13, 2018. Southampton: WIT Press. WIT Trans. Eng. Sci. 122, 153-162 (2019). MSC: 65D05 41A63 41A05 65H10 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{P. Tryfonos}, WIT Trans. Eng. Sci. 122, 153--162 (2019; Zbl 1418.65007) Full Text: Link
Grabski, Jakub Krzysztof; Karageorghis, Andreas Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems. (English) Zbl 1464.65269 Eng. Anal. Bound. Elem. 105, 78-86 (2019). MSC: 65N80 65N35 65N38 PDFBibTeX XMLCite \textit{J. K. Grabski} and \textit{A. Karageorghis}, Eng. Anal. Bound. Elem. 105, 78--86 (2019; Zbl 1464.65269) Full Text: DOI
Karageorghis, Andreas; Jankowska, Malgorzata A.; Chen, C. S. Kansa-RBF algorithms for elliptic problems in regular polygonal domains. (English) Zbl 1405.65157 Numer. Algorithms 79, No. 2, 399-421 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65N35 65N22 35Q74 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., Numer. Algorithms 79, No. 2, 399--421 (2018; Zbl 1405.65157) Full Text: DOI
Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S. Improved Kansa RBF method for the solution of nonlinear boundary value problems. (English) Zbl 1403.65159 Eng. Anal. Bound. Elem. 87, 173-183 (2018). MSC: 65N35 65H10 PDFBibTeX XMLCite \textit{M. A. Jankowska} et al., Eng. Anal. Bound. Elem. 87, 173--183 (2018; Zbl 1403.65159) Full Text: DOI Link
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
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; Chen, C. S.; Liu, Xiao-Yan Kansa-RBF algorithms for elliptic problems in axisymmetric domains. (English) Zbl 1432.65174 SIAM J. Sci. Comput. 38, No. 1, A435-A470 (2016). MSC: 65N35 65T50 65N21 65N38 PDFBibTeX XMLCite \textit{A. Karageorghis} et al., SIAM J. Sci. Comput. 38, No. 1, A435--A470 (2016; Zbl 1432.65174) Full Text: DOI
Liu, Xiao-Yan; Karageorghis, Andreas; Chen, C. S. A Kansa-radial basis function method for elliptic boundary value problems in annular domains. (English) Zbl 1328.65254 J. Sci. Comput. 65, No. 3, 1240-1269 (2015). MSC: 65N35 65N21 65N38 PDFBibTeX XMLCite \textit{X.-Y. Liu} et al., J. Sci. Comput. 65, No. 3, 1240--1269 (2015; Zbl 1328.65254) Full Text: DOI Link
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.; Marin, L. Efficient MFS algorithms for problems in thermoelasticity. (English) Zbl 1266.74016 J. Sci. Comput. 56, No. 1, 96-121 (2013). MSC: 74F05 74S30 65T50 PDFBibTeX XMLCite \textit{A. Karageorghis} and \textit{L. Marin}, J. Sci. Comput. 56, No. 1, 96--121 (2013; Zbl 1266.74016) 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