| [1] |
Chen, W., Singular boundary method-A novel, simple, meshfree, boundary collocation numerical method (in Chinese), Chin J Sol Mech, 30, 6, 592-599 (2009) |
| [2] |
Fu, Z.; Chen, W.; Chen, J. T.; Qu, W., Singular boundary method-Three regularization approaches and exterior wave applications, Comput Model Eng Sci, 99, 5, 417-443 (2014) · Zbl 1357.65279 |
| [3] |
Li, J.; Chen, W.; Fu, Z., Numerical investigation on convergence rate of singular boundary method, Math Probl Eng, 2016, 2, 1-13 (2016) · Zbl 1400.65061 |
| [4] |
Gu, Y.; Chen, W.; Gao, H.; Zhang, C., A meshless singular boundary method for three-dimensional elasticity problems, Int J Numer Methods Eng, 107, 2, 109-126 (2016) · Zbl 1352.74039 |
| [5] |
Wang, F.; Chen, W.; Zhang, C.; Lin, J., Analytical evaluation of the origin intensity factor of time-dependent diffusion fundamental solution for a matrix-free singular boundary method formulation, Appl Math Model, 49, 647-662 (2019) · Zbl 1480.65243 |
| [6] |
Wei, X.; Huang, A.; Sun, L., Singular boundary method for 2D and 3D heat source reconstruction, Appl Math Lett, 102, Article 106103 pp. (2020) · Zbl 1440.35049 |
| [7] |
Li, W., Localized method of fundamental solutions for 2D harmonic elastic wave problems, Appl Math Lett, 112, Article 106759 pp. (2021) · Zbl 1453.74043 |
| [8] |
Li, W., A fast singular boundary method for 3D Helmholtz equation, Comput Math Appl, 77, 2, 525-535 (2018) · Zbl 1442.65415 |
| [9] |
Li, W.; Chen, W.; Fu, Z., Precorrected-FFT accelerated singular boundary method for large-scale three-dimensional potential problems, Commun Comput Phys, 22, 2, 460-472 (2017) · Zbl 1488.65691 |
| [10] |
Qu, W.; Chen, W.; Zhang, C., Diagonal form fast multipole singular boundary method applied to the solution of high-frequency acoustic radiation and scattering, Int J Numer Methods Eng, 11, 803-815 (2017) · Zbl 07867125 |
| [11] |
Li, W.; Wang, F., Precorrected-FFT accelerated singular boundary method for high-frequency acoustic radiation and scattering, Mathematics, 10, 2, 238 (2022) |
| [12] |
Hackbusch, W., A sparse matrix arithmetic based on H-matrices. Part I-Introduction to H-matrices, Computing, 62, 2, 89-108 (1999) · Zbl 0927.65063 |
| [13] |
Hackbusch, W.; Khoromskij, B. N., A sparse H-matrix arithmetic. Part II-Application to multidimensional problems, Computing, 64, 1, 21-47 (2002) · Zbl 0962.65029 |
| [14] |
Hackbusch, W.; Borm, S., Data-sparse approximation by adaptive H^2 -Matrices, Computing, 69, 1, 1-35 (2002) · Zbl 1012.65023 |
| [15] |
Sc, S.; Dewilde, P.; Gu, M.; Lyons, W.; Pals, T., A fast solver for HSS representations via sparse matrices, SIAM J Matrix Anal Appl, 29, 1, 67-81 (2006) · Zbl 1135.65317 |
| [16] |
Ho, K. L.; Greengard, L., A fast direct solver for structured linear systems by recursive skeletonization, SIAM J Sci Comput, 34, 5, A2507-A2A32 (2011) · Zbl 1259.65062 |
| [17] |
Ho, K. L.; Li, L., Hierarchical interpolative factorization for elliptic operators-Integral equations, Comm Pure Appl Math, 69, 7, 1-39 (2016) |
| [18] |
Li, W.; Xu, S.; Shao, M., Simulation of two-dimensional steady-state heat conduction problems by a fast singular boundary method, Eng Anal Bound Elem, 108, 149-157 (2019) · Zbl 1464.65238 |
| [19] |
Al-Smadi, M.; Arqub, O. A., Computational algorithm for solving Fredholm time-fractional partial integrodifferential equations of Dirichlet functions type with error estimates, Appl Math Comput, 342, 280-294 (2019) · Zbl 1429.65304 |
| [20] |
Arqub, O. A.; Al-Smadi, M., An adaptive numerical approach for the solutions of fractional advection-diffusion and dispersion equations in singular case under Riesz’s derivative operator, Phys A, 540, Article 123257 pp. (2019) · Zbl 07458029 |
| [21] |
Qu, W.; He, H., A GFDM with supplementary nodes for thin elastic plate bending analysis under dynamic loading, Appl Math Lett, 124, Article 107664 pp. (2022) · Zbl 1524.74331 |
| [22] |
Li, J.; Chen, W.; Fu, Z.; Sun, L., Explicit empirical formula evaluating original intensity factors of singular boundary method for potential and Helmholtz problems, Eng Anal Bound Elem, 73, 161-169 (2016) · Zbl 1403.65204 |
| [23] |
Cheng, H.; Gimbutas, Z.; Martinsson, P. G.; Rokhlin, V., On the compression of low rank matrices, SIAM J Sci Comput, 26, 4, 1389-1404 (2005) · Zbl 1083.65042 |
| [24] |
Liberty, E.; Woolfe, F.; Martinsson, P. G.; Rokhlin, V.; Tyger, M., Randomized algorithms for the low-rank approximation of matrices, Proc Natl Acad Sci USA, 104, 51, 20167-20172 (2007) · Zbl 1215.65080 |
