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Author ID: fan.chia-ming Recent zbMATH articles by "Fan, Chia-Ming"
Published as: Fan, Chia-Ming; Fan, C. M.; Fan, Chia Ming
Documents Indexed: 80 Publications since 2002
Co-Authors: 76 Co-Authors with 71 Joint Publications
2,179 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

74 Publications have been cited 992 times in 528 Documents Cited by Year
The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267
Chen, C. S.; Fan, C. M.; Wen, P. H.
87
2012
The method of approximate particular solutions for solving elliptic problems with variable coefficients. Zbl 1245.65172
Chen, C. S.; Fan, C. M.; Wen, P. H.
65
2011
Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems. Zbl 1458.74143
Gu, Yan; Fan, Chia-Ming; Xu, Rui-Ping
63
2019
Time-dependent fundamental solutions for homogeneous diffusion problems. Zbl 1098.76622
Young, D. L.; Tsai, C. C.; Murugesan, K.; Fan, C. M.; Chen, C. W.
62
2004
The method of fundamental solutions for 2D and 3D Stokes problems. Zbl 1160.76332
Young, D. L.; Jane, S. J.; Fan, C. M.; Murugesan, K.; Tsai, C. C.
61
2006
Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations. Zbl 1433.65338
Wang, Fajie; Fan, Chia-Ming; Hua, Qingsong; Gu, Yan
47
2020
Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations. Zbl 1464.65267
Fan, C. M.; Huang, Y. K.; Chen, C. S.; Kuo, S. R.
43
2019
Generalized finite difference method for two-dimensional shallow water equations. Zbl 1403.76133
Li, Po-Wei; Fan, Chia-Ming
38
2017
Generalized finite difference method for solving two-dimensional non-linear obstacle problems. Zbl 1287.74056
Chan, Hsin-Fang; Fan, Chia-Ming; Kuo, Chia-Wen
36
2013
Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions. Zbl 1446.65195
Qu, Wenzhen; Fan, Chia-Ming; Li, Xiaolin
35
2020
Generalized finite difference method for solving two-dimensional inverse Cauchy problems. Zbl 1329.65257
Fan, Chia-Ming; Li, Po-Wei; Yeih, Weichung
34
2015
The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation. Zbl 1143.65087
Young, D. L.; Tsai, C. C.; Chen, C. W.; Fan, C. M.
33
2008
The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers’ equations. Zbl 1244.76096
Young, D. L.; Fan, C. M.; Hu, S. P.; Atluri, S. N.
32
2008
The method of fundamental solutions for eigenproblems in domains with and without interior holes. Zbl 1149.35339
Tsai, C. C.; Young, D. L.; Chen, C. W.; Fan, C. M.
27
2006
A localized space-time method of fundamental solutions for diffusion and convection-diffusion problems. Zbl 1488.65542
Wang, Fajie; Fan, Chia-Ming; Zhang, Chuanzeng; Lin, Ji
27
2020
The time-marching method of fundamental solutions for wave equations. Zbl 1244.65152
Young, D. L.; Gu, M. H.; Fan, C. M.
25
2009
MFS with time-dependent fundamental solutions for unsteady Stokes equations. Zbl 1195.76324
Tsai, C. C.; Young, D. L.; Fan, C. M.; Chen, C. W.
25
2006
Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions. Zbl 1481.76193
Qu, Wenzhen; Fan, Chia-Ming; Gu, Yan; Wang, Fajie
23
2019
The method of fundamental solutions for solving incompressible Navier-Stokes problems. Zbl 1244.76104
Young, D. L.; Lin, Y. C.; Fan, C. M.; Chiu, C. L.
22
2009
Localized method of fundamental solutions for three-dimensional elasticity problems: theory. Zbl 1488.74026
Gu, Yan; Fan, Chia-Ming; Fu, Zhuojia
21
2021
Method of fundamental solutions for multidimensional Stokes equations by the dual-potential formulation. Zbl 1106.76020
Young, D. L.; Chiu, C. L.; Fan, C. M.; Tsai, C. C.; Lin, Y. C.
20
2006
Numerical solutions of boundary detection problems using modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm. Zbl 1259.65172
Fan, Chia-Ming; Chan, Hsin-Fang; Kuo, Chung-Lun; Yeih, Weichung
20
2012
The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation. Zbl 1403.65039
Gu, Yan; Lei, Jun; Fan, Chia-Ming; He, Xiao-Qiao
19
2018
The method of fundamental solutions for Stokes flow in a rectangular cavity with cylinders. Zbl 1103.76319
Young, D. L.; Chen, C. W.; Fan, C. M.; Murugesan, K.; Tsai, C. C.
18
2005
Generalized finite difference method for solving stationary 2D and 3D Stokes equations with a mixed boundary condition. Zbl 1451.76084
Song, Lina; Li, Po-Wei; Gu, Yan; Fan, Chia-Ming
18
2020
Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code. Zbl 1470.74067
Gu, Yan; Fan, Chia-Ming; Qu, Wenzhen; Wang, Fajie; Zhang, Chuanzeng
16
2019
Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous media. Zbl 1403.76132
Li, Po-Wei; Chen, Wen; Fu, Zhuo-Jia; Fan, Chia-Ming
14
2018
Simulation of two-dimensional sloshing phenomenon by generalized finite difference method. Zbl 1403.65044
Zhang, Ting; Ren, Yu-Fei; Fan, Chia-Ming; Li, Po-Wei
13
2016
Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains. Zbl 1508.65166
Wang, Fajie; Zhao, Qinghai; Chen, Zengtao; Fan, Chia-Ming
13
2021
A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique. Zbl 1521.76556
Li, Po-Wei; Fan, Chia-Ming; Grabski, Jakub Krzysztof
13
2021
The generalized finite difference method for in-plane crack problems. Zbl 1404.74194
Lei, Jun; Xu, Yanjie; Gu, Yan; Fan, Chia-Ming
12
2019
Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method. Zbl 1403.65164
Ku, Cheng-Yu; Kuo, Chung-Lun; Fan, Chia-Ming; Liu, Chein-Shan; Guan, Pai-Chen
11
2015
Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials. Zbl 1403.74282
Wang, Yuanyuan; Gu, Yan; Fan, Chia-Ming; Chen, Wen; Zhang, Chuanzeng
11
2018
Localized method of fundamental solutions for interior Helmholtz problems with high wave number. Zbl 1464.65275
Qu, Wenzhen; Fan, Chia-Ming; Gu, Yan
11
2019
Numerical solutions of two-dimensional flow fields by using the localized method of approximate particular solutions. Zbl 1403.78028
Fan, Chia-Ming; Yang, Chi-Hung; Lai, Wei-Shiang
10
2015
A meshless collocation scheme for inverse heat conduction problem in three-dimensional functionally graded materials. Zbl 1464.74373
Hu, Wen; Gu, Yan; Fan, Chia-Ming
10
2020
A direct Chebyshev collocation method for the numerical solutions of three-dimensional Helmholtz-type equations. Zbl 1464.65193
Bai, Zi-Qiang; Gu, Yan; Fan, Chia-Ming
10
2019
Topology optimization of steady-state heat conduction structures using meshless generalized finite difference method. Zbl 1464.74366
Zhao, Qinghai; Fan, Chia-Ming; Wang, Fajie; Qu, Wenzhen
8
2020
Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains. Zbl 1521.74360
Wang, Fajie; Chen, Zengtao; Li, Po-Wei; Fan, Chia-Ming
8
2021
Numerical solutions of waves-current interactions by generalized finite difference method. Zbl 1464.74266
Fan, Chia-Ming; Chu, Chi-Nan; Šarler, Božidar; Li, Tsung-Han
8
2019
Local non-singular knot method for large-scale computation of acoustic problems in complicated geometries. Zbl 1524.35174
Yue, Xingxing; Wang, Fajie; Li, Po-Wei; Fan, Chia-Ming
8
2021
Eigenanalysis for membranes with stringers using the methods of fundamental solutions and domain decomposition. Zbl 1160.74421
Chen, C. W.; Fan, C. M.; Young, D. L.; Murugesan, K.; Tsai, C. C.
7
2005
On solving free surface problems in layered soil using the method of fundamental solutions. Zbl 1403.74288
Xiao, Jing-En; Ku, Cheng-Yu; Liu, Chih-Yu; Fan, Chia-Ming; Yeih, Weichung
7
2017
A novel space-time generalized FDM for transient heat conduction problems. Zbl 1464.65088
Lei, Jun; Wang, Qin; Liu, Xia; Gu, Yan; Fan, Chia-Ming
7
2020
Eulerian-Lagrangian method of fundamental solutions for multi-dimensional advection-diffusion equation. Zbl 1143.65384
Young, D. L.; Fan, C. M.; Tsai, C. C.; Chen, C. W.; Murugesan, K.
6
2006
A localized meshless collocation method for bandgap calculation of anti-plane waves in 2D solid phononic crystals. Zbl 1464.74363
Fu, Zhuo-Jia; Li, Ai-Lun; Zhang, Chuanzeng; Fan, Chia-Ming; Zhuang, Xiao-Ying
6
2020
Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations. Zbl 1464.65157
Liu, Shuainan; Li, Po-Wei; Fan, Chia-Ming; Gu, Yan
6
2021
Solving the inverse Stokes problems by the modified collocation Trefftz method and Laplacian decomposition. Zbl 1302.76055
Fan, Chia-Ming; Li, Hong-Huei
6
2013
The meshless analog equation method for solving heat transfer to molten polymer flow in tubes. Zbl 1190.80013
Hu, S. P.; Fan, C. M.; Young, D. L.
5
2010
The method of particular solutions using trigonometric basis functions. Zbl 1524.65900
Tian, Zhaolu; Li, Xinxiang; Fan, C. M.; Chen, C. S.
5
2018
The method of fundamental solutions with eigenfunction expansion method for nonhomogeneous diffusion equation. Zbl 1098.65099
Young, D. L.; Chen, C. W.; Fan, C. M.; Tsai, C. C.
5
2006
Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method. Zbl 1304.65241
Fan, C. M.; Liu, Y. C.; Chan, H. F.; Hsiao, S. S.
5
2014
Solving the Cauchy problem of the nonlinear steady-state heat equation using double iteration process. Zbl 1357.65241
Yeih, Weichung; Chan, I-Yao; Fan, Chia-Ming; Chang, Jiang-Jhy; Liu, Chein-Shan
5
2014
Generalized finite difference method for numerical solutions of density-driven groundwater flows. Zbl 1356.76204
Li, Po-Wei; Fan, Chia-Ming; Chen, Chun-Yu; Ku, Cheng-Yu
5
2014
Analysis of the 2D Stokes flows by the non-singular boundary integral equation method. Zbl 1221.76065
Fan, Chia-Ming; Young, Der-Liang
5
2002
The MAPS based on trigonometric basis functions for solving elliptic partial differential equations with variable coefficients and Cauchy-Navier equations. Zbl 07316641
Wang, Dan; Chen, C. S.; Fan, C. M.; Li, Ming
5
2019
New explicit iteration algorithms for solving coupled continuous Markovian jump Lyapunov matrix equations. Zbl 1402.93257
Tian, Zhaolu; Fan, C. M.; Deng, Youjun; Wen, P. H.
5
2018
Solving inverse Stokes problems by modified collocation Trefftz method. Zbl 1293.65145
Fan, Chia-Ming; Li, Hong-Huei; Hsu, Chuan-Yen; Lin, Chun-Hung
4
2014
Numerical solutions of mild slope equation by generalized finite difference method. Zbl 1403.76128
Zhang, Ting; Huang, Ying-Jie; Liang, Lin; Fan, Chia-Ming; Li, Po-Wei
4
2018
Localized method of fundamental solutions for two-dimensional anisotropic elasticity problems. Zbl 1464.74401
Liu, Q. G.; Fan, C. M.; Šarler, B.
4
2021
Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method. Zbl 1524.65894
Liu, Yan-Cheng; Fan, Chia-Ming; Yeih, Weichung; Ku, Cheng-Yu; Chu, Chiung-Lin
4
2021
Improvement of generalized finite difference method for stochastic subsurface flow modeling. Zbl 07500737
Chen, Shang-Ying; Hsu, Kuo-Chin; Fan, Chia-Ming
4
2021
The method of fundamental solutions for solving non-linear berger equation of thin elastic plate. Zbl 1403.74307
Lei, Bin; Fan, C. M.; Li, Ming
4
2018
The method of fundamental solutions with eigenfunctions expansion method for 3D nonhomogeneous diffusion equations. Zbl 1152.65472
Young, D. L.; Chen, C. H.; Fan, C. M.; Shen, L. H.
3
2009
A space-time generalized finite difference method for solving unsteady double-diffusive natural convection in fluid-saturated porous media. Zbl 1521.76557
Li, Po-Wei; Grabski, Jakub Krzysztof; Fan, Chia-Ming; Wang, Fajie
3
2022
The method of two-point angular basis function for solving Laplace equation. Zbl 1464.65272
Kuo, Chung-Lun; Yeih, Weichung; Ku, Cheng-Yu; Fan, Chia-Ming
3
2019
FDMFS for diffusion equation with unsteady forcing function. Zbl 1232.65123
Hu, S. P.; Young, D. L.; Fan, C. M.
2
2008
A double iteration process for solving the nonlinear algebraic equations, especially for ill-posed nonlinear algebraic equations. Zbl 1356.65141
Yeih, Weichung; Chan, I-Yao; Ku, Cheng-Yu; Fan, Chia-Ming; Guan, Pai-Chen
2
2014
Generalized finite difference method for three-dimensional eigenproblems of Helmholtz equation. Zbl 07487718
Zhang, Juan; Shuy, Rong-Juin; Chu, Chiung-Lin; Fan, Chia-Ming
2
2022
3D hybrid Cartesian/immersed-boundary finite-element analysis of heat and flow patterns in a two-roll mill. Zbl 1157.80314
Chiu, C. L.; Fan, C. M.; Young, D. L.
1
2009
Frequency response analyses in vibroacoustics using the method of fundamental solutions. Zbl 1398.76173
Wu, C. S.; Young, D. L.; Fan, C. M.
1
2011
The localized method of fundamental solutions for 2D and 3D second-order nonlinear boundary value problems. Zbl 1521.65139
Zhao, Shengdong; Gu, Yan; Fan, Chia-Ming; Wang, Xiao
1
2022
Estimation of tumor characteristics in a skin tissue by a meshless collocation solver. Zbl 07342009
Fu, Zhuo-Jia; Chu, Wen-Hui; Yang, Min; Li, Po-Wei; Fan, Chia-Ming
1
2021
A generalized finite difference method for solving elasticity interface problems. Zbl 1521.74392
Xing, Yanan; Song, Lina; Fan, Chia-Ming
1
2021
A space-time generalized finite difference method for solving unsteady double-diffusive natural convection in fluid-saturated porous media. Zbl 1521.76557
Li, Po-Wei; Grabski, Jakub Krzysztof; Fan, Chia-Ming; Wang, Fajie
3
2022
Generalized finite difference method for three-dimensional eigenproblems of Helmholtz equation. Zbl 07487718
Zhang, Juan; Shuy, Rong-Juin; Chu, Chiung-Lin; Fan, Chia-Ming
2
2022
The localized method of fundamental solutions for 2D and 3D second-order nonlinear boundary value problems. Zbl 1521.65139
Zhao, Shengdong; Gu, Yan; Fan, Chia-Ming; Wang, Xiao
1
2022
Localized method of fundamental solutions for three-dimensional elasticity problems: theory. Zbl 1488.74026
Gu, Yan; Fan, Chia-Ming; Fu, Zhuojia
21
2021
Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains. Zbl 1508.65166
Wang, Fajie; Zhao, Qinghai; Chen, Zengtao; Fan, Chia-Ming
13
2021
A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique. Zbl 1521.76556
Li, Po-Wei; Fan, Chia-Ming; Grabski, Jakub Krzysztof
13
2021
Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains. Zbl 1521.74360
Wang, Fajie; Chen, Zengtao; Li, Po-Wei; Fan, Chia-Ming
8
2021
Local non-singular knot method for large-scale computation of acoustic problems in complicated geometries. Zbl 1524.35174
Yue, Xingxing; Wang, Fajie; Li, Po-Wei; Fan, Chia-Ming
8
2021
Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations. Zbl 1464.65157
Liu, Shuainan; Li, Po-Wei; Fan, Chia-Ming; Gu, Yan
6
2021
Localized method of fundamental solutions for two-dimensional anisotropic elasticity problems. Zbl 1464.74401
Liu, Q. G.; Fan, C. M.; Šarler, B.
4
2021
Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method. Zbl 1524.65894
Liu, Yan-Cheng; Fan, Chia-Ming; Yeih, Weichung; Ku, Cheng-Yu; Chu, Chiung-Lin
4
2021
Improvement of generalized finite difference method for stochastic subsurface flow modeling. Zbl 07500737
Chen, Shang-Ying; Hsu, Kuo-Chin; Fan, Chia-Ming
4
2021
Estimation of tumor characteristics in a skin tissue by a meshless collocation solver. Zbl 07342009
Fu, Zhuo-Jia; Chu, Wen-Hui; Yang, Min; Li, Po-Wei; Fan, Chia-Ming
1
2021
A generalized finite difference method for solving elasticity interface problems. Zbl 1521.74392
Xing, Yanan; Song, Lina; Fan, Chia-Ming
1
2021
Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations. Zbl 1433.65338
Wang, Fajie; Fan, Chia-Ming; Hua, Qingsong; Gu, Yan
47
2020
Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions. Zbl 1446.65195
Qu, Wenzhen; Fan, Chia-Ming; Li, Xiaolin
35
2020
A localized space-time method of fundamental solutions for diffusion and convection-diffusion problems. Zbl 1488.65542
Wang, Fajie; Fan, Chia-Ming; Zhang, Chuanzeng; Lin, Ji
27
2020
Generalized finite difference method for solving stationary 2D and 3D Stokes equations with a mixed boundary condition. Zbl 1451.76084
Song, Lina; Li, Po-Wei; Gu, Yan; Fan, Chia-Ming
18
2020
A meshless collocation scheme for inverse heat conduction problem in three-dimensional functionally graded materials. Zbl 1464.74373
Hu, Wen; Gu, Yan; Fan, Chia-Ming
10
2020
Topology optimization of steady-state heat conduction structures using meshless generalized finite difference method. Zbl 1464.74366
Zhao, Qinghai; Fan, Chia-Ming; Wang, Fajie; Qu, Wenzhen
8
2020
A novel space-time generalized FDM for transient heat conduction problems. Zbl 1464.65088
Lei, Jun; Wang, Qin; Liu, Xia; Gu, Yan; Fan, Chia-Ming
7
2020
A localized meshless collocation method for bandgap calculation of anti-plane waves in 2D solid phononic crystals. Zbl 1464.74363
Fu, Zhuo-Jia; Li, Ai-Lun; Zhang, Chuanzeng; Fan, Chia-Ming; Zhuang, Xiao-Ying
6
2020
Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems. Zbl 1458.74143
Gu, Yan; Fan, Chia-Ming; Xu, Rui-Ping
63
2019
Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations. Zbl 1464.65267
Fan, C. M.; Huang, Y. K.; Chen, C. S.; Kuo, S. R.
43
2019
Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions. Zbl 1481.76193
Qu, Wenzhen; Fan, Chia-Ming; Gu, Yan; Wang, Fajie
23
2019
Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code. Zbl 1470.74067
Gu, Yan; Fan, Chia-Ming; Qu, Wenzhen; Wang, Fajie; Zhang, Chuanzeng
16
2019
The generalized finite difference method for in-plane crack problems. Zbl 1404.74194
Lei, Jun; Xu, Yanjie; Gu, Yan; Fan, Chia-Ming
12
2019
Localized method of fundamental solutions for interior Helmholtz problems with high wave number. Zbl 1464.65275
Qu, Wenzhen; Fan, Chia-Ming; Gu, Yan
11
2019
A direct Chebyshev collocation method for the numerical solutions of three-dimensional Helmholtz-type equations. Zbl 1464.65193
Bai, Zi-Qiang; Gu, Yan; Fan, Chia-Ming
10
2019
Numerical solutions of waves-current interactions by generalized finite difference method. Zbl 1464.74266
Fan, Chia-Ming; Chu, Chi-Nan; Šarler, Božidar; Li, Tsung-Han
8
2019
The MAPS based on trigonometric basis functions for solving elliptic partial differential equations with variable coefficients and Cauchy-Navier equations. Zbl 07316641
Wang, Dan; Chen, C. S.; Fan, C. M.; Li, Ming
5
2019
The method of two-point angular basis function for solving Laplace equation. Zbl 1464.65272
Kuo, Chung-Lun; Yeih, Weichung; Ku, Cheng-Yu; Fan, Chia-Ming
3
2019
The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation. Zbl 1403.65039
Gu, Yan; Lei, Jun; Fan, Chia-Ming; He, Xiao-Qiao
19
2018
Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous media. Zbl 1403.76132
Li, Po-Wei; Chen, Wen; Fu, Zhuo-Jia; Fan, Chia-Ming
14
2018
Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials. Zbl 1403.74282
Wang, Yuanyuan; Gu, Yan; Fan, Chia-Ming; Chen, Wen; Zhang, Chuanzeng
11
2018
The method of particular solutions using trigonometric basis functions. Zbl 1524.65900
Tian, Zhaolu; Li, Xinxiang; Fan, C. M.; Chen, C. S.
5
2018
New explicit iteration algorithms for solving coupled continuous Markovian jump Lyapunov matrix equations. Zbl 1402.93257
Tian, Zhaolu; Fan, C. M.; Deng, Youjun; Wen, P. H.
5
2018
Numerical solutions of mild slope equation by generalized finite difference method. Zbl 1403.76128
Zhang, Ting; Huang, Ying-Jie; Liang, Lin; Fan, Chia-Ming; Li, Po-Wei
4
2018
The method of fundamental solutions for solving non-linear berger equation of thin elastic plate. Zbl 1403.74307
Lei, Bin; Fan, C. M.; Li, Ming
4
2018
Generalized finite difference method for two-dimensional shallow water equations. Zbl 1403.76133
Li, Po-Wei; Fan, Chia-Ming
38
2017
On solving free surface problems in layered soil using the method of fundamental solutions. Zbl 1403.74288
Xiao, Jing-En; Ku, Cheng-Yu; Liu, Chih-Yu; Fan, Chia-Ming; Yeih, Weichung
7
2017
Simulation of two-dimensional sloshing phenomenon by generalized finite difference method. Zbl 1403.65044
Zhang, Ting; Ren, Yu-Fei; Fan, Chia-Ming; Li, Po-Wei
13
2016
Generalized finite difference method for solving two-dimensional inverse Cauchy problems. Zbl 1329.65257
Fan, Chia-Ming; Li, Po-Wei; Yeih, Weichung
34
2015
Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method. Zbl 1403.65164
Ku, Cheng-Yu; Kuo, Chung-Lun; Fan, Chia-Ming; Liu, Chein-Shan; Guan, Pai-Chen
11
2015
Numerical solutions of two-dimensional flow fields by using the localized method of approximate particular solutions. Zbl 1403.78028
Fan, Chia-Ming; Yang, Chi-Hung; Lai, Wei-Shiang
10
2015
Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method. Zbl 1304.65241
Fan, C. M.; Liu, Y. C.; Chan, H. F.; Hsiao, S. S.
5
2014
Solving the Cauchy problem of the nonlinear steady-state heat equation using double iteration process. Zbl 1357.65241
Yeih, Weichung; Chan, I-Yao; Fan, Chia-Ming; Chang, Jiang-Jhy; Liu, Chein-Shan
5
2014
Generalized finite difference method for numerical solutions of density-driven groundwater flows. Zbl 1356.76204
Li, Po-Wei; Fan, Chia-Ming; Chen, Chun-Yu; Ku, Cheng-Yu
5
2014
Solving inverse Stokes problems by modified collocation Trefftz method. Zbl 1293.65145
Fan, Chia-Ming; Li, Hong-Huei; Hsu, Chuan-Yen; Lin, Chun-Hung
4
2014
A double iteration process for solving the nonlinear algebraic equations, especially for ill-posed nonlinear algebraic equations. Zbl 1356.65141
Yeih, Weichung; Chan, I-Yao; Ku, Cheng-Yu; Fan, Chia-Ming; Guan, Pai-Chen
2
2014
Generalized finite difference method for solving two-dimensional non-linear obstacle problems. Zbl 1287.74056
Chan, Hsin-Fang; Fan, Chia-Ming; Kuo, Chia-Wen
36
2013
Solving the inverse Stokes problems by the modified collocation Trefftz method and Laplacian decomposition. Zbl 1302.76055
Fan, Chia-Ming; Li, Hong-Huei
6
2013
The method of approximate particular solutions for solving certain partial differential equations. Zbl 1242.65267
Chen, C. S.; Fan, C. M.; Wen, P. H.
87
2012
Numerical solutions of boundary detection problems using modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm. Zbl 1259.65172
Fan, Chia-Ming; Chan, Hsin-Fang; Kuo, Chung-Lun; Yeih, Weichung
20
2012
The method of approximate particular solutions for solving elliptic problems with variable coefficients. Zbl 1245.65172
Chen, C. S.; Fan, C. M.; Wen, P. H.
65
2011
Frequency response analyses in vibroacoustics using the method of fundamental solutions. Zbl 1398.76173
Wu, C. S.; Young, D. L.; Fan, C. M.
1
2011
The meshless analog equation method for solving heat transfer to molten polymer flow in tubes. Zbl 1190.80013
Hu, S. P.; Fan, C. M.; Young, D. L.
5
2010
The time-marching method of fundamental solutions for wave equations. Zbl 1244.65152
Young, D. L.; Gu, M. H.; Fan, C. M.
25
2009
The method of fundamental solutions for solving incompressible Navier-Stokes problems. Zbl 1244.76104
Young, D. L.; Lin, Y. C.; Fan, C. M.; Chiu, C. L.
22
2009
The method of fundamental solutions with eigenfunctions expansion method for 3D nonhomogeneous diffusion equations. Zbl 1152.65472
Young, D. L.; Chen, C. H.; Fan, C. M.; Shen, L. H.
3
2009
3D hybrid Cartesian/immersed-boundary finite-element analysis of heat and flow patterns in a two-roll mill. Zbl 1157.80314
Chiu, C. L.; Fan, C. M.; Young, D. L.
1
2009
The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation. Zbl 1143.65087
Young, D. L.; Tsai, C. C.; Chen, C. W.; Fan, C. M.
33
2008
The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers’ equations. Zbl 1244.76096
Young, D. L.; Fan, C. M.; Hu, S. P.; Atluri, S. N.
32
2008
FDMFS for diffusion equation with unsteady forcing function. Zbl 1232.65123
Hu, S. P.; Young, D. L.; Fan, C. M.
2
2008
The method of fundamental solutions for 2D and 3D Stokes problems. Zbl 1160.76332
Young, D. L.; Jane, S. J.; Fan, C. M.; Murugesan, K.; Tsai, C. C.
61
2006
The method of fundamental solutions for eigenproblems in domains with and without interior holes. Zbl 1149.35339
Tsai, C. C.; Young, D. L.; Chen, C. W.; Fan, C. M.
27
2006
MFS with time-dependent fundamental solutions for unsteady Stokes equations. Zbl 1195.76324
Tsai, C. C.; Young, D. L.; Fan, C. M.; Chen, C. W.
25
2006
Method of fundamental solutions for multidimensional Stokes equations by the dual-potential formulation. Zbl 1106.76020
Young, D. L.; Chiu, C. L.; Fan, C. M.; Tsai, C. C.; Lin, Y. C.
20
2006
Eulerian-Lagrangian method of fundamental solutions for multi-dimensional advection-diffusion equation. Zbl 1143.65384
Young, D. L.; Fan, C. M.; Tsai, C. C.; Chen, C. W.; Murugesan, K.
6
2006
The method of fundamental solutions with eigenfunction expansion method for nonhomogeneous diffusion equation. Zbl 1098.65099
Young, D. L.; Chen, C. W.; Fan, C. M.; Tsai, C. C.
5
2006
The method of fundamental solutions for Stokes flow in a rectangular cavity with cylinders. Zbl 1103.76319
Young, D. L.; Chen, C. W.; Fan, C. M.; Murugesan, K.; Tsai, C. C.
18
2005
Eigenanalysis for membranes with stringers using the methods of fundamental solutions and domain decomposition. Zbl 1160.74421
Chen, C. W.; Fan, C. M.; Young, D. L.; Murugesan, K.; Tsai, C. C.
7
2005
Time-dependent fundamental solutions for homogeneous diffusion problems. Zbl 1098.76622
Young, D. L.; Tsai, C. C.; Murugesan, K.; Fan, C. M.; Chen, C. W.
62
2004
Analysis of the 2D Stokes flows by the non-singular boundary integral equation method. Zbl 1221.76065
Fan, Chia-Ming; Young, Der-Liang
5
2002
all top 5

Cited by 763 Authors

53 Fan, Chia-Ming
48 Gu, Yan
27 Chen, Wen
27 Wang, Fajie
26 Fu, Zhuojia
22 Li, Xiaolin
21 Young, Der-Liang
20 Zhang, Chuanzeng
19 Li, Po-Wei
19 Liu, Chein-Shan
17 Lin, Ji
17 Qu, Wenzhen
15 Qin, Qinghua
14 Lesnic, Daniel
12 Tsai, Chia-Cheng
12 Ureña, Francisco
11 Benito, Juan José
11 Chai, Yingbin
11 Johansson, B. Tomas
10 Gavete, Luis
9 Li, Junpu
8 Karageorghis, Andreas
8 Li, Wei
8 Marin, Liviu
8 Song, Lina
8 Sun, Linlin
8 Vargas, Antonio Manuel
7 Grabski, Jakub Krzysztof
7 Li, Shuling
7 Qiu, Lin
7 Reeve, Thomas
7 Ureña, Miguel
6 Alves, Carlos J. S.
6 Chen, Zengtao
6 Ku, Cheng-Yu
6 Li, Ming
6 Šarler, Božidar
5 Antunes, Pedro Ricardo Simão
5 Chen, Ching-Shyang
5 Hematiyan, Mohammad Rahim
5 Kolodziej, Jan Adam
5 Salete, Eduardo
5 Zhang, Lan
5 Zhang, Ting
4 Chen, Jeng-Tzong
4 Dehghan Takht Fooladi, Mehdi
4 Du, Guangzhi
4 Golub, Mikhail Vladimirovich
4 Hua, Qingsong
4 Kovářik, Karel
4 Kuo, Chung-Lun
4 Lee, Jia-Wei
4 Lei, Jun
4 Li, Weiwei
4 Ling, Leevan
4 Liu, Chih-Yu
4 Lu, Jun
4 Mohammadi, Mehrdad
4 Mužík, Juraj
4 Negreanu, Mihaela
4 Sun, Hongguang
4 Wang, Chao
4 Xi, Qiang
4 Yao, Guangming
4 Yeih, Weichung
4 Zhang, Xiaohua
4 Zhang, Yongou
3 Andrieux, Stéphane
3 Baranger, Thouraya Nouri
3 Boroomand, Bijan
3 Gao, Hongwei
3 Gong, Yanpeng
3 Gu, Meihua
3 Hon, Yiu-Chung
3 Kao, Shing-Kai
3 Li, Hu
3 Li, Zi-Cai
3 Liu, Fan
3 Liu, Qingguo
3 Nachaoui, Abdeljalil
3 Pettres, Roberto
3 Potier-Ferry, Michel
3 Rabczuk, Timon
3 Rao, Xiang
3 Reutskiy, Sergiy Yu
3 Silvestre, Ana Leonor
3 Sitányiová, Dana
3 Sun, Yao
3 Tang, Zhuochao
3 Valtchev, Svilen S.
3 Wang, Hui
3 Wang, Yong
3 Wang, Zhaoyang
3 Wei, Gaofeng
3 Wei, Xing
3 Xiao, Jing-En
3 Xing, Yanan
3 Zhang, Yuhui
3 Zhao, Hui
3 Zheng, Hui
...and 663 more Authors
all top 5

Cited in 82 Serials

186 Engineering Analysis with Boundary Elements
37 Computers & Mathematics with Applications
23 Applied Mathematics Letters
23 Applied Mathematical Modelling
17 Inverse Problems in Science and Engineering
17 Advances in Applied Mathematics and Mechanics
16 Journal of Computational Physics
16 Applied Mathematics and Computation
14 Mathematics and Computers in Simulation
12 Journal of Computational and Applied Mathematics
9 Numerical Algorithms
9 International Journal of Computational Methods
7 International Journal of Computer Mathematics
7 Mathematical Problems in Engineering
6 Computational Mechanics
6 Numerical Methods for Partial Differential Equations
5 Computers and Fluids
5 Computer Methods in Applied Mechanics and Engineering
5 International Journal of Heat and Mass Transfer
5 International Journal for Numerical Methods in Engineering
4 Acta Mechanica
4 Mathematical Methods in the Applied Sciences
4 AIMS Mathematics
3 Journal of Fluid Mechanics
3 Applied Numerical Mathematics
3 Journal of Scientific Computing
3 Computational and Applied Mathematics
3 Advances in Computational Mathematics
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Applied Mathematics
3 AMM. Applied Mathematics and Mechanics. (English Edition)
2 Applicable Analysis
2 International Journal for Numerical Methods in Fluids
2 Inverse Problems
2 Journal of Engineering Mathematics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Mathematics and Mechanics of Solids
2 European Journal of Mechanics. A. Solids
2 European Journal of Mechanics. B. Fluids
2 Discrete and Continuous Dynamical Systems. Series S
2 International Journal of Applied and Computational Mathematics
2 Electronic Research Archive
2 Results in Applied Mathematics
1 Modern Physics Letters B
1 Computer Physics Communications
1 International Journal of Engineering Science
1 International Journal of Theoretical Physics
1 Journal of Mathematical Physics
1 Journal of the Mechanics and Physics of Solids
1 Wave Motion
1 Chaos, Solitons and Fractals
1 BIT
1 SIAM Journal on Numerical Analysis
1 Journal of Computational Mathematics
1 Mathematical and Computer Modelling
1 Computational Mathematics and Modeling
1 Computational Mathematics and Mathematical Physics
1 Advances in Engineering Software
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Complexity
1 Abstract and Applied Analysis
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Fractional Calculus & Applied Analysis
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Engineering Computations
1 Lobachevskii Journal of Mathematics
1 Qualitative Theory of Dynamical Systems
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Advances in Difference Equations
1 Frontiers of Mathematics in China
1 Communications in Computational Physics
1 Networks and Heterogeneous Media
1 Journal of Nonlinear Science and Applications
1 S\(\vec{\text{e}}\)MA Journal
1 Mathematics
1 Journal of Linear and Topological Algebra
1 Journal of Function Spaces
1 Journal of Mathematical Modeling
1 Computational Methods for Differential Equations
1 Journal of Applied Mathematics and Computational Mechanics
1 SN Partial Differential Equations and Applications

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