References
- J. Ling and D. S. Yang, Virtual Boundary Meshless with Trefftz Method for the Steady-State Heat, Numer. Heat Transfer B, vol. 68, pp. 141–157, 2015.
- C. M. Fan and H. F. Chan, Modified Collocation Trefftz Method for the Geometry Boundary Identification Problem of Heat Conduction, Numer. Heat Transfer B, vol. 59, pp. 58–75, 2011.
- W. Chen and M. Tanaka, New Insights into Boundary-Only and Domain-Type RBF Methods, Int. J. Nonlinear Sci. Numer. Simul., pp. 145–151, 2000.
- S. N. Atluri and Tulong Zhu, New Concepts in Meshless Methods, Int. J. Numer. Meth. Eng., vol. 47, pp. 537–556, 2000.
- E. Trefftz, Ein Gegenstück zum Ritzschen Verfahren, Proceedings of 2nd International Congress for Applied Mechanics, Zürich, pp. 131–137, 1926.
- E. Kita and N. Kamiya, Trefftz Method: An Overview, Adv. Eng. Software, vol. 24, pp. 3–12, 1995.
- Z. C. Li, Z. Z. Lu, H. Y. Hu, and A. H.-D. Cheng, Trefftz and Collocation Methods, WIT Press, Southampton/Boston, 2008.
- J. T. Chen, C. S. Wu, Y. T. Lee, and K. H. Chen, On the Equivalence of the Trefftz Method and Method of Fundamental Solutions for Laplace and Biharmonic Equations, Comput. Math. Appl., vol. 53, pp. 851–879, 2007.
- C. C. Tsai, Y. C. Lin, D. L. Young, and S. N. Atluri, Investigations on the Accuracy and Condition Number for the Method of Fundamental Solutions, CMES—Comput. Model Eng. Sci., vol. 16, no. 2, pp. 103–114, 2006.
- C. M. Fan, H. F. Chan, C. L. Kuo, and W. Yeih, Numerical Solutions of Boundary Detection Problems Using Modified Collocation Trefftz Method and Exponentially Convergent Scalar Homotopy algorithm, Eng. Anal. Boundary Elem., vol. 36, pp. 2–8, 2012.
- C. Y. Ku, C. L. Kuo, C. M. Fan, C. S. Liu, and P. C. Guan, Numerical Solution of Three-Dimensional Laplacian Problems Using the Multiple Scale Trefftz Method, Eng. Anal. Boundary Elem., vol. 50, pp. 157–168, 2015.
- C. Y. Ku, On Solving Three-Dimensional Laplacian Problems in a Multiply Connected Domain Using the Multiple Scale Trefftz Method, CMES—Comput. Model. Eng. Sci., vol. 98, pp. 509–541, 2014.
- C. S. Chen, H. A. Cho, and M. A. Golberg, Some Comments on the Ill-Conditioning of the Method of Fundamental Solutions, Eng. Anal. Boundary Elem., vol. 30, pp. 405–410, 2006.
- C. S. Liu, A Modified Trefftz Method for Two-Dimensional Laplace Equation Considering the Domain’s Characteristic Length, CMES—Comput. Model. Eng. Sci., vol. 21, pp. 53–65, 2007.
- C. S. Liu, A Modified Collocation Trefftz Method for the Inverse Cauchy Problem of Laplace Equation, Eng. Anal. Boundary Elem., vol. 32, pp. 78–85, 2008.
- C. S. Liu and S. N. Atluri, Numerical Solution of the Laplacian Cauchy Problem by Using a Better Postconditioning Collocation Trefftz Method, Eng. Anal. Boundary Elem., vol. 37, pp. 74–83, 2013.
- W. Yeih, C. S. Liu, C. L. Kuo, and S. N. Atluri, On Solving Direct/Inverse Cauchy Problems of Laplace Equation in a Multiply Connected Domain, Using the Generalized Multiple-Source-Point Boundary-Collocation Trefftz Method & Characteristic Lengths, CMES—Comput. Model. Eng. Sci., vol. 17, pp. 275–302, 2010.
- D. W. Hahn and M. N. Ozisik, Heat Conduction, John Wiley, Hoboken, NJ, 2012.