| Summary: | 碩士 === 國立宜蘭大學 === 土木工程學系碩士班 === 100 === In this thesis, we apply the developed new error estimation technique in boundary element (BEM) and the Trefftz method to estimate the numerical error which is formed in solving real engineering problems. Previous literatures authors, Chen (2010) and Jhong (2011) did not apply this technique in the real engineering problems. Therefore, this thesis will extend this technique to estimate the error caused by using BEM and Trefftz method for solving torsion problem and anti-plane shear problem with inclusions. The main characteristic of this technique is that the exact solution is unnecessary. By creating an auxiliary problem that the governing equation, domain shape and boundary condition type are the same as original problem, we can obtain the optimal number of elements in the BEM and the optimal number of collocation points in the Trefftz method. Finally, several real cases in literatures are taken to demonstrate the accuracy of the proposed estimation technique applied in real problem.
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