The Simple Solution Of Boundary Element Method For(Thermal)Elasticity Problem And Stokes Problem

For a long time,the effective calculation of singular integrals has attracted the attention of many researchers.Although some methods have been studied,there are no good solution to solve it because of the properties of the method itself.Based on the existing methods and techniques,the method proposed in this paper provides a new idea for the calculation of singular integrals.It does not need to derive complex integral equations,is easy to be realized by programming,and it does not need complicated computation and has high precision.The study is an attempt of this method in(thermal)elasticity and Stokes problems.The first chapter compares and introduces the numerical methods,especially the characteristics of BEM,and lists the importance of this paper.In the second chapter,there are the basic equations and related theorems of the elastic problem,some thermoelastic problem and the Stokes problem are given in the chapter,and the method of transforming the region integral is given for the thermoelastic problem,and the knowledge of the quadric continuous element and the geometric element is introduced.The third chapter is the study of the elastic problem,including two and three dimensions,and gives different simple solutions to two and three dimensional problems.And the fourth chapter,the simple solution of BEM in thermoelastic problem.The fifth chapter mainly introduces the simple solution boundary element method of two-dimensional Stokes problems.Numerical examples are given for each type of problems,and the results show that the method is feasible,easy to be programmed,simple in theory,and expansible.