The finite element method is widely used in analysis of engineering problems. However, there are some problems that should be solved. These problems are such as automatic mesh generation, error analysis, adaptive mesh refinement and so forth. In this ...
The finite element method is widely used in analysis of engineering problems. However, there are some problems that should be solved. These problems are such as automatic mesh generation, error analysis, adaptive mesh refinement and so forth. In this respect, this paper is composed of three parts dealing respectively with automatic mesh generation, error analysis and adaptive mesh refinement.
Conclusions obtained through above study are as follows.
① The program using discrete transfinite mapping method can construct adaptive mesh automatically.
② The validity of error indicator is demonstrated in the stress concentration problems.
③ A near-optimal mesh for a given accuracy of solution can be obtained in 3 to 4 steps of iteratvie refinement.