1. A universal algorithm is proposed for local refinement of any conforming triangulation to generate a new conforming triangulation.
2. An algorithm based on multigrid adaptive solution is developed for solving two-dimensional boundary value problems.
3. Data structures are designed to meet the requirements of the generation process and track different grid levels.
The article provides a comprehensive overview of the development and implementation of an algorithm based on multigrid adaptive solution for solving two-dimensional boundary value problems. The article is well written and provides detailed information about the algorithms, data structures, and numerical examples used in the study. The authors have provided sufficient evidence to support their claims, such as references to other studies and research papers that have been conducted in this field.
However, there are some potential biases in the article that should be noted. For example, the authors do not provide any counterarguments or explore alternative solutions to the problem they are trying to solve. Additionally, there is no discussion of possible risks associated with using this algorithm or any potential drawbacks that could arise from its use. Furthermore, while the authors provide references to other studies and research papers, they do not present both sides equally or discuss any opposing views on the topic at hand.
In conclusion, while this article provides a comprehensive overview of an algorithm based on multigrid adaptive solution for solving two-dimensional boundary value problems, it does contain some potential biases that should be taken into consideration when evaluating its trustworthiness and reliability.