论文标题
多域galerkin-Colocation方法：标量场的特征球形塌陷
Multidomain Galerkin-Collocation method: characteristic spherical collapse of scalar fields
论文作者
论文摘要
我们在感兴趣的情况下使用Galerkin-Colocaration（GC）方法对光谱域分解技术进行系统实现，例如在特征配方中标量场的球形崩溃。我们讨论了连续子域的界面上的传输条件，这些界面对于双曲线问题的域分解技术至关重要。我们用任意数量的子域实施了代码，在验证它们后，我们应用于关键崩溃的问题。通过适度的分辨率，由于关键解决方案的离散自相似性，我们获得了Choptuik的缩放定律及其振荡成分。
We initiate a systematic implementation of the spectral domain decomposition technique with the Galerkin-Collocation (GC) method in situations of interest such as the spherical collapse of a scalar field in the characteristic formulation. We discuss the transmission conditions at the interface of contiguous subdomains that are crucial for the domain decomposition technique for hyperbolic problems. We implemented codes with an arbitrary number of subdomains, and after validating them, we applied to the problem of critical collapse. With a modest resolution, we obtain the Choptuik's scaling law and its oscillatory component due to the discrete self-similarity of the critical solution.
