论文标题
域分解抛物线蒙加蒙格 - 安培方法，用于快速生成自适应移动网格
Domain Decomposition Parabolic Monge-Ampère Approach for Fast Generation of Adaptive Moving Meshes
论文作者
论文摘要
提出了一种快速方法，用于使用域分解抛物线抛物线Monge-Ampère方法在多维中自适应移动网格生成。此处采用的域分解过程是非著作的，涉及将计算域分配到重叠的子域中。然后，使用抛物线蒙奇 - ampère方法计算每个子域上的自适应网格作为$ l^2 $最佳传质问题的解决方案的图像。域分解方法可以直接实现自适应网格的并行计算，这有助于大大减少计算时间。提出了结果，以显示域分解解与单个域解决方案的数值收敛性。进行了几个数值实验，以证明所提出方法的性能和效率。数值结果表明，域分解抛物线抛物线monge-ampère方法比整个域上的抛物线蒙格 - ampère方法的标准实现更有效，尤其是在三个空间维度中计算自适应网格时。
A fast method is presented for adaptive moving mesh generation in multi-dimensions using a domain decomposition parabolic Monge-Ampère approach. The domain decomposition procedure employed here is non-iterative and involves splitting the computational domain into overlapping subdomains. An adaptive mesh on each subdomain is then computed as the image of the solution of the $L^2$ optimal mass transfer problem using a parabolic Monge-Ampère method. The domain decomposition approach allows straightforward implementation for the parallel computation of adaptive meshes which helps to reduce computational time significantly. Results are presented to show the numerical convergence of the domain decomposition solution to the single domain solution. Several numerical experiments are given to demonstrate the performance and efficiency of the proposed method. The numerical results indicate that the domain decomposition parabolic Monge-Ampère method is more efficient than the standard implementation of the parabolic Monge-Ampère method on the whole domain, in particular when computing adaptive meshes in three spatial dimensions.
