U.S.-Argentina Cooperative Research: Mathematical Analysis of Numeric Solutions in Computational Mechanics

该奖项支持合作研究， 路易斯·卡法雷利和 高级研究所的安东尼詹姆森和 协会的Sergio Idelsohn和Nintendo Aguilera 阿根廷的机械计算。 研究 将在计算空气动力学领域 目的是开发准确的， 预测空气动力流的有效方法 飞机或其主要部件。 这 工作将继续进行富有成效的研究免费 边界问题出现在几个方面 包括火焰传播。 卡法雷利和阿奎莱拉将专注于免费 边界问题及其奇异摄动， 特别是水平表面的均匀行为， 数值计算方法的稳定性。 另一方面，詹姆森和伊德尔森将集中在 他们对小粘度流动的研究， 使用数值技术的极限， 算子、局部变分原理和有限 元素方法

This award supports cooperative research in computational mechanics between Luis Caffarelli and Antony Jameson of the Institute for Advanced Study and Sergio Idelsohn and Nestor Aguilera of the Association for Mechanical Computation in Argentina. The research will be in the field of computational aerodynamics with the objective of developing accurate and efficient methods of predicting aerodynamic flows around aircraft or their principal components. This work will continue productive ongoing research on free boundary problems which arise in several contexts including flame propagation. Caffarelli and Aguilera will concentrate on the free boundary problems and their singular perturbations, in particular the uniform behavior of level surfaces and the stability of numerical methods of calculation. Jameson and Idelsohn on the other hand will center their work on flows with small viscosity and their limits using numerical techniques, symmetrization of operators, local variational principles and finite element methods.