Numerical Methods for Nonlinear Variational Problems
Numerical Methods for Nonlinear Variational Problems
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DOI：
10.1115/1.3169136
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发表时间：
1985-09
期刊：
影响因子：
--
通讯作者：
R. Glowinski;J. Oden
中科院分区：
文献类型：
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作者：
R. Glowinski;J. Oden
许多力学和物理问题都有变分公式，这使得它们适合用有限元技术和有效的迭代方法进行数值处理。这本书描述了数学背景和审查的技术解决问题，包括那些需要大的计算，如跨音速流动的可压缩流体和不可压缩粘性流体的Navier-Stokes方程。有限元近似和非线性松弛，增广拉格朗日和非线性最小二乘法都详细介绍，因为是许多应用。《非线性变分问题的数值方法》最初发表在《计算物理学的施普林格系列》中，是应用数学、计算物理学和工程学的经典之作。这期待已久的软封面再版仍然是一个宝贵的资源，为从业者在工业和物理和先进的学生。
Many mechanics and physics problems have variational formulations making them appropriate for numerical treatment by finite element techniques and efficient iterative methods. This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, augmented Lagrangians, and nonlinear least square methods are all covered in detail, as are many applications. "Numerical Methods for Nonlinear Variational Problems," originally published in the Springer Series in Computational Physics, is a classic in applied mathematics and computational physics and engineering. This long-awaited softcover re-edition is still a valuable resource for practitioners in industry and physics and for advanced students.