本书为有限元方法系列专著的第1卷??基本原理，涵盖了有限元分析的一些基础领域，同时还涉足有限元分析的前沿内容。本卷共20章，内容广泛，既强调有限元的数学力学原理，又结合工程实际背景。该书的第1版完成于1967年，到现在已出版第5版，历时40余年，成为有限元领域的经典著作，已有几代从事计算力学的学者从该书中受益。本书可作为高年级本科生和研究生的课程学习参考书，也是从事有限元研究的科研人员和工程技术人员的重要学习文献。

Prefacecknowledgementsntroductionohequationsfluidynamicsndheinitelementpproximation.1eneralemarksndlassificationfluidynamicsroblemsiscussednhisook.2heoverningquationsfluidynamics.3nviscid,ncompressiblelow.4ncompressibleorearlyncompressible)lows.5umericalolutions:eakorms,eightedesidualndinitelementpproximation.6oncludingemarkseferencesonvectionominatedroblemsinitelementpproximationsoheonvection??diffusion-reactionquation.1ntroduction.2heteady-stateroblemnneimension.3heteady-stateroblemnwoorhree)imensions.4teadytateoncludingemarks.5ransientsntroductoryemarks.6haracteristic-basedethods.7aylor-Galerkinroceduresorcalarariables.8teady-stateondition.9on-linearavesndhocks.10reatmentfureonvection.11oundaryonditionsforonvection-diffusion.12ummaryndoncludingemarkseferencesheharacteristic-basedplitCBS)lgorithm.eneralrocedureorompressiblendncompressiblelow.1ntroduction.2on-dimensionalormfheoverningquations.3haracteristic-basedplitCBS)lgorithm.4xplicit,emi-implicitndearlymplicitorms.5rtificialompressibilityndualimetepping.6Circumvention\'fheabuska-BrezziBB)estrictions.7ingle-stepersion.8oundaryonditions.9heerformancefwo-stepndne-steplgorithmsnnnviscidroblem.10oncludingemarkseferencesncompressibleewtonianaminarlows.1ntroductionndheasicquations.2sefheBSlgorithmorncompressiblelows.3daptiveeshefinement.4daptiveeshenerationorransientroblems.5lowlowsixedndenaltyormulations.6oncludingemarkseferencesncompressibleon-Newtonianlows.1ntroduction.2