Finite Element and Reduced Dimension Methods for Partial Differential Equations

Zhendong Luo has been engaged in the research on numerical solutions of partial differential equations (PDEs) in computational mathematics since 1986. His main research interests are finite element method and computational fluid dynamics and its numerical simulation. He has hosted and participated in more than 20 scientific research projects supported by National Natural Science Foundation of China or provincial and ministerial department. Luo has published a monograph and more than 260 research papers.

• Preface.- Basic Theory of Standard Finite Element Method.- Basic Theory of Mixed Finite Element Method.- Mixed Finite Element Methods for the Unsteady Partial Differential Equations.- The Reduced Dimension Methods of Finite Element Subspaces for Unsteady Partial Differential Equations.- The Reduced Dimension of Finite Element Solution Coefficient Vectors for Unsteady Partial Differential Equations.- Bibliography.- Index.