Mixed Finite Element Method

The main purpose of this book is to provide a simple and accessible introduction to the mixed finite element method as a fundamental tool to numerically solve a wide class of boundary value problems arising in physics and engineering sciences.

This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations.

This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis.

This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis.

This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis.

This book focuses on the finite element method in fluid flows. It is targeted at researchers, from those just starting out up to practitioners with some experience. Part I is devoted to the beginners who are already familiar with elementary calculus. Precise concepts of the finite element method remitted in the field of analysis of fluid flow are stated, starting with spring structures, which are most suitable to show the concepts of superposition/assembling.

by Maria Radwańska (Author), Anna Stankiewicz (Author), Adam Wosatko (Author), Jerzy Pamin (Author)
Comprehensively covers the fundamental theory and analytical and numerical solutions for different types of plate and shell structures