The Finite Element Method: An Introduction with Partial Differential Equations

The finite element method is a method for solving problems in applied science and engineering. The essence of this book is the application of the finite element method to the solution of boundary and initial-value problems posed when it comes to partial differential equations. The method is developed for the solution of Poisson’s equation, in a weighted-residual context, and then proceeds to time-dependent and nonlinear problems. The relationship with the variational approach could also be explained.

This book is written at an introductory level, developing the entire necessary concepts where required. As a result, it’s well-placed for use as a textbook for a course in finite elements for final year undergraduates, the standard place for studying finite elements. There are worked examples right through and each and every chapter has a set of exercises with detailed solutions.