An Introdfuction to Finite Element Method for Differential Equations
Book, 2020

This text introduces the Galerkin finite element method for approximate solution of differential equations. It starts with a modern theoretical approach to the well-posedness issue, physical derivations of the equation as well as mathematical tools. Both initial- and boundary value problems are treated in single- and multi-dimensions and stability, and convergence are discussed and proved in details. The converhence analysis are in "a priori" (theoretical) as well as "a posteriori" (computational) settings. There are MATLAB-codes to test different application examples. The text is desigen to be accesible for upper undergraduates and
graduate students in applied science and engineeering disciplines.

Galerkin Finite element method,

A priori error estimates,

A posteriori error estimates,

Stabilty,

Convergence,

Differential equations,

Author

Mohammad Asadzadeh

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Subject Categories

Computational Mathematics

Other Mathematics

Mathematical Analysis

ISBN

9781119671640

More information

Created

10/14/2020