An Introdfuction to Finite Element Method for Differential Equations
Bok, 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,

Författare

Mohammad Asadzadeh

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Ämneskategorier

Beräkningsmatematik

Annan matematik

Matematisk analys

ISBN

9781119671640

Mer information

Skapat

2020-10-14