An Introduction 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.

A priori error estimates,

Galerkin Finite element method,

Stabilty,

Differential equations,

A posteriori error estimates,

Convergence,

Författare

Mohammad Asadzadeh

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Ämneskategorier

Beräkningsmatematik

Annan matematik

Matematisk analys

ISBN

9781119671640

Utgivare

Wiley Online Library

Mer information

Senast uppdaterat

2021-01-29