book for study finite element method

Question

I want to study finite element method for study partial differential equations in particular for parabolic type equation. Can you recommend a book which includes espesially mathematical background?

Thanks in advance...

Answer 1

Try Larson, Bengzon: The Finite Element Method.

Answer 2

I came up too late, but I recommend a series of books for finite element method with different approach for future reading.

For engineering approach:

• Huebner - The Finite Element Method For Engineers.

For a introduction to the mathematical theory:

• Sayas - A gentle Introduction to Finite Element Method link.
• Brenner & Scott - The Mathematical Theory of Finite Element Method.
• Braess - Finite Elements Theory, Fast Solvers, and Applications in Elasticity Theory.
• Solin et al. - Higher-Order Finite Element Methods. (Implementation aspects)

Introductory books for research purposes.

• Demkowicz- Mathematical Theory of Finite Element Method link (For DPG method with optimal test functions).
• Gatica - A Simple Introduction to the Mixed Finite Element Method.
• Sayas - First steps in the boundary element method link
• Girault & Raviart - Finite element methods for Navier-Stokes equations.
• Monk - Finite Element Methods for Maxwell's Equations.

Online Courses:

• Introduction to Finite Element Methods

• High Performance Finite Element Modeling-i-and-ii-1.769003