Links

AMS

Mathematics of Computation

Cambridge

Acta Numerica

EDP Sciences

ESAIM: M2AN

Elsevier

Applied Mathematics and Computation Applied Numerical Mathematics Computers & Mathematics with Applications Journal of Computational and Applied Mathematics

Oxford

IMA Journal of Applied Mathematics IMA Journal of Numerical Analysis (IMAJNA)

SIAM

SIAM Journal on Numerical Analysis (SINUM)

Springer

Advances in Computational Mathematics Applications of Mathematics BIT Numerical Mathematics Calcolo Computational and Applied Mathematics Foundations of Computational Mathematics (FoCM) Fractional Calculus and Applied Analysis Japan Journal of Industrial and Applied Mathematics (JJIAM) Journal of Scientific Computing Numerical Algorithms Numerische Mathematik SeMA Journal

Taylor & Francis

International Journal of Computer Mathematics

Wiley

Numerical Methods for Partial Differential Equations Numerical Methods in Fluids

数学者向けの有限要素法に関する標準的な参考書として，以下の書籍が挙げられます．日本語で書かれたものは数多くはありませんが，基礎から応用までを体系的に学ぶ上で有用です．

• [菊地1] 有限要素法の数理
• [菊地2] 有限要素法概説
• [斉藤] 偏微分方程式の計算数理
• [田端] 偏微分方程式の数値解析

• [Braess] Finite elements
• [Brenner&Scott] The Mathematical Theory of Finite Element Methods
• [Ciarlet] The Finite Element Method for Elliptic problems
• [Ern&Guermond1] Theory and Practice of Finite Elements
• [Ern&Guermond2] Finite Elements Ⅰ
• [Ern&Guermond3] Finite Elements Ⅱ
• [Ern&Guermond4] Finite Elements Ⅲ

• [Bernardi,Girault,Hecht,Raviart,Rivière] Mathematics and Finite Element Discretizations of Incompressible Navier-Stokes Flows
• [Boffi,Brezzi,Fortin] Mixed Finite Element Methods and Applications
• [John] Finite element methods for incompressible flow problems