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This book is written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a tutorial for readers who are new to the topic. Following the tutorial, chapters in Part I address fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.

Differential equations, Partial -- Numerical solutions. --- Differential equations. --- Finite element method. --- Finite element method --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Computer Science --- Calculus --- Differential equations --- Data processing. --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- 517.91 Differential equations --- Mathematics. --- Earth sciences. --- Numerical analysis. --- Computer mathematics. --- Computer software. --- Physics. --- Applied mathematics. --- Engineering mathematics. --- Mathematical Software. --- Theoretical, Mathematical and Computational Physics. --- Numeric Computing. --- Appl.Mathematics/Computational Methods of Engineering. --- Computational Science and Engineering. --- Earth Sciences, general. --- Engineering --- Engineering analysis --- Mathematical analysis --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Software, Computer --- Computer systems --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Geosciences --- Environmental sciences --- Math --- Science --- Numerical analysis --- Isogeometric analysis --- Electronic data processing. --- Computer science. --- Geography. --- Mathematical and Computational Engineering. --- Cosmography --- Earth sciences --- World history --- Informatics --- ADP (Data processing) --- Automatic data processing --- Data processing --- EDP (Data processing) --- IDP (Data processing) --- Integrated data processing --- Computers --- Office practice --- Automation --- Mathematical physics. --- Physical mathematics --- Physics --- Numerical solutions --- Computer science

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book is written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a tutorial for readers who are new to the topic. Following the tutorial, chapters in Part I address fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.

theoretische fysica --- Computer. Automation --- geografie --- informatica --- Mathematical physics --- numerieke analyse --- Mathematical control systems --- Engineering sciences. Technology --- informaticaonderzoek --- ingenieurswetenschappen --- Computer science --- Geology. Earth sciences --- 681.3 *G18 --- 519.63 --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Appl.Mathematics/Computational Methods of Engineering. --- Computational Science and Engineering. --- Computer science. --- Computer software. --- Earth Sciences, general. --- Electronic data processing. --- Engineering mathematics. --- Geography. --- Mathematical Software. --- Mathematics. --- Numeric Computing. --- Theoretical, Mathematical and Computational Physics.