Finite Element Exterior Calculus is popular PDF and ePub book, written by Douglas N. Arnold in 2018-12-12, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Finite Element Exterior Calculus can be Read Online from any device for your convenience.
Finite Element Exterior Calculus Book PDF Summary
Computational methods to approximate the solution of differential equations play a crucial role in science, engineering, mathematics, and technology. The key processes that govern the physical world?wave propagation, thermodynamics, fluid flow, solid deformation, electricity and magnetism, quantum mechanics, general relativity, and many more?are described by differential equations. We depend on numerical methods for the ability to simulate, explore, predict, and control systems involving these processes. The finite element exterior calculus, or FEEC, is a powerful new theoretical approach to the design and understanding of numerical methods to solve partial differential equations (PDEs). The methods derived with FEEC preserve crucial geometric and topological structures underlying the equations and are among the most successful examples of structure-preserving methods in numerical PDEs. This volume aims to help numerical analysts master the fundamentals of FEEC, including the geometrical and functional analysis preliminaries, quickly and in one place. It is also accessible to mathematicians and students of mathematics from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs.
Detail Book of Finite Element Exterior Calculus PDF
- Author : Douglas N. Arnold
- Release : 12 December 2018
- Publisher : SIAM
- ISBN : 9781611975536
- Genre : Mathematics
- Total Page : 126 pages
- Language : English
- PDF File Size : 9,5 Mb
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