Simplicial Partitions with Applications to the Finite Element Method

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À propos

This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method. This active area of research has become an essential part of physics and engineering, for example in the study of problems involving heat conduction, linear elasticity, semiconductors, Maxwell's equations, Einstein's equations and magnetic and gravitational fields.
These problems require the simulation of various phenomena and physical fields over complicated structures in three (and higher) dimensions. Since not all structures can be decomposed into simpler objects like d-dimensional rectangular blocks, simplicial partitions are important. In this book an emphasis is placed on angle conditions guaranteeing the convergence of the finite element method for elliptic PDEs with given boundary conditions. 
It is aimed at a general mathematical audience who is assumed to be familiar with only a few basic results from linear algebra, geometry, and mathematical and numerical analysis. 

  • EAN

    9783030556778

  • Disponibilité

    Disponible

  • Copy

    Authorized with restriction

  • Copy count

    1

  • Print

    Authorized with restriction

  • Print count

    1

  • Share

    Authorized with restriction

  • Share count

    6 devices

  • Poids

    17 500 Ko

  • Distributeur

    Numilog

  • Diffuseur

    Numilog

  • Entrepôt

    Numilog

  • Support principal

    ebook (ePub)

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