Finite element exterior calculus / Douglas N. Arnold (University of Minnesota, Minneapolis, Minnesota).

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"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...

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Bibliographic Details
Uniform Title:CBMS-NSF regional conference series in applied mathematics ; 93.
Main Author: Arnold, Douglas N., 1954- (Author)
Language:English
Published: Philadelphia : Society for Industrial and Applied Mathematics, [2018]
Series:CBMS-NSF regional conference series in applied mathematics ; 93.
Subjects:
Differential equations > Numerical solutions.
Finite element method.
Calculus.
Calculus of variations.
Physical Description:xi, 120 pages : illustrations ; 26 cm.
Format: Book
Contents:
  • Introduction
  • Basic notions of homological algebra
  • Basic notions of unbounded operators on Hilbert spaces
  • Hilbert complexes
  • Approximation of Hilbert complexes
  • Basic notions of exterior calculus
  • Finite element differential forms
  • Further directions and applications.