Geometric Transformation of Finite Element Methods: Theory and Applications

Small book cover: Geometric Transformation of Finite Element Methods: Theory and Applications

Geometric Transformation of Finite Element Methods: Theory and Applications

Publisher: arXiv.org
Number of pages: 21

We present a new technique to apply finite element methods to partial differential equations over curved domains. Our main result is that a recently developed broken Bramble-Hilbert lemma is key in harnessing regularity in the physical problem to prove higher-order finite element convergence rates for the parametric problem.

Home page url

Download or read it online for free here:
Download link
(300KB, PDF)

Similar books

Book cover: Computational Mathematics for Differential EquationsComputational Mathematics for Differential Equations
This is a manual on solving problems in computational mathematics. The book is intended primarily for engineering students, but may also prove useful for economics students, graduate engineers, and postgraduate students in the applied sciences.
Book cover: Fundamental Numerical Methods and Data AnalysisFundamental Numerical Methods and Data Analysis
'Fundamental Numerical Methods and Data Analysis' can serve as the basis for a wide range of courses that discuss numerical methods used in science. The author provides examples of the more difficult algorithms integrated into the text.
Book cover: Numerical Recipes in Fortran 90Numerical Recipes in Fortran 90
by - Cambridge University Press
Numerical Recipes in Fortran 90 contains a detailed introduction to the Fortran 90 language and to the basic concepts of parallel programming, plus source code for all routines from the second edition of Numerical Recipes.
Book cover: Introduction to Numerical MethodsIntroduction to Numerical Methods
by - The Hong Kong University
This is primarily for non-mathematics majors and is required by several engineering departments. Contents: IEEE Arithmetic; Root Finding; Systems of equations; Least-squares approximation; Interpolation; Integration; Ordinary differential equations.