Logo

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
by

Publisher: arXiv.org
Number of pages: 21

Description:
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: Numerical Analysis INumerical Analysis I
by - Rice University
This course takes a tour through many algorithms of numerical analysis. We aim to assess alternative methods based on efficiency, to discern well-posed problems from ill-posed ones, and to see these methods in action through computer implementation.
(13053 views)
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.
(7863 views)
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.
(17031 views)
Book cover: Computing of the Complex Variable FunctionsComputing of the Complex Variable Functions
by - MiC
Hardware algorithms for computing of all elementary complex variable functions are proposed. Contents: A method 'digit-by-digit'; Decomposition; Compositions; Two-step-by-step operations; Taking the logarithm; Potentiation; and more.
(8592 views)