**Geometric Transformation of Finite Element Methods: Theory and Applications**

by M. Holst, M. Licht

**Publisher**: arXiv.org 2018**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.

Download or read it online for free here:

**Download link**

(300KB, PDF)

## Similar books

**Numerical Analysis I**

by

**Mark Embree**-

**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)

**Introduction to Numerical Methods**

by

**Jeffrey R. Chasnov**-

**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)

**Numerical Recipes in Fortran 90**

by

**William H. Press, at al.**-

**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)

**Computing of the Complex Variable Functions**

by

**Solomon I. Khmelnik, Inna S. Doubson**-

**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)