Geometric Transformation of Finite Element Methods: Theory and Applications
by M. Holst, M. Licht
Publisher: arXiv.org 2018
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:
by Leon Q. Brin - Southern Connecticut State University
A one semester introduction to numerical analysis. Includes typical introductory material, root finding, numerical calculus, and interpolation techniques. The focus is on the mathematics rather than application to engineering or sciences.
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.
by L. M. Milne Thomson - Macmillan and co
The object of this book is to provide a simple account of the subject of Finite Differences and to present the theory in a form which can be readily applied -- not only the useful material of Boole, but also the more modern developments.
by P. Lascaux - Tata Institute of Fundamental Research
The solution of time dependent equations of hydrodynamics is a subject of great importance. This book is mainly concentrated on the study of the stability of the various schemes. We have considered only the stability for linearized problems.