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
Iterative Methods for Sparse Linear Systemsby Yousef Saad - PWS
The book gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations. The methods described are iterative, i.e., they provide sequences of approximations that will converge to the solution.
(9648 views)
Finite Difference Computing with PDEsby Hans Petter Langtangen, Svein Linge - Springer
This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners.
(3798 views)
First Steps in Numerical Analysisby R. Hosking, S. Joe, D. Joyce, and J. Turner
This book provides an excellent introduction to the elementary concepts and methods of numerical analysis for students meeting the subject for the first time. The subject matter is organized into fundamental topics and presented as a series of steps.
(11945 views)
Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphicsby Justin Solomon - CRC Press
Using examples from a broad base of computational tasks, including data processing and computational photography, the book introduces numerical modeling and algorithmic design from a practical standpoint and provides insight into theoretical tools.
(7182 views)