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
![Book cover: Lectures on Topics In Finite Element Solution of Elliptic Problems](images/7568.jpg)
by Bertrand Mercier - Tata Institute of Fundamental Research
Contents: Sobolev Spaces; Abstract Variational Problems and Examples; Conforming Finite Element Methods; Computation of the Solution of the Approximate Problem; Problems with an Incompressibility Constraint; Mixed Finite Element Methods; etc.
(9832 views)
![Book cover: Numerical Analysis: Theory and Application](images/6425.jpg)
by Jan Awrejcewicz - InTech
The book introduces theoretical approach to numerical analysis as well as applications of various numerical methods to solving numerous theoretical and engineering problems. The book is useful for both theoretical and applied research.
(11965 views)
![Book cover: Iterative Methods for Sparse Linear Systems](images/3646.jpg)
by 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.
(11969 views)
![Book cover: First Semester in Numerical Analysis with Julia](images/12315.jpg)
by Giray Ökten - Florida State University
The book presents the theory and methods, together with the implementation of the algorithms using the Julia programming language. The book covers computer arithmetic, root-finding, numerical quadrature and differentiation, and approximation theory.
(6764 views)