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: Theory and ApplicationNumerical Analysis: Theory and Application
by - 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.
(7092 views)
Book cover: Numerical Methods For Time Dependent EquationsNumerical Methods For Time Dependent Equations
by - 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.
(5987 views)
Book cover: Iterative Methods for Linear and Nonlinear EquationsIterative Methods for Linear and Nonlinear Equations
by - SIAM
This book focuses on a small number of methods and treats them in depth. The author provides a complete analysis of the conjugate gradient and generalized minimum residual iterations as well as recent advances including Newton-Krylov methods.
(7331 views)
Book cover: First Semester in Numerical Analysis with JuliaFirst Semester in Numerical Analysis with Julia
by - 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.
(1654 views)