Solution Theory, Variational Formulations, and Functional A Posteriori Error Estimates for General First Order Systems with Applications to Electro-Magneto-Statics and More
Numerical Analysis
2018-05-23 v2 Analysis of PDEs
Functional Analysis
Abstract
We prove a comprehensive solution theory using tools from functional analysis, show corresponding variational formulations, and present functional a posteriori error estimates for general linear first order systems. As a prototypical application we will discuss the system of electro-magneto statics with mixed tangential and normal boundary conditions. Second order systems will be considered as well.
Keywords
Cite
@article{arxiv.1611.02993,
title = {Solution Theory, Variational Formulations, and Functional A Posteriori Error Estimates for General First Order Systems with Applications to Electro-Magneto-Statics and More},
author = {Dirk Pauly},
journal= {arXiv preprint arXiv:1611.02993},
year = {2018}
}
Comments
Keywords: general first order systems, functional a posteriori error estimates, electro-magneto statics, mixed boundary conditions