[BOOK][B] Mixed finite element methods and applications

D Boffi, F Brezzi, M Fortin - 2013 - Springer
About 10 years ago, Mixed and Hybrid Finite Element Methods by F. Brezzi and M. Fortin
went out of print and we were asked to allow a second printing. The world had evolved and …

[BOOK][B] Domain decomposition methods-algorithms and theory

A Toselli, O Widlund - 2006 - books.google.com
This book offers a comprehensive presentation of some of the most successful and popular
domain decomposition preconditioners for finite and spectral element approximations of …

Ss antman je marsden l. sirovich

JKHPHJ Keener, JKBJMA Mielke, CSPKR Sreenivasan - 2005 - Springer
The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

[BOOK][B] Boundary integral equations

GC Hsiao, WL Wendland - 2008 - Springer
In Chapter 1 we presented basic ideas for the reduction of boundary value problems of the
Laplacian to various forms of boundary integral equations based on the direct approach …

On traces for H (curl, Ω) in Lipschitz domains

A Buffa, M Costabel, D Sheen - Journal of mathematical analysis and …, 2002 - Elsevier
We study tangential vector fields on the boundary of a bounded Lipschitz domain Ω in R 3.
Our attention is focused on the definition of suitable Hilbert spaces corresponding to …

The mathematical theory of time-harmonic Maxwell's equations

A Kirsch, F Hettlich - Applied mathematical sciences, 2015 - Springer
This book arose from lectures on Maxwell's equations given by the authors between 2007
and 2013. Graduate students from pure and applied mathematics, physics—including …

[BOOK][B] Retarded potentials and time domain boundary integral equations: A road map

FJ Sayas - 2016 - books.google.com
This book offers a thorough and self-contained exposition of the mathematics of time-domain
boundary integral equations associated to the wave equation, including applications to …

A dual finite element complex on the barycentric refinement

A Buffa, S Christiansen - Mathematics of computation, 2007 - ams.org
Given a two dimensional oriented surface equipped with a simplicial mesh, the standard
lowest order finite element spaces provide a complex $ X^\bullet $ centered on Raviart …

On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra

A Buffa, P Ciarlet Jr - Mathematical Methods in the Applied …, 2001 - Wiley Online Library
The aim of this paper is to study the tangential trace and tangential components of fields
which belong to the space H (curl, Ω), when Ω is a polyhedron with Lipschitz continuous …

[BOOK][B] Mathematical foundations of computational electromagnetism

F Assous, P Ciarlet, S Labrunie - 2018 - Springer
Our interest in the study and computation of electromagnetic fields started during the 1990s.
For Franck Assous, it originated from the need to compute precisely the motion of charged …