A review of trimming in isogeometric analysis: challenges, data exchange and simulation aspects

B Marussig, TJR Hughes - Archives of computational methods in …, 2018 - Springer
We review the treatment of trimmed geometries in the context of design, data exchange, and
computational simulation. Such models are omnipresent in current engineering modeling …

Basic error estimates for elliptic problems

PG Ciarlet - 1991 - Elsevier
Introduction 23 1. Abstract minimization problems, variational inequalities and the Lax-
Milgram lemma 24 2. The Sobolev spaces H (Q2) and Green's formulae 30 3. Examples of …

[图书][B] Finite elements II

A Ern, JL Guermond - 2021 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …

[图书][B] Finite element methods for incompressible flow problems

V John - 2016 - Springer
Incompressible flow problems appear in many models of physical processes and
applications. Their numerical simulation requires in particular a spatial discretization. Finite …

[图书][B] Spectral methods: algorithms, analysis and applications

J Shen, T Tang, LL Wang - 2011 - books.google.com
Along with finite differences and finite elements, spectral methods are one of the three main
methodologies for solving partial differential equations on computers. This book provides a …

[图书][B] Mathematical aspects of discontinuous Galerkin methods

DA Di Pietro, A Ern - 2011 - books.google.com
This book introduces the basic ideas to build discontinuous Galerkin methods and, at the
same time, incorporates several recent mathematical developments. The presentation is to a …

Phase field modeling of fracture in multi-physics problems. Part III. Crack driving forces in hydro-poro-elasticity and hydraulic fracturing of fluid-saturated porous media

C Miehe, S Mauthe - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
The prediction of fluid-and moisture-driven crack propagation in deforming porous media
has achieved increasing interest in recent years, in particular with regard to the modeling of …

[图书][B] The mathematical theory of finite element methods

SC Brenner - 2008 - Springer
Untitled Page 1 Page 2 15 Texts in Applied Mathematics Editors JE Marsden L. Sirovich SS
Antman Advisors G. Iooss P. Holmes D. Barkley M. Dellnitz P. Newton Page 3 Texts in Applied …

[图书][B] The finite element method set

OC Zienkiewicz, RL Taylor - 2005 - books.google.com
The sixth editions of these seminal books deliver the most up to date and comprehensive
reference yet on the finite element method for all engineers and mathematicians. Renowned …

[图书][B] Finite element methods for Navier-Stokes equations: theory and algorithms

V Girault, PA Raviart - 2012 - books.google.com
The material covered by this book has been taught by one of the authors in a post-graduate
course on Numerical Analysis at the University Pierre et Marie Curie of Paris. It is an …