On the divergence constraint in mixed finite element methods for incompressible flows

V John, A Linke, C Merdon, M Neilan, LG Rebholz - SIAM review, 2017 - SIAM
The divergence constraint of the incompressible Navier--Stokes equations is revisited in the
mixed finite element framework. While many stable and convergent mixed elements have …

Finite element methods for incompressible viscous flow

R Glowinski - Handbook of numerical analysis, 2003 - Elsevier
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[KSIĄŻKA][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 …

[KSIĄŻKA][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 …

[KSIĄŻKA][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 …

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 …

Unified form language: A domain-specific language for weak formulations of partial differential equations

MS Alnæs, A Logg, KB Ølgaard, ME Rognes… - ACM Transactions on …, 2014 - dl.acm.org
We present the Unified Form Language (UFL), which is a domain-specific language for
representing weak formulations of partial differential equations with a view to numerical …

[KSIĄŻKA][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 …

[KSIĄŻKA][B] Robust numerical methods for singularly perturbed differential equations

HG Roos - 2008 - Springer
The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …

[KSIĄŻKA][B] High-order methods for incompressible fluid flow

MO Deville, PF Fischer, EH Mund - 2002 - books.google.com
High-order numerical methods provide an efficient approach to simulating many physical
problems. This book considers the range of mathematical, engineering, and computer …