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 …
Milgram lemma 24 2. The Sobolev spaces H (Q2) and Green's formulae 30 3. Examples of …
Finite elements in computational electromagnetism
R Hiptmair - Acta Numerica, 2002 - cambridge.org
This article discusses finite element Galerkin schemes for a number of linear model
problems in electromagnetism. The finite element schemes are introduced as discrete …
problems in electromagnetism. The finite element schemes are introduced as discrete …
[KNIHA][B] Finite elements I: Approximation and interpolation
A Ern, JL Guermond - 2021 - books.google.com
This book is the first volume of a three-part textbook suitable for graduate coursework,
professional engineering and academic research. It is also appropriate for graduate flipped …
professional engineering and academic research. It is also appropriate for graduate flipped …
[KNIHA][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 …
impact of computer technology, the growing importance of computer modelling and the …
[KNIHA][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 …
went out of print and we were asked to allow a second printing. The world had evolved and …
The hybrid high-order method for polytopal meshes
Originally introduced in [146, 158], Hybrid High-Order (HHO) methods provide a framework
for the discretisation of models based on Partial Differential Equations (PDEs) with features …
for the discretisation of models based on Partial Differential Equations (PDEs) with features …
Stability analysis for the virtual element method
We analyze the virtual element methods (VEM) on a simple elliptic model problem, allowing
for more general meshes than the one typically considered in the VEM literature. For …
for more general meshes than the one typically considered in the VEM literature. For …
[KNIHA][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 …
Antman Advisors G. Iooss P. Holmes D. Barkley M. Dellnitz P. Newton Page 3 Texts in Applied …
Finite element interpolation of nonsmooth functions satisfying boundary conditions
In this paper, we propose a modified Lagrange type interpolation operator to approximate
functions in Sobolev spaces by continuous piecewise polynomials. In order to define …
functions in Sobolev spaces by continuous piecewise polynomials. In order to define …
A hybrid high-order locking-free method for linear elasticity on general meshes
DA Di Pietro, A Ern - Computer Methods in Applied Mechanics and …, 2015 - Elsevier
We devise an arbitrary-order locking-free method for linear elasticity. The method relies on a
pure-displacement (primal) formulation and leads to a symmetric, positive definite system …
pure-displacement (primal) formulation and leads to a symmetric, positive definite system …