74 citations · 654 across the 39 of their papers we have counts for
45 papers
A reduced basis method for frictional contact problems formulated with Nitsche's method
Idrissa Niakh, Guillaume Drouet, Virginie Ehrlacher +1
We develop an efficient reduced basis method for the frictional contact problem formulated using Nitsche's method. We focus on the regime of small deformations and on Tresca fricti…
-hybrid high-order methods for biharmonic problems
Zhaonan Dong, Alexandre Ern
We devise and analyze -conforming hybrid high-order (HHO) methods to approximate biharmonic problems with either clamped or simply supported boundary conditions. -conform…
Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence
Zhaonan Dong, Alexandre Ern, Jean-Luc Guermond
We estimate best-approximation errors using vector-valued finite elements for fields with low regularity in the scale of fractional-order Sobolev spaces. By assuming additionally t…
Hybrid high-order method for singularly perturbed fourth-order problems on curved domains
Zhaonan Dong, Alexandre Ern
We propose a novel hybrid high-order method (HHO) to approximate singularly perturbed fourth-order PDEs on domains with a possibly curved boundary. The two key ideas in devising th…
Hybrid high-order methods. A primer with application to solid mechanics
Matteo Cicuttin, Alexandre Ern, Nicolas Pignet
This book is organized into eight chapters. The first three gently introduce the basic principles of hybrid high-order methods on a linear diffusion problem, the key ideas underlyi…
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation
T. Chaumont-Frelet, A. Ern, M. Vohralík
We propose a novel a posteriori error estimator for conforming finite element discretizations of two- and three-dimensional Helmholtz problems. The estimator is based on an equilib…