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07/21/2023
A reduced basis method for frictional contact problems formulated with Nitsche's method
We develop an efficient reduced basis method for the frictional contact ...
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06/14/2022
C^0-hybrid high-order methods for biharmonic problems
We devise and analyze C^0-conforming hybrid high-order (HHO) methods to ...
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01/05/2022
Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence
We estimate best-approximation errors using vector-valued finite element...
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08/18/2021
Hybrid high-order method for singularly perturbed fourth-order problems on curved domains
We propose a novel hybrid high-order method (HHO) to approximate singula...
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06/17/2021
Hybrid high-order methods. A primer with application to solid mechanics
This book is organized into eight chapters. The first three gently intro...
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05/03/2021
Artificial compressibility methods for the incompressible Navier-Stokes equations using lowest-order face-based schemes on polytopal meshes
We investigate artificial compressibility (AC) techniques for the time d...
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03/30/2021
Hybrid high-order and weak Galerkin methods for the biharmonic problem
We devise and analyze two hybrid high-order (HHO) methods for the numeri...
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01/07/2021
Quasi-static crack propagation with a Griffith criterion using a discrete element method
A variational discrete element method is applied to simulate quasi-stati...
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11/13/2020
SoftFEM: revisiting the spectral finite element approximation of elliptic operators
We propose, analyze mathematically, and study numerically a novel approa...
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08/13/2020
An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics
We propose a new explicit pseudo-energy and momentum conserving scheme f...
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05/29/2020
Stable broken H(curl) polynomial extensions and p-robust quasi-equilibrated a posteriori estimators for Maxwell's equations
We study extensions of piecewise polynomial data prescribed in a patch o...
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05/29/2020
Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron
We prove that the minimizer in the Nédélec polynomial space of some degr...
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11/02/2019
A consistent discrete element method for quasi-static and dynamic elasto-plasticity
We propose a new discrete element method supporting general polyhedral m...
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08/22/2019
Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H(div)
Given an arbitrary function in H(div), we show that the error attained b...
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07/29/2019
An adaptive stabilized finite element method based on residual minimization
We devise and analyze a new adaptive stabilized finite element method. W...
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01/14/2019
A Hybrid High-Order method for finite elastoplastic deformations within a logarithmic strain framework
We devise and evaluate numerically a Hybrid High-Order (HHO) method for ...
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04/17/2018
A Hybrid High-Order method for incremental associative plasticity with small deformations
We devise and evaluate numerically a Hybrid High-Order (HHO) method for ...
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09/12/2017