Serge Nicaise

Orcid: 0000-0003-3673-3495

According to our database1, Serge Nicaise authored at least 60 papers between 1996 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
On the finite element approximation of the obstacle problem of a Naghdi shell.
J. Comput. Appl. Math., May, 2024

Stability analysis of quasilinear systems on time scale based on a new estimation of the upper bound of the time scale matrix exponential function.
J. Frankl. Inst., 2024

2023
An Analysis of High-Frequency Helmholtz Problems in Domains with Conical Points and Their Finite Element Discretisation.
Comput. Methods Appl. Math., October, 2023

Goal-oriented error estimation based on equilibrated flux and potential reconstruction for the approximation of elliptic and parabolic problems.
Comput. Math. Appl., September, 2023

2022
Stability results of locally coupled wave equations with local Kelvin-Voigt damping: Cases when the supports of damping and coupling coefficients are disjoint.
Comput. Appl. Math., September, 2022

2021
A Priori Analysis of an Anisotropic Finite Element Method for Elliptic Equations in Polyhedral Domains.
Comput. Methods Appl. Math., 2021

2020
Same decay rate of second order evolution equations with or without delay.
Syst. Control. Lett., 2020

Stability and asymptotic properties of a linearized hydrodynamic medium model for dispersive media in nanophotonics.
Comput. Math. Appl., 2020

2019
Regularity of the solution of the scalar Signorini problem in polygonal domains.
CoRR, 2019

Two guaranteed equilibrated error estimators for Harmonic formulations in eddy current problems.
Comput. Math. Appl., 2019

About the gauge conditions arising in Finite Element magnetostatic problems.
Comput. Math. Appl., 2019

2018
Finite Element Approximation of Electromagnetic Fields Using Nonfitting Meshes for Geophysics.
SIAM J. Numer. Anal., 2018

Regularity and a priori error analysis on anisotropic meshes of a Dirichlet problem in polyhedral domains.
Numerische Mathematik, 2018

On the consensus tracking investigation for multi-agent systems on time scale via matrix-valued Lyapunov functions.
Autom., 2018

2017
Adapted Numerical Methods for the Poisson Equation with L<sup>2</sup> Boundary Data in NonConvex Domains.
SIAM J. Numer. Anal., 2017

A mixed discontinuous finite element method for folded Naghdi's shell in Cartesian coordinates.
Math. Comput., 2017

2016
The BEM with graded meshes for the electric field integral equation on polyhedral surfaces.
Numerische Mathematik, 2016

A priori error analysis of the BEM with graded meshes for the electric field integral equation on polyhedral surfaces.
Comput. Math. Appl., 2016

2015
The Multidimensional Wave Equation with Generalized Acoustic Boundary Conditions II: Polynomial Stability.
SIAM J. Control. Optim., 2015

The Multidimensional Wave Equation with Generalized Acoustic Boundary Conditions I: Strong Stability.
SIAM J. Control. Optim., 2015

Stability of an abstract-wave equation with delay and a Kelvin-Voigt damping.
Asymptot. Anal., 2015

2014
Stabilization of second-order evolution equations with time delay.
Math. Control. Signals Syst., 2014

On Two Optimal Control Problems for Magnetic Fields.
Comput. Methods Appl. Math., 2014

Space-Time Residual-Based A Posteriori Estimators for the A-ϕ Magnetodynamic Formulation of the Maxwell System.
Comput. Methods Appl. Math., 2014

Weighted analytic regularity in polyhedra.
Comput. Math. Appl., 2014

2013
Robust residual a posteriori error estimators for the Reissner-Mindlin eigenvalues system.
J. Num. Math., 2013

Robust Approximation of Singularly Perturbed Delay Differential Equations by the hp Finite Element Method.
Comput. Methods Appl. Math., 2013

On the asymptotic behavior of transmission thin shell problems.
Asymptot. Anal., 2013

Stabilization by switching time-delay.
Asymptot. Anal., 2013

2012
Stabilization and asymptotic behavior of dispersive medium models.
Syst. Control. Lett., 2012

2011
A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients.
J. Comput. Appl. Math., 2011

A posteriori error estimation of residual type for anisotropic diffusion-convection-reaction problems.
J. Comput. Appl. Math., 2011

Exponential stability of second-order evolution equations with structural damping and dynamic boundary delay feedback.
IMA J. Math. Control. Inf., 2011

Optimal control of the Stokes equations: conforming and non-conforming finite element methods under reduced regularity.
Comput. Optim. Appl., 2011

Stabilization of a piezoelectric system.
Asymptot. Anal., 2011

2010
Stabilization of Second Order Evolution Equations with Unbounded Feedback with Time-Dependent Delay.
SIAM J. Control. Optim., 2010

Feedback boundary stabilization of wave equations with interior delay.
Syst. Control. Lett., 2010

A Posteriori Error Estimation for a Finite Volume Discretization on Anisotropic Meshes.
J. Sci. Comput., 2010

A posteriori error estimator based on gradient recovery by averaging for discontinuous Galerkin methods.
J. Comput. Appl. Math., 2010

A Posteriori Error Estimators Based on Equilibrated Fluxes.
Comput. Methods Appl. Math., 2010

Quasi exponential decay of a finite difference space discretization of the 1-d wave equation by pointwise interior stabilization.
Adv. Comput. Math., 2010

2009
Finite element methods for a singularly perturbed transmission problem.
J. Num. Math., 2009

2008
On the Interpolation Error Estimates for Q<sub>1</sub> Quadrilateral Finite Elements.
SIAM J. Numer. Anal., 2008

Asymptotic analysis of a simple model of fluid-structure interaction.
Networks Heterog. Media, 2008

2007
Stabilization of the wave equation on 1-d networks with a delay term in the nodal feedbacks.
Networks Heterog. Media, 2007

<i>A posteriori</i> error estimates for a nonconforming finite element discretization of the time-dependent Stokes problem, II: Analysis of the spatial estimator.
J. Num. Math., 2007

<i>A posteriori</i> error estimates for a nonconforming finite element discretization of the time-dependent Stokes problem.
J. Num. Math., 2007

2006
A Posteriori Error Estimations of Some Cell Centered Finite Volume Methods for Diffusion-Convection-Reaction Problems.
SIAM J. Numer. Anal., 2006

Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks.
SIAM J. Control. Optim., 2006

Stabilization of the wave equation with variable coefficients and boundary condition of memory type.
Asymptot. Anal., 2006

2005
A posteriori error estimations of some cell-centered finite volume methods.
SIAM J. Numer. Anal., 2005

Existence, Uniqueness, and Regularity Results for Piezoelectric Systems.
SIAM J. Math. Anal., 2005

A posteriori error estimations of residual type for Signorini's problem.
Numerische Mathematik, 2005

2004
Some refined finite volume element methods for the Stokes and Navier-Stokes systems with corner singularities.
J. Num. Math., 2004

2001
Edge Elements on Anisotropic Meshes and Approximation of the Maxwell Equations.
SIAM J. Numer. Anal., 2001

Prewavelet analysis of the heat equation.
Numerische Mathematik, 2001

Crouzeix-Raviart type finite elements on anisotropic meshes.
Numerische Mathematik, 2001

2000
Exact Boundary Controllability of Maxwell's Equations in Heterogeneous Media and an Application to an Inverse Source Problem.
SIAM J. Control. Optim., 2000

A mixed formulation of Boussinesq equations: Analysis of nonsingular solutions.
Math. Comput., 2000

1996
Modeling, Analysis and Control of Dynamic Elastic Multi-Link Structures (J. E. Lagnese, G. Leugeuring, and E. J. P. G. Schmidt. Birkhauser).
SIAM Rev., 1996


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