André Harnist

Inria Paris - SERENA team

About

Name André HARNIST
Role Maître de Conférences (Associate Professor)
Affiliation Université de Technologie de Compiègne (UTC)
Laboratory Laboratory of Applied Mathematics of Compiègne (LMAC)
Team Inverse problems and numerical analysis (EPIA)
Curriculum vitæ CV in english – CV en français

Contact

Email andre.harnist@utc.fr
Postal address Bâtiment Blaise Pascal
57 Avenue de Landshut CS 60319
60203 Compiègne Cedex France [Map]
Office GI 132
Social network Orcid Researchgate Linkedin Google
André Harnist

Research

Research interests Theoretical and numerical analysis of PDEs
A priori and a posteriori error estimates
Advanced PDE discretization methods
Fluid and solid mechanics

Publications

Preprints

Mar. 2023 Robust energy a posteriori estimates for nonlinear elliptic problems
André Harnist, Koondanibha Mitra, Ari Rappaport, and Martin Vohralík
Preprint [PDF]
HAL preprint hal-04033438

Articles

June 2021 A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour
Daniel Castanon Quiroz, Daniele A. Di Pietro, and André Harnist
IMA J. Numer. Anal., 2021. Published online. [PDF]
DOI 10.1093/imanum/drab087
HAL preprint hal-03273118
arXiv preprint arXiv:2106.14950
Dec. 2020 Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems
Daniele A. Di Pietro, Jérôme Droniou, and André Harnist
Calcolo 58, 19 (2021) [PDF]
DOI 10.1007/s10092-021-00410-z
HAL preprint hal-03049154
arXiv preprint arXiv:2012.05122
Mar. 2020 A Hybrid High-Order method for creeping flows of non-Newtonian fluids
Michele Botti, Daniel Castanon Quiroz, Daniele A. Di Pietro, and André Harnist
ESAIM: Math. Model. Numer. Anal., 2021, 55(5):2045–2073. [PDF]
DOI 10.1051/m2an/2021051
HAL preprint hal-02519233
arXiv preprint arXiv:2003.13467

Theses

Oct. 2021 Hybrid High-Order methods for complex problems in fluid mechanics
André Harnist
PhD thesis, University of Montpellier (2021) [PDF]
HAL theses tel-03518264

Communications

Presentations

Apr. 2023 Robust a posteriori estimates of energy differences for nonlinear elliptic problems
CMI seminar, Marseille, France
Mar. 2023 Robust a posteriori estimates of energy differences for nonlinear elliptic problems
EMA seminar, LAMPA, Université du Littoral Côte d’Opale, France
Mar. 2023 Robust a posteriori estimates of energy differences for nonlinear elliptic problems
LMAC seminar, Compiègne, France
Feb. 2023 Robust a posteriori estimates of energy differences for nonlinear elliptic problems
Applied mathematics seminar, LMJL, Nantes, France
Feb. 2023 Robust a posteriori estimates of energy differences for nonlinear elliptic problems
ANCS seminar, LmB, Besançon, France
Feb. 2023 Robust a posteriori estimates of energy differences for nonlinear elliptic problems
PDE and scientific computing working group, LMRS, Rouen, France
Feb. 2023 Robust a posteriori estimates of energy differences for nonlinear elliptic problems
DMATHS seminar, CERAMATHS, Valenciennes, France
Feb. 2023 Robust a posteriori estimates of energy differences for nonlinear elliptic problems
Numerical analysis seminar, IRMAR, Rennes, France
Dec. 2022 Hybrid High-Order methods for complex problems in fluid mechanics
POEMS 2022 Conference at Politecnico di Milano, Italy
Nov. 2022 Robust a posteriori estimates of energy differences for nonlinear elliptic problems
A3 seminar, LAMFA, Amiens, France
Sep. 2022 Hybrid High-Order methods for complex problems in fluid mechanics
9th GACM Colloquium 2022 at University of Duisburg-Essen, Germany
Oct. 2021 Hybrid High-Order methods for complex problems in fluid mechanics
ACSIOM seminar, IMAG, Montpellier, France
Sep. 2021 A HHO method for incompressible flows of non-Newtonian fluids with power-like convective behaviour
18th European Finite Element Fair, Inria, Paris, France [PDF]
July 2021 Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems
6th ECCOMAS Young Investigators Conference, Valencia, Spain – Online [PDF]
Apr. 2021 Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems
SERENA seminar, Inria, Paris, France – Online
Feb. 2021 Improved error estimates for Hybrid High-Order discretizations of Leray-Lions problems
ANZIAM Annual Conference 2021, Virtual event, Australia – Online
Jan. 2021 A Hybrid High-Order method for creeping flows of non-Newtonian fluids
Eccomas Congress 2020 & 14th WCCM, Virtual event, France – Online [PDF]
Sep. 2020 A Hybrid High-Order method for creeping flows of non-Newtonian fluids
Conference on Scientific Computing Algoritmy 2020 at Vysoke Tatry, Podbanske, Slovakia – Online
Feb. 2020 A Hybrid High-Order method for creeping flows of non-Newtonian fluids
Ph.D. students Day at IMAG, Montpellier, France

Posters

Sep. 2022 Hybrid High-Order methods for complex problems in fluid mechanics
9th GACM Colloquium 2022 at University of Duisburg-Essen, Germany [PDF]
July 2019 A Hybrid High-Order method for creeping flows of non-Newtonian fluids
Doctiss 2019 day at i2S, Montpellier, France
Apr. 2019 A Hybrid High-Order method for creeping flows of non-Newtonian fluids
POEMS 2019 Conference at CIRM, France

Teaching

2022-2023
  • Linear systems and numerical resolution (2nd year B.Sc.) at IPSA, Paris
    Person in charge: Lesson planning, Lecture, Tutorial classes, Practical work, Exams (20h)
  • Differentiable optimization with the descent method (3rd year B.Sc.) at IPSA, Paris
    Tutorial classes (24h)
  • Differentiable optimization with direct and dual methods (3rd year B.Sc.) at IPSA, Paris
    Tutorial classes (28h)
  • Mathematics and physics (1st year B.Sc.) at IPSA, Paris
    Tutorial classes (12h)
2021-2022
  • Differentiable optimization (3rd year B.Sc.) at IPSA, Paris
    Tutorial classes (32h)
  • Quadrature and numerical resolution of ODEs (3rd year B.Sc.) at IPSA, Paris
    Tutorial classes (24h)
  • Finite difference methods (3rd year B.Sc.) at IPSA, Paris
    Tutorial classes (6h)
  • Introduction to Matlab/Octave for image processing (1st year B.Sc.) at Université Sorbonne Paris Nord
    Tutorial classes (12h)
2020-2021 Mathematics of decision (3rd year B.Sc.) at Polytech Montpellier
Person in charge: Lesson planning, Lecture, Tutorial classes, Practical work, Exams (64h)
Resources
2019-2020
2018-2019

Scientific diffusion

Memory Pi game

Memory Pi is a game I created for fun on Pi Day (14th March) 2018 and which consists of quickly typing as many digits of π as possible.
The European School of Strasbourg uses it to organize contests every Pi Day since 2019:
• Pi Day 2023
• Pi Day 2022
• Pi Day 2021
• Pi Day 2020
• Pi Day 2019
The game is available online here.


Prime snake game

Prime snake is a variant of the well-known snake game that I implemented in 2023 with Megan Cook. The aim of the game is to make a snake grow by choosing the right apples: only those corresponding to a prime number will be beneficial, the others will shrink the snake. I hope in this game, to make players discover or revisit the concept of prime numbers as well as simple divisibility rules allowing to easily choose the good apple. The game is available online here.

Other

The American Mathematical Monthly

The American Mathematical Monthly is a journal in which university researchers post problems and challenge the readers to solve them. I am citing here some problems that I solved during my studies before starting my thesis which turned out to be challenging enough.

Apr. 2018 Problem 11933 [PDF] - with Megan Cook
Problem 11932 [PDF]
Gerald A. Edgar, Daniel H. Ullman & Douglas B. West (2018)
Problems and Solutions, The American Mathematical Monthly, 125:5, 466-475
DOI: 10.1080/00029890.2018.1447207
Sep. 2016 Problem 11918 [PDF]
Gerald A. Edgar, Daniel H. Ullman & Douglas B. West (2018)
Problems and Solutions, The American Mathematical Monthly, 125:3, 276-283
DOI: 10.1080/00029890.2018.1424478
Mar. 2016 Problem 11884 [PDF] - with Megan Cook
Gerald A. Edgar, Daniel H. Ullman & Douglas B. West (2017)
(2017) Problems and Solutions, The American Mathematical Monthly, 124:10, 970-978
DOI: 10.4169/amer.math.monthly.124.10.970