Rachel Yovel
Contact
yovelr at bgu.ac.il
About me
I'm a PhD student in Ben-Gurion University s. My supervisor is Professor Eran Treister. I study numerical solvers for the Helmholtz equations: preconditioning approaches inspired by multigrid methods and saddle-point systems.
Research interests
My research lies in the broad field of PDE. Previously, I used to work in the continuous world and currently I'm focusing on numerical methods. Some of my research interests:
Numerical linear algebra
Preconditioning
Multigrid
Local Fourier Analysis
Saddle point systems
Education
M.Sc. in Mathematics, the Hebrew University, 2015
Teaching Diploma, the Hebrew university, 2014
B.Sc. in Mathematics and Physics, the Hebrew University, 2010
Publications
LFA-tuned matrix-free multigrid method for the elastic Helmholtz equation, SIAM Journal on Scientific Computing (Copper Mountain Special Issue on Iterative Methods) 2024, Rachel Yovel and Eran Treister, https://doi.org/10.1137/23M1583466, Arxiv: arXiv:2307.03242
A Hybrid shifted Laplacian and domain decomposition preconditioner for the elastic Helmholtz equation, the Journal of Computational Physics, 2023, https://doi.org/10.1016/j.jcp.2023.112622 , Arxiv: arXiv:1806.11277.
Strong convexity for harmonic functions on compact symmetric spaces, Proceeding of American Mathematical Society, Vol 150 (2022), 1613-1622, Gabor Lippner, Dan Mangoubi, Zachary McGuirk and Rachel Yovel, DOI: https://doi.org/10.1090/proc/15735, Arxiv: arXiv:2103.06904
M.Sc. thesis
Positivity properties of harmonic functions on the sphere, M.Sc. thesis, the Hebrew University of Jerusalem, 2015, Rachel Yovel, supervisor: Dan Mangubi, Online access
Talks (link for slides)
ICIAM - International conference for industrial and applied mathematics, Accelerating multigrid solvers for the Helmholtz equations, August 25 2023, Waseda University, Tokyo, Japan
AMS Special Session on Math and the Arts, Joint Mathematics Meetings, Poetry of mathematical definitions, April 9 2022, Zoom
Bilbao Analysis and PDE seminar, Positivity and convexity properties for harmonic functions on the n-sphere, February 10 2022, zoom (recorded)
Teaching
Primary instructor
A Bridge to Academic Mathematics I, A MOOC I developed in Tel-Aviv University
Advanced Infinitesimal Calculus I, The Open University, spring 2022
Infinitesimal Calculus I, The Open University, 2020-2022
Linear Algebra I, The Open University, fall 2021
Mathematics for Business – a basic course in multivariable calculus, The Hebrew University, 2020-2021
Mathematics for Bio-Medical Sciences – a pre academic course in calculus, The Hebrew University, 2017-2021
Teaching assistant
Numerical optimization and applications, Ben Gurion University, current semester
Numerical Analysis, Ben Gurion University, since 2022
Integral Calculus and Differential Equation for Electricity Engineering, Ben Gurion University, spring 2022
Calculus for Industrial Engineering and Management, Ben Gurion University, spring 2022
Introduction to Logic and Set Theory, Ben Gurion University, fall 2021
Measure Theory, Ben Gurion University, fall 2021
Infinitesimal Calculus I+II, The Reichman University (formerly known as the IDC), 2021
Linear Algebra I+II, The Reichman University (formerly known as the IDC), 2018-2020
Calculus for Business and Data Science, The Reichman University (formerly known as the IDC), 2020
Linear Algebra I for Pilots, Ben Gurion University, 2018
Math for Sciences I – a calculus course for biology students, The Hebrew University, 2016-2017
Math for Sciences II – a linear algebra course for biology students, The Hebrew University, 2016-2017
Linear Algebra I, The Hebrew University, 2015-2016
Other
In my free time, I'm also a mathematical poet. See some of my poems here.