Haroun Meghaichi

Haroun Meghaichi

Ross Assistant Professor

Department of Mathematics

The Ohio State University

Biography

I am currently a Ross Assistant Professor in the Department of Mathematics at The Ohio State University, working under Dr. Yulong Xing. Before that, I obtained my PhD at Virginia Tech under the supervision of Dr. Slimane Adjerid and Dr. Tao Lin in May 2024.

My research in numerical analysis of PDEs and scientific computing. In particular, in the finite element method and the discontinuous Galerkin method.

Interests
  • Numerical analysis
  • Finite element method
  • Partial differential equations
Education
  • PhD in Mathematics, 2024

    Virginia Tech

  • MS in Mathematics, 2019

    Virginia Tech

  • BSc in Mathematics, 2016

    Unviersity of Science and Technology Houari Boumediene

Preprints

Recent Publications

(2024). A high order geometry conforming immersed finite element for elliptic interface problems. Computer Methods in Applied Mechanics and Engineering.

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(2024). A unified immersed finite element error analysis for one-dimensional interface problems. BIT Numerical Mathematics.

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(2023). An immersed discontinuous Galerkin method for wave propagation in acoustic elastic media. Journal of Computational Physics.

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Teaching

During my time in Virginia Tech and The Ohio State University, I have been instructor of record for the following courses:

Axioms

I am a firm believer in Federico Ardila’s axioms:

  • Mathematical potential is equally present in different groups, irrespective of geographic, demographic, and economic boundaries.

  • Everyone can have joyful, meaningful, and empowering mathematical experiences.

  • Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.

  • Every student deserves to be treated with dignity and respect.