Welcome!

I am Alexei Gazca (aka Pablo Alexei Gazca Orozco), currently a faculty member at the Mathematical Institute at Charles University in Prague. My research interests lie in general in the numerical analysis of nonlinear PDE, including in particular:

Non-Newtonian fluids and nonlinear elasticity
Minimal regularity error estimates
Nonlinear boundary conditions
A posteriori analysis via equilibrated fluxes and duality techniques

Here is my list of publications and my CV.

Update

I am looking for a PhD student to join my PRIMUS project “Numerical analysis of non-smooth partial differential equations”! More details here.

Forthcoming

6-11 Jun 2027. The next iteration of the EMS School on Mathematical Modelling, Numerical Analysis and Scientific Computing will take place in June next year in Kácov, Czechia. Mark your calendars!
20-24 Jul 2026. I am co-organising a Minisymposium (together with Lukas Renelt) titled “Energy reduction methods and adaptivity for nonlinear PDEs” at CMAM 2026 in Vienna, Austria.

News

28 Jun - 23 Jul 2026. I gave a talk on “A priori and a posteriori estimates for vectorial problems via convex duality” at Equadiff 2026, which took place in Prague, Czechia (click here for slides)
8 Jun 2026. A new preprint is up about Pressure robustness and quasioptimality of DG discretisations of non-Newtonian flows (work with Michael Růžička).
3 Jun 2026. A new preprint is up about Bregman divergences and error control via duality.
Mar 2026. Welcome to Trung Hau Hoang, who will be joining as a postdoc to work with me on minimal regularity estimates.