## Status:

## Personal website:

## Research groups:

## Address

University of Oxford

Andrew Wiles Building

Radcliffe Observatory Quarter

Woodstock Road

Oxford

OX2 6GG

## Recent Publications:

Numerical analysis of unsteady implicitly constituted incompressible fluids: 3-field formulation

SIAM Journal on Numerical Analysis
issue 1
volume 58
page 757-787
(20 February 2020)

An augmented Lagrangian preconditioner for implicitly-constituted non-Newtonian incompressible flow

SIAM Journal on Scientific Computing

## Research interests:

I am interested in the Numerical and Mathematical Analysis of Nonlinear Partial Differential Equations arising from Continuum Mechanics. In particular I have been looking at Finite Element approximations of equations describing fluids whose constitutive law is defined by a monotone graph. I am also interested in the development of efficient solvers for these systems that behave robustly with respect to the parameters appearing in the constitutive relation.

## Preferred address:

Pablo Alexei Gazca Orozco

Magdalen College

High Street

Oxford

OX1 4AU

## Teaching:

Since September 2019 I am a Stipendiary Lecturer in Mathematics at Wadham College, University of Oxford, where I have delivered tutorials for several undergraduate courses. Other teaching I have done at the University of Oxford:

**Hilary Term 2019**

- [Part C] Fixed Point Methods for Nonlinear PDEs (Tutor)

**Michaelmas Term 2019**

- [Part C] Functional Analytic Methods for PDEs (Tutor)

**Trinity Term 2019**

- [Part C] Fixed Point Methods for Nonlinear PDEs (Revision Classes)
- [Magdalen College and St. Edmund Hall] Linear Algebra for Computer Science & Differential Equations 1 (Revision Classes)

**Hilary Term 2019**

- [Part C] Fixed Point Methods for Nonlinear PDEs (Tutor)
- [PDE-CDT Course] Numerical Analysis and Scientific Computing (Tutor)

**Michaelmas Term 2018**

- [Part B] Viscous Flow (TA)
- [Magdalen College] Linear Algebra for Computer Science and Introduction to Complex Numbers (Tutor)

**Trinity Term 2018**

- [Magdalen and St. Hilda's Colleges] Differential Equations 1, Integral Transforms and Differential Equations 2, Linear Algebra (Revision Classes)

**Hilary Term 2018**

- [MMMSC] Further Mathematical Methods (TA)

**Michaelmas 2017**

- [Part B] Applied Partial Differential Equations (TA)
- [PDE CDT Course] Introduction to Functional Analysis and Distribution Theory
- [Magdalen College] Linear Algebra for Computer Science and Introduction to Complex Numbers (Tutor)

## Major / recent publications:

**Submitted (in review):**

*Augmented Lagrangian preconditioner for implicitly constituted incompressible flow.*(with P. E. Farrell). [ArXiv].

**Published:**

- Numerical analysis of unsteady implicitly constituted incompressible fluids: three-field formulation. (with P. E. Farrell and E. Süli). SIAM J. Numer. Anal., 58(1):757–787, 2020. [DOI].