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Tonatiuh Sanchez-Vizuet
Member of the Graduate Faculty | Assistant Professor, Mathematics
Mathematics
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Overview
Research
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Grants
(1)
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Publications
(24)
Recent
Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem
2024
monte carlo methods,
grad-shafranov,
multilevel methods,
free boundary problem,
numerical analysis
A boundary integral equation formulation for transient electromagnetic transmission problems on Lipschitz domains
2024
transient problems,
formulation
Boundary-field formulation for transient electromagnetic scattering by dielectric scatterers and coated conductors
2024
electromagnetic scattering,
dielectric materials,
boundary-field formulation
A Boundary-Field Formulation for Elastodynamic Scattering
2023
boundary-field formulation,
elastodynamic scattering
High Performance Equilibrium Solvers for Integrated Magnetic Fusion Simulations
2022
magnetic fusion,
equilibrium solvers,
high performance computing,
integrated simulations,
plasma physics
Afternote to “Coupling at a Distance”: Convergence Analysis and A Priori Error Estimates
2022
numerical analysis,
convergence,
error estimates,
mathematical modeling,
computational physics
Time-Dependent Wave-Structure Interaction Revisited: Thermo-Piezoelectric Scatterers
2021
wave-structure interaction,
thermo-piezoelectric materials,
time-dependent systems,
wave scattering,
thermo-mechanical coupling
A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems
2021
numerical methods,
error analysis,
elliptic problems,
high-order methods,
finite element method
Boundary Integral Formulations for Transient Linear Thermoelasticity with Combined-Type Boundary Conditions
2021
Surrogate Approximation of the Grad-Shafranov Free Boundary Problem via Stochastic Collocation on Sparse Grids
2021
surrogate approximation,
free boundary problem,
stochastic collocation,
sparse grids,
grad-shafranov
