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Profile
Tonatiuh Sanchez-Vizuet
Member of the Graduate Faculty | Assistant Professor, Mathematics
Mathematics
Full Page
Overview
Research
More
Grants
(1)
LEAPS-MPS: Hybridizable Discontinuous Galerkin Methods for Non-Linear Integro-Differential Boundary Value Problems in Magnetic Plasma Confinement
Active
·
2021
·
$250K
·
External
Principal Investigator (PI)
hybridizable discontinuous galerkin methods,
non-linear integro-differential,
magnetic plasma confinement,
boundary value problems,
leaps-mps
Publications
(24)
Recent
A boundary integral equation formulation for transient electromagnetic transmission problems on Lipschitz domains
2024
transient problems,
formulation
Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem
2024
monte carlo methods,
grad-shafranov,
multilevel methods,
free boundary problem,
numerical analysis
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,
formulation,
elastodynamics,
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
Boundary Integral Formulations for Transient Linear Thermoelasticity with Combined-Type Boundary Conditions
2021
Error analysis of an unfitted HDG method for a class of non-linear elliptic problems
2021
numerical methods,
error analysis,
non-linear problems,
elliptic equations,
finite element method
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
Time-Dependent Wave-Structure Interaction Revisited: Thermo-piezoelectric Scatterers
2021
wave-structure interaction,
thermo-piezoelectric materials,
time-dependent analysis,
scatterers,
wave interaction
