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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
(21)
Recent
A boundary-field formulation for elastodynamic scattering
2023
boundary-field formulation,
elastodynamic scattering,
formulation,
elastodynamics,
scattering
Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem
2023
monte carlo methods,
grad-shafranov,
multilevel methods,
free boundary problem,
numerical analysis
Afternote to Coupling at a distance: convergence analysis and a priori error estimates
2022
coupling,
convergence analysis,
error estimates,
distance,
a priori
High Performance Equilibrium Solvers for Integrated Magnetic Fusion Simulations
2022
magnetic fusion,
equilibrium solvers,
high performance computing,
integrated simulations,
plasma 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
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
Boundary integral formulations for transient linear thermoelasticity with combined- type boundary conditions
2021
thermoelasticity,
boundary integrals,
transient analysis,
linear systems,
boundary conditions
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
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-Domain Boundary Integral Methods in Linear Thermoelasticity
2020
boundary integral methods,
thermoelasticity,
time-domain methods,
linear thermoelasticity,
numerical analysis