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Profile
Tonatiuh Sanchez-Vizuet
Member of the Graduate Faculty | Assistant Professor, Mathematics
Mathematics
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
Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem
2023
monte carlo methods,
grad-shafranov,
multilevel methods,
free boundary problem,
numerical analysis
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
coupling,
convergence analysis,
error estimates,
distance,
a priori
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
mathematical modeling,
stochastic processes,
numerical methods,
plasma physics,
approximation theory
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
thermoelasticity,
boundary integrals,
transient analysis,
linear systems,
boundary conditions
Time-Dependent Wave-Structure Interaction Revisited: Thermo-piezoelectric Scatterers
2021
wave-structure interaction,
thermo-piezoelectric materials,
time-dependent analysis,
scatterers,
wave interaction
Adaptive Hybridizable Discontinuous Galerkin discretization of the Grad–Shafranov equation by extension from polygonal subdomains
2020
adaptive discretization,
hybridizable discontinuous galerkin,
grad-shafranov equation,
polygonal subdomains,
adaptive hybridization