Tonatiuh Sánchez-Vizuet

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All published works

Action	Title	Year	Authors
+ PDF Chat	Surrogate-based multilevel Monte Carlo methods for uncertainty quantification in the Grad-Shafranov free boundary problem	2025	Howard C. Elman Jiaxing Liang Tonatiuh Sánchez-Vizuet
+ PDF Chat	A boundary integral equation formulation for transient electromagnetic transmission problems on Lipschitz domains	2024	Tonatiuh Sánchez-Vizuet
+ PDF Chat	Boundary-field formulation for transient electromagnetic scattering by dielectric scatterers and coated conductors	2024	George C. Hsiao Tonatiuh Sánchez-Vizuet Wolfgang L. Wendland
+ PDF Chat	Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem	2024	Howard C. Elman Jiaxing Liang Tonatiuh Sánchez-Vizuet
+	Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem	2023	Howard C. Elman Jiaxing Liang Tonatiuh Sánchez-Vizuet
+	Multilevel Monte Carlo Methods for the Grad-Shafranov Free Boundary Problem	2023	Howard C. Elman Jiaxing Liang Tonatiuh Sánchez-Vizuet
+ PDF Chat	A Boundary-Field Formulation for Elastodynamic Scattering	2022	George C. Hsiao Tonatiuh Sánchez-Vizuet Wolfgang L. Wendland
+ PDF	Afternote to “Coupling at a Distance”: Convergence Analysis and A Priori Error Estimates	2022	Nestor Sánchez Tonatiuh Sánchez-Vizuet Manuel Solano
+ PDF Chat	Error Analysis of an Unfitted HDG Method for a Class of Non-linear Elliptic Problems	2022	Nestor Sánchez Tonatiuh Sánchez-Vizuet Manuel Solano
+	Afternote to Coupling at a distance: convergence analysis and a priori error estimates	2022	Nestor Sánchez Tonatiuh Sánchez-Vizuet Manuel Solano
+	A boundary-field formulation for elastodynamic scattering	2022	George C. Hsiao Tonatiuh Sánchez-Vizuet Wolfgang L. Wendland
+ PDF	Surrogate approximation of the Grad–Shafranov free boundary problem via stochastic collocation on sparse grids	2021	Howard C. Elman Jiaxing Liang Tonatiuh Sánchez-Vizuet
+ PDF Chat	A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems	2021	Nestor Sánchez Tonatiuh Sánchez-Vizuet Manuel Solano
+	Surrogate Approximation of the Grad-Shafranov Free Boundary Problem via Stochastic Collocation on Sparse Grids	2021	Howard C. Elman Jiaxing Liang Tonatiuh Sánchez-Vizuet
+ PDF	Time-Dependent Wave-Structure Interaction Revisited: Thermo-Piezoelectric Scatterers	2021	George C. Hsiao Tonatiuh Sánchez-Vizuet
+ PDF Chat	Boundary Integral Formulations for Transient Linear Thermoelasticity with Combined-Type Boundary Conditions	2021	George C. Hsiao Tonatiuh Sánchez-Vizuet
+	Error analysis of an unfitted HDG method for a class of non-linear elliptic problems	2021	Nestor Sánchez Tonatiuh Sánchez-Vizuet Manuel Solano
+	Boundary integral formulations for transient linear thermoelasticity with combined-type boundary conditions	2020	George C. Hsiao Tonatiuh Sánchez-Vizuet
+ PDF	Adaptive Hybridizable Discontinuous Galerkin discretization of the Grad–Shafranov equation by extension from polygonal subdomains	2020	Tonatiuh Sánchez-Vizuet Manuel Solano Antoine Cerfon
+ PDF Chat	Time-Domain Boundary Integral Methods in Linear Thermoelasticity	2020	George C. Hsiao Tonatiuh Sánchez-Vizuet
+	Boundary integral formulations for transient linear thermoelasticity with combined-type boundary conditions	2020	George C. Hsiao Tonatiuh Sánchez-Vizuet
+	A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems	2019	Nestor Sánchez Tonatiuh Sánchez-Vizuet Manuel Solano
+	A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems	2019	Nestor Sánchez Tonatiuh Sánchez-Vizuet Manuel Solano
+ PDF	A Hybridizable Discontinuous Galerkin solver for the Grad–Shafranov equation	2018	Tonatiuh Sánchez-Vizuet Manuel Solano
+	The Mathematics of Cathleen Synge Morawetz	2018	Irene M. Gamba Christina Sormani Terence Tao Leslie Greengard Tonatiuh Sánchez-Vizuet Kevin R. Payne
+ PDF Chat	A time-dependent wave-thermoelastic solid interaction	2018	George C. Hsiao Tonatiuh Sánchez-Vizuet Francisco‐Javier Sayas Richard J. Weinacht
+ PDF Chat	Pseudo spectral collocation with Maxwell polynomials for kinetic equations with energy diffusion	2017	Tonatiuh Sánchez-Vizuet Antoine Cerfon
+ PDF Chat	Evolution of a semidiscrete system modeling the scattering of acoustic waves by a piezoelectric solid	2017	Thomas S. Brown Tonatiuh Sánchez-Vizuet Francisco‐Javier Sayas
+ PDF Chat	A new and improved analysis of the time domain boundary integral operators for the acoustic wave equation	2017	Matthew E. Hassell Tianyu Qiu Tonatiuh Sánchez-Vizuet Francisco‐Javier Sayas
+ PDF Chat	Symmetric Boundary-Finite Element Discretization of Time Dependent Acoustic Scattering by Elastic Obstacles with Piezoelectric Behavior	2016	Tonatiuh Sánchez-Vizuet Francisco‐Javier Sayas
+ PDF Chat	Boundary and coupled boundary–finite element methods for transient wave–structure interaction	2016	George C. Hsiao Tonatiuh Sánchez-Vizuet Francisco‐Javier Sayas
+	Integral and coupled integral-volume methods for transient problems in wave-structure interaction	2016	Tonatiuh Sánchez-Vizuet
+	A fully discrete Calderón calculus for the two-dimensional elastic wave equation	2015	Vı́ctor Domínguez Tonatiuh Sánchez-Vizuet Francisco‐Javier Sayas

Common Coauthors

Coauthor	Papers Together
George C. Hsiao	10
Manuel Solano	9
Nestor Sánchez	7
Jiaxing Liang	6
Francisco‐Javier Sayas	6
Howard C. Elman	6
Wolfgang L. Wendland	3
Antoine Cerfon	2
Christina Sormani	1
Kevin R. Payne	1
Terence Tao	1
Leslie Greengard	1
Vı́ctor Domínguez	1
Richard J. Weinacht	1
Irene M. Gamba	1
Matthew E. Hassell	1
Tianyu Qiu	1
Thomas S. Brown	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the multistep time discretization of linear\newline initial-boundary value problems and their boundary integral equations	1994	Ch. Lubich	11
+ PDF Chat	Boundary and coupled boundary–finite element methods for transient wave–structure interaction	2016	George C. Hsiao Tonatiuh Sánchez-Vizuet Francisco‐Javier Sayas	9
+ PDF	Formulation variationnelle pour le calcul de la diffraction d'une onde acoustique par une surface rigide	1986	A. Bamberger et T. Ha Duong J. C. Nedelec	7
+	Convolution quadrature and discretized operational calculus. II	1988	Christian Lubich	7
+ PDF	A projection-based error analysis of HDG methods	2010	Bernardo Cockburn Jay Gopalakrishnan Francisco Javier Sayas	6
+	Convolution quadrature and discretized operational calculus. I	1988	Christian Lubich	6
+ PDF Chat	Convolution Quadrature for Wave Simulations	2016	Matthew E. Hassell Francisco‐Javier Sayas	6
+ PDF	Axialsymmetrische magnetohydrodynamische Gleichgewichtskonfigurationen	1957	R. Lüst A. Schlüter	6
+ PDF	A fully discrete BEM–FEM scheme for transient acoustic waves	2016	Matthew E. Hassell Francisco‐Javier Sayas	5
+ PDF	A Hybridizable Discontinuous Galerkin solver for the Grad–Shafranov equation	2018	Tonatiuh Sánchez-Vizuet Manuel Solano	5
+	Retarded Potentials and Time Domain Boundary Integral Equations: A Road Map	2018	Francisco‐Javier Sayas	5
+	A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity	2013	Bernardo Cockburn Weifeng Qiu Manuel Solano	5
+ PDF Chat	A time-dependent wave-thermoelastic solid interaction	2018	George C. Hsiao Tonatiuh Sánchez-Vizuet Francisco‐Javier Sayas Richard J. Weinacht	4
+	The Uncoupling of Boundary Integral and Finite Element Methods for Nonlinear Boundary Value Problems	1995	Gabriel N. Gatica George C. Hsiao	4
+ PDF	Adaptive Hybridizable Discontinuous Galerkin discretization of the Grad–Shafranov equation by extension from polygonal subdomains	2020	Tonatiuh Sánchez-Vizuet Manuel Solano Antoine Cerfon	4
+ PDF Chat	Stable numerical coupling of exterior and interior problems for the wave equation	2014	Lehel Banjai Christian Lubich Francisco‐Javier Sayas	4
+	Boundary integral method for thermoelastic screen scattering problem in ?3	2000	Fioralba Cakoni	4
+ PDF Chat	Time‐dependent fluid‐structure interaction	2015	George C. Hsiao Francisco‐Javier Sayas Richard J. Weinacht	3
+ PDF Chat	A new and improved analysis of the time domain boundary integral operators for the acoustic wave equation	2017	Matthew E. Hassell Tianyu Qiu Tonatiuh Sánchez-Vizuet Francisco‐Javier Sayas	3
+ PDF Chat	Symmetric Boundary-Finite Element Discretization of Time Dependent Acoustic Scattering by Elastic Obstacles with Piezoelectric Behavior	2016	Tonatiuh Sánchez-Vizuet Francisco‐Javier Sayas	3
+ PDF Chat	Interpolatory HDG Method for Parabolic Semilinear PDEs	2019	Bernardo Cockburn John R. Singler Yangwen Zhang	3
+ PDF	Some properties of layer potentials and boundary integral operators for the wave equation	2013	Vı́ctor Domínguez Francisco‐Javier Sayas	3
+ PDF Chat	Time-Domain Boundary Integral Methods in Linear Thermoelasticity	2020	George C. Hsiao Tonatiuh Sánchez-Vizuet	3
+	Semigroups of Linear Operators and Applications to Partial Differential Equations	1983	A. Pazy	2
+	Modelisation de l'equilibre d'un plasma de tokamak	1999	V. Grandgirard	2
+	An inverse problem for fluid-solid interaction	2008	Johannes Elschner George C. Hsiao Andreas Rathsfeld	2
+	An $hp$-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems	2018	Paul Houston Thomas P. Wihler	2
+ PDF Chat	A mimetic spectral element solver for the Grad–Shafranov equation	2016	Artur Palha Barry Koren F. Felici	2
+ PDF Chat	Boundary Integral Solvers for an Evolutionary Exterior Stokes Problem	2015	Constantin Băcuţă Matthew E. Hassell George C. Hsiao Francisco‐Javier Sayas	2
+	A fully discrete Calderón calculus for the two-dimensional elastic wave equation	2015	Vı́ctor Domínguez Tonatiuh Sánchez-Vizuet Francisco‐Javier Sayas	2
+	Comparison of Several Algorithms for Computing Sample Means and Variances	1974	Robert F. Ling	2
+	Computation of Axisymmetric MHD Equilibria	1975	K. von Hagenow K. Lackner	2
+	Estimation of arbitrary order central statistical moments by the multilevel Monte Carlo method	2015	Claudio Bierig Alexey Chernov	2
+ PDF Chat	A fast, high-order solver for the Grad–Shafranov equation	2013	Andras Pataki Antoine Cerfon J. P. Freidberg Leslie Greengard Michael O’Neil	2
+	Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients	2011	K. A. Cliffe Michael B. Giles Robert Scheichl Aretha L. Teckentrup	2
+	None	2000	Volker Barthelmann Erich Novak Klaus Ritter	2
+	A Multi Level Monte Carlo method with control variate for elliptic PDEs with log-normal coefficients	2015	Fabio Nobile Francesco Tesei	2
+ PDF	Implementation and analysis of an adaptive multilevel Monte Carlo algorithm	2013	Håkon Hoel Erik von Schwerin Anders Szepessy Raúl Tempone	2
+	Anderson Acceleration for Fixed-Point Iterations	2011	Homer F. Walker Peng Ni	2
+	A posteriori error estimators for convection-diffusion equations	1998	R. Verfürth	2
+	Displacement and Equilibrium Models in the Finite Element Method	1980	Baudouin Fraeijs de Veubeke	2
+ PDF	ECOM: A fast and accurate solver for toroidal axisymmetric MHD equilibria	2015	Jungpyo Lee Antoine Cerfon	2
+ PDF	Mathematical and numerical modelling of piezoelectric sensors	2012	Sébastien Imperiale Patrick Joly	2
+ PDF Chat	Multilevel Monte Carlo methods	2015	Michael B. Giles	2
+	High-Order Collocation Methods for Differential Equations with Random Inputs	2005	Dongbin Xiu Jan S. Hesthaven	2
+	An a posteriori error estimate for the variable-degree Raviart-Thomas method	2013	Bernardo Cockburn Wujun Zhang	2
+ PDF Chat	Energy estimates for Galerkin semidiscretizations of time domain boundary integral equations	2012	Francisco-Javier Sayas	2
+	Periodic Integral and Pseudodifferential Equations with Numerical Approximation	2002	Jukka Saranen Gennadi Vainikko	2
+	Computation of ideal MHD equilibria	1976	K. Lackner	2
+	Convergence Analysis for Anderson Acceleration	2015	Alex Toth C. T. Kelley	2