Manuel Solano

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All published works

Action	Title	Year	Authors
+	A strong mass conservative finite element method for the Navier–Stokes/Darcy coupled system	2025	Jessika Camaño Ricardo Oyarzúa Miguel Serón Manuel Solano
+	An unfitted HDG method for a distributed optimal control problem	2023	Esteban Henríquez Manuel Solano
+ PDF Chat	A high order unfitted hybridizable discontinuous Galerkin method for linear elasticity	2023	Juan Manuel Fernández‐Cárdenas Manuel Solano
+ PDF Chat	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 high order unfitted hybridizable discontinuous Galerkin method for linear elasticity	2022	Juan M. Cardenas Manuel Solano
+ 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
+	Error analysis of an unfitted HDG method for a class of non-linear elliptic problems	2021	Nestor Sánchez Tonatiuh Sánchez-Vizuet Manuel Solano
+ PDF Chat	Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model	2020	Ricardo Oyarzúa Sander Rhebergen Manuel Solano Paulo Zúñiga
+ PDF Chat	Adaptive Hybridizable Discontinuous Galerkin discretization of the Grad–Shafranov equation by extension from polygonal subdomains	2020	Tonatiuh Sánchez-Vizuet Manuel Solano Antoine Cerfon
+	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 Chat	An anisotropic a priori error analysis for a convection-dominated diffusion problem using the HDG method	2018	Rommel Bustinza Ariel L. Lombardi Manuel Solano
+ PDF Chat	A Hybridizable Discontinuous Galerkin solver for the Grad–Shafranov equation	2018	Tonatiuh Sánchez-Vizuet Manuel Solano
+	Analysis of an adaptive HDG method for the Brinkman problem	2018	Rodolfo Araya Manuel Solano Patrick Vega
+ PDF Chat	A Superconvergent HDG Method for the Maxwell Equations	2016	Huangxin Chen Weifeng Qiu Ke Shi Manuel Solano
+ PDF Chat	A High Order HDG Method for Curved-Interface Problems Via Approximations from Straight Triangulations	2016	Weifeng Qiu Manuel Solano Patrick Vega
+	High order approximation of mixed boundary value problems in curved domains by extensions from polygonal subdomains	2015	Weifeng Qiu Manuel Solano
+	A high order HDG method for curved-interface problems via approximations from straight triangulations	2015	Weifeng Qiu Manuel Solano Patrick Vega
+	A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity	2013	Bernardo Cockburn Weifeng Qiu Manuel Solano

Common Coauthors

Coauthor	Papers Together
Tonatiuh Sánchez-Vizuet	9
Nestor Sánchez	7
Weifeng Qiu	5
Patrick Vega	3
Ricardo Oyarzúa	2
Huangxin Chen	1
Miguel Serón	1
Antoine Cerfon	1
Juan Manuel Fernández‐Cárdenas	1
Rommel Bustinza	1
Bernardo Cockburn	1
Esteban Henríquez	1
Juan M. Cardenas	1
Ke Shi	1
Ariel L. Lombardi	1
Rodolfo Araya	1
Paulo Zúñiga	1
Sander Rhebergen	1
Jessika Camaño	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A projection-based error analysis of HDG methods	2010	Bernardo Cockburn Jay Gopalakrishnan Francisco-Javier Sayas	13
+	A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity	2013	Bernardo Cockburn Weifeng Qiu Manuel Solano	10
+ PDF Chat	A Hybridizable Discontinuous Galerkin solver for the Grad–Shafranov equation	2018	Tonatiuh Sánchez-Vizuet Manuel Solano	6
+ PDF Chat	Adaptive Hybridizable Discontinuous Galerkin discretization of the Grad–Shafranov equation by extension from polygonal subdomains	2020	Tonatiuh Sánchez-Vizuet Manuel Solano Antoine Cerfon	5
+ PDF Chat	Superconvergent discontinuous Galerkin methods for second-order elliptic problems	2008	Bernardo Cockburn Johnny Guzmán Haiying Wang	5
+	An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection–diffusion equations	2009	Ngoc Cuong Nguyen J. Peraire Bernardo Cockburn	3
+ PDF Chat	A High Order HDG Method for Curved-Interface Problems Via Approximations from Straight Triangulations	2016	Weifeng Qiu Manuel Solano Patrick Vega	3
+ PDF Chat	Interpolatory HDG Method for Parabolic Semilinear PDEs	2019	Bernardo Cockburn John R. Singler Yangwen Zhang	3
+ PDF Chat	An analysis of HDG methods for convection-dominated diffusion problems	2014	Guosheng Fu Weifeng Qiu Wujun Zhang	3
+ PDF Chat	Axialsymmetrische magnetohydrodynamische Gleichgewichtskonfigurationen	1957	R. Lüst A. Schlüter	3
+	A posteriori error estimators for convection-diffusion equations	1998	R. Verfürth	3
+	An a posteriori error estimate for the variable-degree Raviart-Thomas method	2013	Bernardo Cockburn Wujun Zhang	3
+	An implicit high-order hybridizable discontinuous Galerkin method for linear convection–diffusion equations	2009	Ngoc Cuong Nguyen J. Peraire Bernardo Cockburn	3
+ PDF Chat	A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems	2008	Bernardo Cockburn Bo Dong Johnny Guzmán	3
+	Displacement and Equilibrium Models in the Finite Element Method	1980	B. M. Fraeijs de Veubeke	2
+	A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems	2009	Bernardo Cockburn Bo Dong Johnny Guzmán M. Restelli Riccardo Sacco	2
+	$L^2 $ Estimates for Galerkin Methods for Semilinear Elliptic Equations	1987	Evans M. Harrell William Layton	2
+ PDF Chat	Iterative Procedures for Nonlinear Integral Equations	1965	Donald G. Anderson	2
+	Anderson Acceleration for Fixed-Point Iterations	2011	Homer F. Walker Peng Ni	2
+ 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	2
+ PDF Chat	Fully Adaptive Newton--Galerkin Methods for Semilinear Elliptic Partial Differential Equations	2015	Mario Amrein Thomas P. Wihler	2
+ 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	2
+	An $hp$-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems	2018	Paul Houston Thomas P. Wihler	2
+	Robust a Posteriori Error Estimates for HDG method for Convection-Diffusion Equations	2014	Huangxin Chen Jingzhi Li Weifeng Qiu	2
+	Adaptive iterative linearization Galerkin methods for nonlinear problems	2020	Pascal Heid 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	A fast, high-order solver for the Grad–Shafranov equation	2013	Andras Pataki Antoine Cerfon J. P. Freidberg Leslie Greengard Michael O’Neil	2
+ PDF Chat	Reduction of stiffness and mass matrices	1965	R. J. Guyan	2
+	Convergence Analysis for Anderson Acceleration	2015	Alex Toth C. T. Kelley	2
+ PDF Chat	ECOM: A fast and accurate solver for toroidal axisymmetric MHD equilibria	2015	Jungpyo Lee Antoine Cerfon	2
+ PDF Chat	The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems	1998	Bernardo Cockburn Chi‐Wang Shu	2
+	Mixed and Hybrid Finite Element Methods	2011	Franco Brezzi Michel Fortin	2
+ PDF Chat	An Analysis of the Minimal Dissipation Local Discontinuous Galerkin Method for Convection–Diffusion Problems	2007	Bernardo Cockburn Bo Dong	2
+ PDF Chat	Robust<i>a posteriori</i>error estimates for HDG method for convection–diffusion equations	2015	Huangxin Chen Jingzhi Li Weifeng Qiu	2
+	Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations	2016	Ayçıl Çeşmeli̇oğlu Bernardo Cockburn Weifeng Qiu	2
+ PDF Chat	Uniform convergence of the LDG method for a singularly perturbed problem with the exponential boundary layer	2013	Huiqing Zhu Zhimin Zhang	1
+	On the approximation of singular source terms in differential equations	1999	Johan Wald�n	1
+	An Introduction to the Approximation of Functions	1970	Joseph W. Jerome T. J. Rivlin	1
+ PDF Chat	Algorithm 950	2015	Péter Wittek	1
+ PDF Chat	A strongly conservative finite element method for the coupling of Stokes and Darcy flow	2010	Guido Kanschat Béatrice Rivière	1
+ PDF Chat	An Absolutely Stable Discontinuous Galerkin Method for the Indefinite Time-Harmonic Maxwell Equations with Large Wave Number	2014	Xiaobing Feng Haijun Wu	1
+	Convergence of Adaptive Discontinuous Galerkin Approximations of Second‐Order Elliptic Problems	2007	Ohannes A. Karakashian Frédéric Pascal	1
+ PDF Chat	Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation	2013	Bernardo Cockburn Vincent Quenneville-Bélair	1
+	The Theory of Hydromagnetic Stability of Toroidal Plasma Configurations	1968	L. S. Solov’ev	1
+ PDF Chat	Finite element methods for Maxwell’s equations	2020	Peter Monk Yangwen Zhang	1
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	1
+ PDF Chat	An Equilibrated A Posteriori Error Estimator for the Interior Penalty Discontinuous Galerkin Method	2014	Dietrich Braess Thomas Fraunholz Ronald H. W. Hoppe	1
+	Regularity estimates for solutions of the equations of linear elasticity in convex plane polygonal domains	2003	Constantin Bǎcuţǎ James H. Bramble	1
+ PDF Chat	An Analysis of the Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems	2009	Bernardo Cockburn Johnny Guzmán See-Chew Soon Henry K. Stolarski	1
+	A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations	2004	Wenbin Liu Heping Ma Tao Tang Ningning Yan	1