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An adaptive hybridizable discontinuous galerkin approach for cardiac electrophysiology
(Wiley, 2018-05)
Cardiac electrophysiology simulations are numerically challenging because of the propagation of a steep electrochemical wave front and thus require discretizations with small mesh sizes to obtain accurate results. In this ...
An adaptive hybridizable discontinuous Galerkin approach for cardiac electrophysiology
(Wiley, 2018)
Cardiac electrophysiology simulations are numerically challenging because of the propagation of a steep electrochemical wave front and thus require discretizations with small mesh sizes to obtain accurate results. In this ...
A non-symmetric coupling of Boundary Elements with the Hybridizable Discontinuous Galerkin method
(2017)
We propose and analyze a new coupling procedure for the Hybridizable Discontinuous Galerkin Method with Galerkin Boundary Element Methods based on a double layer potential representation of the exterior component of the ...
Numerical Analysis & No Regrets. Special Issue Dedicated to the Memory of Francisco Javier Sayas (1968-2019)
(WALTER DE GRUYTER GMBH, 2022)
This is the preface of a special issue dedicated to the memory of Francisco Javier Sayas who passed away on April 2, 2019. The articles reflect Sayas' main research interests in the numerical analysis of partial differential ...
An unfitted hybridizable discontinuous galerkin method in shape optimization.
(Universidad de Concepción.Facultad de Ciencias Físicas y MatemáticasDepartamento de Ingeniería Matemática., 2022)
Shape optimization seeks to optimize the shape of a region where certain partial differential
equation is posed such that a functional of its solution is minimized/maximized. In this thesis we
give an introduction to ...
An anisotropic a priori error analysis for a convection-dominated diffusion problem using the HDG method
(Elsevier Science SA, 2019-03-01)
This paper deals with the a priori error analysis for a convection-dominated diffusion 2D problem, when applying the HDG method on a family of anisotropic triangulations. It is known that in this case, boundary or interior ...
Métodos de Galerkin discontinuo hibridizable adaptivos y de alto orden en mecánica de fluidos adaptive and high order hybridizable discontinuos galerkin methods in fluid mechanics
(Universidad de Concepción.Facultad de Ciencias Físicas y MatemáticasDepartamento de Ingeniería Matemática., 2018)
El objetivo de esta tesis es contribuir al desarrollo de métodos de Galerkin discontinuo hibridizables (HDG por su sigla en inglés) para resolver ecuaciones diferenciales parciales provenientes de la mecánica de fluidos. ...
Analysis of an adaptive HDG method for the Brinkman problem
(2018)
We introduce and analyze a hybridizable discontinuous Galerkin method for the gradient-velocity-pressure formulation of the Brinkman problem. We present an a priori error analysis of the method, showing optimal order of ...