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Rodolfo Rodríguez
Researcher at University of Concepción
Publications - 139
Citations - 3126
Rodolfo Rodríguez is an academic researcher from University of Concepción. The author has contributed to research in topics: Finite element method & Numerical analysis. The author has an hindex of 29, co-authored 136 publications receiving 2736 citations. Previous affiliations of Rodolfo Rodríguez include University of Maryland, College Park & Chartered Institute of Management Accountants.
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An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems
TL;DR: An optimal bounded perfectly matched layer (PML) technique is introduced by choosing a particular absorbing function with unbounded integral that is easy to implement in a finite element method and overcomes the dependency of parameters for the discrete problem.
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A virtual element method for the Steklov eigenvalue problem
TL;DR: In this article, the authors developed a virtual element method for the two-dimensional Steklov eigenvalue problem under standard assumptions on the computational domain, and established that the resulting scheme provided a correct approximation of the spectrum and proved optimal-order error estimates for the eigenfunctions and a double order for the Eigenvalues.
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Finite element computation of the vibration modes of a fluid—solid system
TL;DR: In this paper, the interior elastoacoustic problem is solved by a finite element method, which does not present spurious or circulation modes for nonzero frequencies, and consists of classical triangular lagrangian elements for the solid and lowest order triangular Raviart-Thomas elements for fluid.
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A Posteriori Error Estimates for the Finite Element Approximation of Eigenvalue Problems
TL;DR: A simple proof of the equivalence, up to higher order terms, between the error and a residual type error estimator is given and it is proved that the volumetric part of the residual is dominated by a constant times the edge or face residuals.
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Some remarks on Zienkiewicz‐Zhu estimator
TL;DR: In this paper, the Zienkiewicz-Zhu estimator is analyzed for the piecewise linear finite element approximate solution of an elliptic problem and proved to be equivalent to the error for the Poisson equation with a homogeneous Dirichlet boundary condition for any triangular regular mesh.