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International Journal of Computer Mathematics Volume 85, 2008 - Issue 3-4: Recent Advances in Computational and Applied Mathematics in Science and Engineering
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Original Articles

A posteriori error estimator and indicator in generalized finite differences. Application to improve the approximated solution of elliptic PDEs

J. J. Benito Departamento de Construcción y fabricación, Universidad Nacional de Educación a Distancia, SpainCorrespondence[email protected]
,
F. Urena Departamento de Matemática Aplicada, Universidad de Castilla-La Mancha, Spain
,
L. Gavete Departamento de Matemática Aplicada a los Recursos Naturales, Universidad politécnica de Madrid, Spain
&
B. Alonso Departamento de Matemática Aplicada a los Recursos Naturales, Universidad politécnica de Madrid, Spain
Pages 359-370 | Received 17 Oct 2006, Accepted 10 Dec 2006, Published online: 22 Sep 2010

Citations (11)

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Read on this site (3)

Luis Gavete, Francisco Ureña, Juan José Benito & María Lucía Gavete. (2012) Modelling of the advection–diffusion equation with a meshless method without numerical diffusion. International Journal of Computer Mathematics 89:3, pages 377-389.
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Francisco Ureña, Eduardo Salete, J. J. Benito & Luis Gavete. (2012) Solving third- and fourth-order partial differential equations using GFDM: application to solve problems of plates. International Journal of Computer Mathematics 89:3, pages 366-376.
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L. Chen, G. Y. Zhang, J. Zhang, T. Nguyen-Thoi & Q. Tang. (2011) An adaptive edge-based smoothed point interpolation method for mechanics problems. International Journal of Computer Mathematics 88:11, pages 2379-2402.
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Articles from other publishers (8)

Tailang Dong & Yuhong Cui. (2023) Node's residual descent method for linear elastic boundary value problems. Engineering Analysis with Boundary Elements 155, pages 407-424.
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Thibault Jacquemin, Pratik Suchde & Stéphane P.A. Bordas. (2023) Smart Cloud Collocation: Geometry-Aware Adaptivity Directly From CAD. Computer-Aided Design 154, pages 103409.
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Augusto C. Albuquerque‐Ferreira, Miguel Ureña & Higinio Ramos. (2021) A strategy to avoid ill‐conditioned stars in the generalized finite difference method for solving one‐dimensional problems. Computational and Mathematical Methods 3:6.
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A.C. Albuquerque-Ferreira, Miguel Ureña & Higinio Ramos. (2021) The generalized finite difference method with third- and fourth-order approximations and treatment of ill-conditioned stars. Engineering Analysis with Boundary Elements 127, pages 29-39.
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Luis Gavete, Francisco Ureña, Juan Jose Benito, Miguel Ureña & Maria Lucia Gavete. (2018) Solving Elliptical Equations in 3D by Means of an Adaptive Refinement in Generalized Finite Differences. Mathematical Problems in Engineering 2018, pages 1-14.
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Luis Gavete, María Lucía Gavete, Francisco Ureña & Juan José Benito. (2015) An Approach to Refinement of Irregular Clouds of Points Using Generalized Finite Differences. Mathematical Problems in Engineering 2015, pages 1-9.
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Francisco Ureña, Juan José Benito, Eduardo Salete & Luis Gavete. (2012) A note on the application of the generalized finite difference method to seismic wave propagation in 2D. Journal of Computational and Applied Mathematics 236:12, pages 3016-3025.
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Francisco Ureña Prieto, Juan José Benito Muñoz & Luis Gavete Corvinos. (2011) Application of the generalized finite difference method to solve the advection–diffusion equation. Journal of Computational and Applied Mathematics 235:7, pages 1849-1855.
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