2022 |
Saucedo-Zendejo, Felix R A novel meshfree approach based on the finite pointset method for linear elasticity problems Journal Article Engineering Analysis with Boundary Elements, 136 (0), pp. 172-185, 2022, ISSN: 0955-7997. Abstract | Links | BibTeX | Etiquetas: Finite pointset method, Meshless method, Navier–Cauchy equations, Solid mechanics @article{0955-7997, title = {A novel meshfree approach based on the finite pointset method for linear elasticity problems}, author = {Felix R. Saucedo-Zendejo}, url = {https://doi.org/10.1016/j.enganabound.2021.12.011 https://www.sciencedirect.com/science/article/pii/S0955799721003647}, doi = {10.1016/j.enganabound.2021.12.011}, issn = {0955-7997}, year = {2022}, date = {2022-03-01}, journal = {Engineering Analysis with Boundary Elements}, volume = {136}, number = {0}, pages = {172-185}, abstract = {In this work a promising novel meshfree numerical formulation with improved accuracy based on the finite pointset method (FPM) is reported and implemented for the first time for linear elasticity problems. This truly meshfree approach is applied in order to solve the governing partial differential equations, the Navier–Cauchy equations. The numerical results of some 2D and 3D classical and well-known benchmark examples using this formulation are reported and compared with a previous FPM formulation which demonstrate the improvement in accuracy, and finally, the numerical solution of a three-dimensional realistic example is reported which suggest that the presented FPM approach is promising and feasible for this kind of problems in solid mechanics.}, keywords = {Finite pointset method, Meshless method, Navier–Cauchy equations, Solid mechanics}, pubstate = {published}, tppubtype = {article} } In this work a promising novel meshfree numerical formulation with improved accuracy based on the finite pointset method (FPM) is reported and implemented for the first time for linear elasticity problems. This truly meshfree approach is applied in order to solve the governing partial differential equations, the Navier–Cauchy equations. The numerical results of some 2D and 3D classical and well-known benchmark examples using this formulation are reported and compared with a previous FPM formulation which demonstrate the improvement in accuracy, and finally, the numerical solution of a three-dimensional realistic example is reported which suggest that the presented FPM approach is promising and feasible for this kind of problems in solid mechanics. |
2021 |
R.Saucedo-Zendejo, Felix A novel meshfree approach based on the finite pointset method for linear elasticity problems Journal Article Engineering Analysis with Boundary Elements, 136 , pp. 172-185, 2021, ISSN: 0955-7997. Abstract | Links | BibTeX | Etiquetas: Finite pointset method, Meshless method, Navier–Cauchy equations, Solid mechanics @article{EngineeringAnalysiswithBoundaryElements, title = {A novel meshfree approach based on the finite pointset method for linear elasticity problems}, author = {Felix R.Saucedo-Zendejo}, url = {https://doi.org/10.1016/j.enganabound.2021.12.011 https://www.sciencedirect.com/science/article/pii/S0955799721003647}, doi = {10.1016}, issn = {0955-7997}, year = {2021}, date = {2021-03-16}, journal = {Engineering Analysis with Boundary Elements}, volume = {136}, pages = {172-185}, abstract = {In this work a promising novel meshfree numerical formulation with improved accuracy based on the finite pointset method (FPM) is reported and implemented for the first time for linear elasticity problems. This truly meshfree approach is applied in order to solve the governing partial differential equations, the Navier–Cauchy equations. The numerical results of some 2D and 3D classical and well-known benchmark examples using this formulation are reported and compared with a previous FPM formulation which demonstrate the improvement in accuracy, and finally, the numerical solution of a three-dimensional realistic example is reported which suggest that the presented FPM approach is promising and feasible for this kind of problems in solid mechanics.}, keywords = {Finite pointset method, Meshless method, Navier–Cauchy equations, Solid mechanics}, pubstate = {published}, tppubtype = {article} } In this work a promising novel meshfree numerical formulation with improved accuracy based on the finite pointset method (FPM) is reported and implemented for the first time for linear elasticity problems. This truly meshfree approach is applied in order to solve the governing partial differential equations, the Navier–Cauchy equations. The numerical results of some 2D and 3D classical and well-known benchmark examples using this formulation are reported and compared with a previous FPM formulation which demonstrate the improvement in accuracy, and finally, the numerical solution of a three-dimensional realistic example is reported which suggest that the presented FPM approach is promising and feasible for this kind of problems in solid mechanics. |
2014 |
Reséndiz, E; García, I Application of the Finite Pointset Method to non-stationary Heat Conduction Problems Journal Article International Journal of Heat and Mass Transfer - ELSEVIER, 71 , pp. 720-23, 2014. Abstract | Links | BibTeX | Etiquetas: Finite pointset method, Meshless method, Non-stationary heat conduction @article{j.ijheatmasstransfer.2013.12.077, title = {Application of the Finite Pointset Method to non-stationary Heat Conduction Problems}, author = {E. Reséndiz and I. García}, url = {https://www.sciencedirect.com/science/article/abs/pii/S0017931014000106}, doi = {https://doi.org/10.1016/j.ijheatmasstransfer.2013.12.077}, year = {2014}, date = {2014-04-01}, journal = {International Journal of Heat and Mass Transfer - ELSEVIER}, volume = {71}, pages = {720-23}, abstract = {This paper proposes the use of the finite pointset method for the numerical solution of two-dimensional transient heat conduction problems. The strong formulation of the parabolic partial differential equation is directly used instead of the corresponding weak form. Moreover, a numerical comparison between the finite pointset method and the corresponding analytical solutions is reported.}, keywords = {Finite pointset method, Meshless method, Non-stationary heat conduction}, pubstate = {published}, tppubtype = {article} } This paper proposes the use of the finite pointset method for the numerical solution of two-dimensional transient heat conduction problems. The strong formulation of the parabolic partial differential equation is directly used instead of the corresponding weak form. Moreover, a numerical comparison between the finite pointset method and the corresponding analytical solutions is reported. |
Publicaciones
2022 |
A novel meshfree approach based on the finite pointset method for linear elasticity problems Journal Article Engineering Analysis with Boundary Elements, 136 (0), pp. 172-185, 2022, ISSN: 0955-7997. |
2021 |
A novel meshfree approach based on the finite pointset method for linear elasticity problems Journal Article Engineering Analysis with Boundary Elements, 136 , pp. 172-185, 2021, ISSN: 0955-7997. |
2014 |
Application of the Finite Pointset Method to non-stationary Heat Conduction Problems Journal Article International Journal of Heat and Mass Transfer - ELSEVIER, 71 , pp. 720-23, 2014. |