A5017028711- Numerical methods in engineering
- Advanced Numerical Methods in Computational Mathematics
- Electromagnetic Simulation and Numerical Methods
- Geotechnical Engineering and Underground Structures
- Mathematical Biology Tumor Growth
- Electromagnetic Scattering and Analysis
- Numerical methods for differential equations
- Advanced Mathematical Modeling in Engineering
- Meteorological Phenomena and Simulations
- Numerical methods in inverse problems
- Atmospheric chemistry and aerosols
- Cancer Cells and Metastasis
- Differential Equations and Numerical Methods
- Atmospheric aerosols and clouds
- Dam Engineering and Safety
- Geotechnical Engineering and Analysis
- Fluid Dynamics Simulations and Interactions
- Seismic Imaging and Inversion Techniques
- Composite Structure Analysis and Optimization
- Iterative Methods for Nonlinear Equations
- Fractional Differential Equations Solutions
- Computational Fluid Dynamics and Aerodynamics
- Rock Mechanics and Modeling
- Elasticity and Material Modeling
- Environmental and Ecological Studies
Universidad Politécnica de Madrid
2003-2019
Técnicas y Servicios de Ingeniería (Spain)
1988-2005
National University of Distance Education
2001
Accurate imposition of essential boundary conditions is a main drawback in the use element-free Galerkin (EFG) method. A way to solve problem, constrained variational principle with penalty function. This new treatment for simple and logical works very well all numerical examples 2-D potential problems that are presented here, considering an approximation close interpolation. It shown present formulation together EFG method appropriated weighting function exhibit high accuracy stability,...
Abstract In this paper, we present a procedure to estimate the error in elliptic equations using element‐free Galerkin (EFG) method, whose evaluation is computationally simple and can be readily implemented existing EFG codes. The estimation of works very well all numerical examples for 2‐D potential problems that are presented here, regular irregular clouds points. Moreover, it was demonstrated method terms economy gives good performance. results show approximation may estimated via...
Abstract Recently, considerable effort has been devoted to the development of so‐called meshless methods. Meshless methods still require improvement before they equal prominence finite elements in computer science and engineering. One paths evolution element free Galerkin (EFG) method. In EFG method, it is obviously important that ‘ a posteriori error’ should be approximated. An approximation based on moving least‐squares method proposed, using solution, computed from The error procedure...
This paper describes a fully automatic adaptive refinement procedure performed in conjunction with the generalized finite difference method (GFDM) for solving second-order partial differential equation (PDE) frequently encountered engineering practice. A quadtree structure is used to organize clouds of points. The based on existing differences between gradients close relative error two successive adaptation processes taken as criterion stop algorithm. Using this procedure, high gradient...
The generalized finite differences method allows the use of irregular clouds nodes. optimal values key parameters vary depending on how nodes in cloud are distributed, and this can be complicated especially 3D. Therefore, we establish 2 criteria to allow automation selection process parameters. These depend discrete functions, one them penalizes distances other imbalances. In addition, show generate more efficient than finer regular We propose an improved versatile h‐adaptive that adding,...