A5043706874- Numerical methods in engineering
- Advanced Numerical Methods in Computational Mathematics
- Composite Structure Analysis and Optimization
- Fatigue and fracture mechanics
- Advanced Numerical Analysis Techniques
- Electromagnetic Simulation and Numerical Methods
- Composite Material Mechanics
- Fluid Dynamics Simulations and Interactions
- Nonlocal and gradient elasticity in micro/nano structures
- Geotechnical Engineering and Underground Structures
- Structural Analysis and Optimization
- Rock Mechanics and Modeling
- Vibration and Dynamic Analysis
- Metal Forming Simulation Techniques
- Probabilistic and Robust Engineering Design
- Structural Load-Bearing Analysis
- Topology Optimization in Engineering
- Contact Mechanics and Variational Inequalities
- Mechanical Behavior of Composites
- Computational Geometry and Mesh Generation
- Dam Engineering and Safety
- Advanced Mathematical Modeling in Engineering
- Acoustic Wave Phenomena Research
- Structural Health Monitoring Techniques
- Aeroelasticity and Vibration Control
Indian Institute of Technology Madras
2016-2025
Dong-A University
2023
Indian Institute of Science Bangalore
2012-2018
Weatherford College
2018
University of Technology Sydney
2017
Indian Institute of Technology Indore
2015
UNSW Sydney
2012-2014
Cardiff University
2009-2012
University of Glasgow
2009-2012
Bauhaus-Universität Weimar
2012
Abstract This paper presents a new numerical integration technique on arbitrary polygonal domains. The domain is mapped conformally to the unit disk using Schwarz–Christoffel mapping and midpoint quadrature rule defined this used. method eliminates need for two‐level isoparametric usually required. Moreover, positivity of Jacobian guaranteed. Numerical results presented few benchmark problems in context finite elements show that proposed yields accurate results. Copyright © 2009 John Wiley...
Abstract By using the strain smoothing technique proposed by Chen et al. ( Comput. Mech. 2000; 25 :137–156) for meshless methods in context of finite element method (FEM), Liu 2007; 39 (6):859–877) developed Smoothed FEM (SFEM). Although SFEM is not yet well understood mathematically, numerical experiments point to potentially useful features this particularly simple modification FEM. To date, has only been investigated bilinear and Wachspress approximations limited linear reproducing...
Summary The strain smoothing technique over higher order elements and arbitrary polytopes yields less accurate solutions than other techniques such as the conventional polygonal finite element method. In this work, we propose a linear scheme that improves accuracy of quadratic approximations convex polytopes. main idea is to subdivide polytope into simplicial subcells use function in each subcell compute strain. This new then used computation stiffness matrix. convergence properties proposed...
Abstract Partition of unity methods, such as the extended finite element method, allows discontinuities to be simulated independently mesh ( Int. J. Numer. Meth. Engng. 1999; 45 :601–620). This eliminates need for aligned with discontinuity or cumbersome re‐meshing, evolves. However, compute stiffness matrix elements intersected by discontinuity, a subdivision into quadrature subcells is commonly adopted. In this paper, we use simple integration technique, proposed polygonal domains Engng...