by Razin UTM | Jul 28, 2025 | FEM, news
..I’m proud to share our latest research published in Computers & Mathematics with Applications 📚: 🔗 NURBS-Divergence-Meshless (NDM) MethodA novel meshless formulation that applies the divergence theorem in NURBS parameter space to efficiently discretize...
by Razin UTM | Mar 3, 2024 | news, updates
Abstract:Â Meshless or meshfree methods (MMs) are practical and excellent numerical techniques for solving crack problems. With the inherent limitations of mesh-based methods such as the finite element method (FEM) in modeling cracks, MMs have captivated the attention...
by Razin UTM | Apr 1, 2023 | MATLAB
Radial Basis Function (RBF) The radial basis function (RBF), also known as the Radial Point Interpolation Method (RPIM), is a meshfree method used to construct an interpolated function to fit a curve. It uses a set of radial basis functions to interpolate between...
by Razin UTM | Mar 11, 2023 | MATLAB
The point interpolation method (PIM) is a meshfree method used for fitting a curve based on a set of nodal values at specified locations. The PIM uses polynomial interpolation to fit the curve, and the number of polynomial terms required increases with the number of...
by Razin UTM | Mar 8, 2023 | updates
The study proposes a new way of combining two mathematical techniques, NURBS and RBF, within the RPIM framework. NURBS are used to model the geometry of the problem domain exactly, while RPIM is used for field variables interpolation. This new approach is called...
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