Results 71 to 80 of about 7,547 (205)
A Flexible Derivation Approach for the Numerical Solution of Partial Differential Equations
Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.ABSTRACT We propose a new method for the numerical solution of boundary value problems associated to partial differential equations. This method is based on standard approximation techniques, like numerical differentiation of univariate functions and curve interpolation, so it can be easily generalized to high‐dimensional problems.
Nadaniela Egidi +2 more
wiley +1 more source
An extended finite element method with smooth nodal stress [PDF]
, 2013 The enrichment formulation of double-interpolation finite element method (DFEM) is developed in this paper. DFEM is first proposed by Zheng \emph{et al} (2011) and it requires two stages of interpolation to construct the trial function.
Bordas, S. P. A. +3 more
core
Veamy: an extensible object-oriented C++ library for the virtual element method
, 2018 This paper summarizes the development of Veamy, an object-oriented C++ library for the virtual element method (VEM) on general polygonal meshes, whose modular design is focused on its extensibility.
Alvarez, Catalina +5 more
core +1 more source
Engineering Reports, Volume 7, Issue 10, October 2025.The 2D, steady, laminar forced convection of a Carreau hybrid nanofluid (MgO–Ag/water) in a modified T‐shaped cavity with two outlets and a bottom inlet is investigated numerically in current work. The cold nanofluid enters from the inlet at the bottom with Tc$$ {T}_c $$ and velocity uc$$ {u}_c $$, while the vertical L‐shaped walls (W1$$ {W}_1 $$ and ...
Inayat Ullah +5 more
wiley +1 more source
, 2004 The aim of this chapter is to provide an in-depth presentation and survey of meshfree particle methods. Several particle approximations are reviewed; the SPH method, corrected gradient methods and the moving least squares (MLS) approximation. The discrete equations are derived from a collocation scheme or a Galerkin method. Special attention is paid to
Huerta, Antonio +3 more
openaire +1 more source
Natural Sciences, Volume 5, Issue 4, October 2025.The study presented investigates the thermo‐mechanical behavior of a sandwich structure with a tetrachiral‐shaped auxetic core. The geometric configuration, unit cell architecture, and the influence of the material length scale on the effective stiffness under temperature variation are illustrated.
Mustafa Buğday
wiley +1 more source
Forces in MechanicsThis paper presents a nodal integration technique, the sub-domain stabilized conforming integration (SSCI), for the meshfree radial point interpolation method (RPIM) applied to the static and modal analysis of functionally graded material (FGM) sandwich ...
Thien Tich Truong +3 more
doaj +1 more source
Ingeniería y Ciencia, 2013 A meshfree method with diffuse derivatives and a penalty stabilization is developed. An error analysis for the approximation of the solution of a general elliptic differential equation, in several dimensions, with Neumann boundary conditions is provided ...
Mauricio Osorio, Donald French
doaj +1 more source
Simulation of Skeletal Muscles in Real-Time with Parallel Computing in GPU
Applied Sciences, 2020 Modeling and simulation of the skeletal muscles are usually solved using the Finite Element method (FEM) which, although accurate, commonly needs a complex mesh and the solution is not processed in real-time. In this work, a meshfree model that simulates
Octavio Navarro-Hinojosa +1 more
doaj +1 more source
Phase field modelling of crack propagation, branching and coalescence in rocks
, 2018 We present a phase field model (PFM) for simulating complex crack patterns including crack propagation, branching and coalescence in rock. The phase field model is implemented in COMSOL and is based on the strain decomposition for the elastic energy ...
Rabczuk, Timon +3 more
core +1 more source