In this paper, a spectral collocation approach based on the rational Chebyshev functions for solving the axisymmetric stagnation point flow on an infinite stationary circular cylinder is suggested. The Navier-Stokes equations which govern the flow, are changed to a boundary value problem with a semi-infinite domain and a third-order nonlinear ordinary differential equation by applying proper si...

modelling of crack propagation by finite element method under mixed mode conditions is of prime importance in fracture mechanics. this paper describes an application of finite element method to the analysis of mixed mode crack growth in linear elastic fracture mechanics. crack growth process is simulated by an incremental crack-extension analysis based on the maximum principal stress criterion,...

A new recovery technique based on discretization corrected particle strength exchange (DC PSE) operators is developed in this paper. DC PSE an established collocation method that can be used to compute derivatives directly at nodal points, instead of by projection from Gauss points as done many finite element-based techniques. The proposed truly meshless and does not require patches elements de...

Lithium-ion batteries are typically modeled using porous electrode theory coupled with various transport and reaction mechanisms, along suitable discretization or approximations for the solid-phase diffusion equation. The equation represents main computational burden typical pseudo-2-dimensional (p2D) models since these equations in pseudo r -dimension must be solved at each point grid. This su...

We show how mixed finite element methods that satisfy the conditions of finite element exterior calculus can be used for the horizontal discretisation of dynamical cores for numerical weather prediction on pseudo-uniform grids. This family of mixed finite element methods can be thought of in the numerical weather prediction context as a generalisation of the popular polygonal C-grid finite diff...

Given a finite set E, a subset D ✓ E (viewed as a function E ! F2) is orthogonal to a given subspace F of the F2-vector space of functions E ! F2 as soon as D is orthogonal to every ✓-minimal element of F . This fails in general when E is infinite. However, we prove the above statement for the six subspaces F of the edge space of any 3-connected locally finite graph that are relevant to its hom...

A new higher order finite element method for elliptic partial differential equations on a stationary smooth surface Γ is introduced and analyzed. We assume Γ is characterized as the zero level of a level set function φ and only a finite element approximation φh (of degree k ≥ 1) of φ is known. For the discretization of the partial differential equation, finite elements (of degree m ≥ 1) on a pi...

We consider the problem of scattering of a time-harmonic acoustic incident plane wave by a sound soft convex polygon. Standard boundary or finite element methods, with a piecewise polynomial approximation space, have a computational cost that grows linearly with respect to the frequency of the incident wave. Recently ChandlerWilde and Langdon proposed a novel Galerkin boundary element method fo...

three dimensioned finite element analysis were conducted on concrete block paving. in order to verify the calculated results, an experimental case study was analyzed. good agreement was observed between the measured and the calculated results. based on the finite element analysis results and available failure models, comprehensive design charts were developed for port and industrial pavement wh...