In this work, the triple convolution of Daubechies wavelet is used to solve the three dimensional (3D) microscale Dual Phase Lag (DPL) problem. Also, numerical solution of 3D time-dependent initial-boundary value problems of a microscopic heat equation is presented. To generate a 3D wavelet we used the triple convolution of a one dimensional wavelet. Using convolution we get a scaling function ...

This work is devoted to a study and summary of different Infinite Element (IE) formulations for Helmholtz problems in arbitrary exterior domains. The theoretical setting for each of the different formulations is presented and related to the mathematical existence theory. The influences of a bilinear or a sesquilinear formulation are discussed as well as possible extensions to other elements. Th...

This paper presents a methodology to obtain transitional objects’ shapes by a physics-based simulation. Given two 2D/3D images of different objects or of the same object at different instants, using the Finite Element Method two models are built, and the Lagrange’s equation is solved to simulate the involved deformation. We used and compared two different finite elements to build each objects’ ...

This paper presents a new super-element with twelve degrees of freedom for latticed columns. This elements is developed such that it behaves, with an acceptable approximation, in the same manner as a reference model does. The reference model is constructed by using many Solid elements. The cross section area, moments of inertia, shear coefficient and torsoinal rigidity of the developed new elem...

Rheological object, such as various food products and biological tissues, has both elastic and plastic properties. Modeling of rheological object has not been studied frequently comparing with the modeling of elastic one. Our previously developed FE models of rheological objects were based on triangular or tetrahedra finite elements. In this paper, the FE model of rheological object formulated ...

This paper presents a new super-element with twelve degrees of freedom for latticed columns. This elements is developed such that it behaves, with an acceptable approximation, in the same manner as a reference model does. The reference model is constructed by using many Solid elements. The cross section area, moments of inertia, shear coefficient and torsoinal rigidity of the developed new elem...