This paper introduces a hybrid numerical technique aimed at effectively addressing two-
dimensional (2D) non-linear transient heat conduction problems, featuring temperature …

The pronounced numerical dispersions and numerical anisotropy make solutions from the
finite element model using low-order elements unreliable for the time-harmonic acoustic …

This paper presents an arbitrary order numerical approach for achieving highly accurate
solutions in transient heat conduction problems. In this framework, the arbitrary order Krylov …

The traditional finite element method (FEM) could only provide acceptable numerical
solutions for the Helmholtz equation in the relatively small wave number range due to …

The underwater acoustic wave propagation problem is an important issue in ocean
engineering field. The classical finite element approach with edge-based smoothed gradient …

This work presents a novel simulation approach to couple the meshfree radial point
interpolation method (RPIM) with the implicit direct time integration method for the transient …

This paper introduces a stable numerical framework designed to address dynamic crack
problems over long-time intervals. The initial step involves the temporal discretization of the …

In this paper, a meshless collocation method is introduced for two-dimensional (2D) and
three-dimensional (3D) transient elastodynamic problems by applying the generalized finite …

In this work, the novel quadrilateral overlapping element incorporated with the harmonic
trigonometric functions is presented to reduce the efforts in mesh division for modal analysis …

In this study, a singular boundary method (SBM) formulation is developed for the transient
coupled dynamic thermoelastic problems. Before applying the SBM, a method based on …