Prestressed concrete beams are widely used in bridge engineering due to their long span,
lightweight, and good integrity. However, the grouting quality in the bellows of the beams will …

Two kinds of wavelet-based elements have been constructed to analyze the stability of
plates and shells and the static displacement of 3D elastic problems. The scaling functions …

Many important problems in physics, quantum chemistry, biology, economics, etc., are
expressed as multi-dimensional (MD) partial differential equations (PDEs) that are difficult to …

The importance of damage detection in structures has been widely recognized in
mechanical and civil engineering. A new method is proposed to detect multiple damages …

The objective of this paper is to present an alternative approach to the conventional level set
methods for solving two-dimensional moving-boundary problems known as the passive …

This paper presents exponential Atomic Basis Functions (ABF), which are called Eup (x, ω).
These functions are infinitely differentiable finite functions that unlike algebraic up (x) basis …

The traditional basis functions in numerical PDEs are mostly coordinate functions, such as
polynomial and trigonometric functions, which are computationally expensive in dealing with …

Moving boundaries are associated with the time-dependent problems where the momentary
position of boundaries needs to be determined as a function of time. The level set method …