Abstract: Piezoelectric devices, such as piezoelectric traveling- wave rotary ultrasonic motors, have composite piezoelectric structures. A composite piezoelectric structure consists of a combination ...

SIAM Journal on Numerical Analysis, Vol. 50, No. 2 (2012), pp. 574-594 (21 pages) The coupling of the finite volume element method and the boundary element method is an interesting approach to ...

This repository contains MATLAB code that implements a 1D Finite Volume Method (FVM) for solving diffusion problems. The FVM is a numerical technique used to approximate solutions to partial ...

Finite volume methods (FVMs) represent a class of numerical techniques that are widely used in the discretisation of elliptic equations, ensuring local conservation of fluxes and often realising high ...

This repo provides code for our paper Order-lifted data inversion/retrieval method of neighbor cells to implement general high-order schemes in unstructured-mesh-based finite-volume solution framework ...

Abstract: Parabolic partial differential equation with small parameter in x direction and different small parameter in t direction is considered. This kind of problem leads to boundary layer phenomena ...

In this paper, we discuss the finite volume element method of P₁-nonconforming quadrilateral element for elliptic problems and obtain optimal error estimates for ...

A class of upwind finite volume element method based on tetrahedron partition is put forward for a nonlinear convection diffusion problem. Some techniques, such as calculus of variations, commutating ...