𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Refining the submesh strategy in the two-level finite element method: application to the advection–diffusion equation

✍ Scribed by Leopoldo P. Franca; Feng-Nan Hwang

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
926 KB
Volume
39
Category
Article
ISSN
0271-2091

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We introduce a new submesh strategy for the two‐level finite element method. The numerical results show that the new submesh is able to better capture the boundary layer which is caused by the choice of bubble functions. The effect of an improved approximation of the residual free bubbles is studied for the advective–diffusive equation. Copyright © 2002 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

A two-level finite element method and it
A two-level finite element method and its application to the Helmholtz equation
✍ Leopoldo P. Franca; Antonini P. Macedo 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 260 KB 👁 2 views

A two-level ÿnite element method is introduced and its application to the Helmholtz equation is considered. The method retains the desirable features of the Galerkin method enriched with residual-free bubbles, while it is not limited to discretizations using elements with simple geometry. The method

Application of finite-element method to
Application of finite-element method to the two-dimensional Schrödinger equation
✍ Nobuyuki Sato; Suehiro Iwata 📂 Article 📅 1988 🏛 John Wiley and Sons 🌐 English ⚖ 797 KB

An algorithm to solve the two-dimensional Schrodinger equation based on the finite-element method is proposed. In our scheme, the molecular Hamiltonian with any arbitrary internal coordinate system can be solved as easily as with the Cartesian coordinate system. The efficient computer program based

Strategies for the Accurate Computation
Strategies for the Accurate Computation of Potential Derivatives in Boundary Element Method: Application to Two-Dimensional Problems
✍ Hajime Igarashi; Toshihisa Honma 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 321 KB

This paper describes two strategies for the accurate computations of polential derivalives in boundary element methods. The first method regularizes the quasi singularity in a fundamental solution by referring the potential and its derivatives at the boundary point nearest to a calculation point in