𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A quadrature finite element Galerkin scheme for a biharmonic problem on a rectangular polygon

✍ Scribed by Rakhim Aitbayev

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
169 KB
Volume
24
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Multilevel preconditioners for a quadrat
Multilevel preconditioners for a quadrature Galerkin solution of a biharmonic problem
✍ Rakhim Aitbayev 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 169 KB

Efficient multilevel preconditioners are developed and analyzed for the quadrature finite element Galerkin approximation of the biharmonic Dirichlet problem. The quadrature scheme is formulated using the Bogner-Fox-Schmit rectangular element and the product two-point Gaussian quadrature. The propose

A quadrature finite element method for s
A quadrature finite element method for semilinear second-order hyperbolic problems
✍ K. Mustapha; H. Mustapha 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 178 KB

## Abstract In this work we propose and analyze a fully discrete modified Crank–Nicolson finite element (CNFE) method with quadrature for solving semilinear second‐order hyperbolic initial‐boundary value problems. We prove optimal‐order convergence in both time and space for the quadrature‐modified

An operator method for a numerical quadr
An operator method for a numerical quadrature finite element method for a Maxwell-eigenvalue problem
✍ Wouter Hamelinck; Roger Van Keer 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 160 KB

## Abstract We consider a Maxwell‐eigenvalue problem on a brick. As is well known, we need to pay special attention to avoiding the so‐called spurious eigenmodes. We extend the results obtained in (__SIAM J. Numer. Anal.__ 2000; **38**:580–607) to include the use of numerical quadrature. For simpli

Derivation of a rectangular finite eleme
Derivation of a rectangular finite element for potential problems from consistency criteria
✍ Bettess, Peter ;Laghrouche, Omar 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 100 KB 👁 2 views

This short paper demonstrates how the matrix for a 4-node potential ®nite element can be derived from the conditions of `rigid body movement',{ symmetry and consistency, and the requirement that the element solve exactly the case of f xy. This derivation is intended to be a simple illustration of th