𝔖 Bobbio Scriptorium
✦   LIBER   ✦

HIGH CONVERGENCE ORDER FINITE ELEMENTS WITH LUMPED MASS MATRIX

✍ Scribed by M. S. JENSEN


Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
470 KB
Volume
39
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis


MARY

A method for deriving hexahedral finite elements with lumped mass matrices for 3-D-problems is presented. These elements meet the theoretical conditions for high order convergence, and two numerical examples based on the 3-D scalar wave equation show that this is also the case in practice and that their accuracy is comparable to elements with consistent mass matrices.


πŸ“œ SIMILAR VOLUMES


Stability and convergence of a Galerkin-
✍ O. Pironneau; M. Tabata πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 353 KB

## Abstract A Galerkin‐characteristics finite element scheme of lumped mass type is presented for the convection–diffusion problems. Under the weakly acute triangulation hypothesis the scheme is proved to be stable and convergent in the __L__^∞^‐norm. Using the Freefem, we show 2D and 3D numerical

A mixed high-order vector finite element
✍ K. M. Gundu; M. Brio; J. V. Moloney πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 194 KB πŸ‘ 1 views

In this article we construct and analyse the performance of various combinations of high order edge elements for the transverse field component with high order node elements for the longitudinal field component. The overall efficiency and mode resolution improve dramatically with high order elements

A block preconditioned conjugate gradien
✍ Dage Sundholm πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 439 KB

The Preconditioned Conjugate Gradient algorithms (PCG) are used for solving the matrix equations arising from the Finite Element Method (FEM) with high-order element functions. A vectorizable and a non-vectorizable block preconditioner for use with the conjugate gradient method is presented. The alg