𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An approach combining the Ritz-Galerkin and finite difference methods

✍ Scribed by Zi-Cai Li

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
616 KB
Volume
5
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

COMBINATIONS OF THE RITZ–GALERKIN AND FI
COMBINATIONS OF THE RITZ–GALERKIN AND FINITE DIFFERENCE METHODS
✍ Z.-C. LI πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 693 KB

This paper presents six combinations of the Ritz-Galerkin method and the finite difference method for solving elliptic boundary value problems. Not only optimal convergence rates of solutions but also superconvergence rates of solution derivatives can be achieved. The non-conforming combination and

Penalty combinations of the Ritz-Galerki
Penalty combinations of the Ritz-Galerkin and finite difference methods for singularity problems
✍ Zi-Cai Li πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 694 KB

Penalty combination of the Ritz~3alerkin and finite difference methods is presented for solving elliptic boundary value problems with singularities. The superconvergence rate, O(h2-~), of solution derivatives by the combination can be achieved while using quasiuniform rectangular difference grids, w

The finite difference and localized Ritz
The finite difference and localized Ritz methods
✍ J. G. A. Croll; A. C. Walker πŸ“‚ Article πŸ“… 1971 πŸ› John Wiley and Sons 🌐 English βš– 294 KB

## Abstract The conventional central finite difference equations for the plane stress extension of flat plates are derived as a localized Ritz process. A dual differential‐variational discretization of this type enables common classification of the finite difference and finite element methods. Also

Penalty-combined approaches to the Ritz-
Penalty-combined approaches to the Ritz-Galerkin and finite element methods for singularity problems of elliptic equations
✍ Zi-Cai Li πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 885 KB

Penalty coupling techniques on an interface boundary, artificial or material, are first presented for combining the Ritz-Galerkin and finite element methods. An optimal convergence rate first is proved in the Soboiev norms. Moreover, a significant coupling strategy, L + 1 = O((1n h(), between these

Six combinations of the Ritz-Galerkin an
Six combinations of the Ritz-Galerkin and finite element methods for elliptic boundary value problems
✍ Z. C. Li; T. D. Bui πŸ“‚ Article πŸ“… 1988 πŸ› John Wiley and Sons 🌐 English βš– 724 KB

Overall comparisons are made for six efficient combinations of the Ritz-Galerkin and finite element methods for solving elliptic boundary value problems with singularities or interfaces. The comparisons are done by using theoretical analysis and numerical experiments. Significant relations among the