𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Galerkin method for a Stefan-type problem in one space dimension

✍ Scribed by L. Jones Tarcius Doss; A. K. Pani; S. Padhy

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
258 KB
Volume
13
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

✦ Synopsis

Based on a Landau-type transformation, both continuous and discrete in time L 2 -Galerkin methods are applied to a single-phase Stefan-type problem in one space dimension. Optimal rates of convergence in L 2 , L ∞ , and H 1 -norms are derived and computational results are presented.

πŸ“œ SIMILAR VOLUMES

Blow up for a class of quasilinear wave
Blow up for a class of quasilinear wave equations in one space dimension
✍ Yvan Martel πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 144 KB πŸ‘ 1 views

## For suitable and F, we prove that all classical solutions of the quasilinear wave equation RR !( ( V )) V "F(), with initial data of compact support, develop singularities in "nite time. The assumptions on and F include in particular the model case O>, for q\*2, and "$1. The starting point of

A Gauss–Galerkin finite-difference metho
A Gauss–Galerkin finite-difference method for singular partial differential equations in two space variables
✍ Liying Huang; David H. Y. Yen πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 251 KB πŸ‘ 1 views

A Gauss-Galerkin finite-difference method is proposed for the numerical solution of a class of linear, singular parabolic partial differential equations in two space dimensions. The method generalizes a Gauss-Galerkin method previously used for treating similar singular parabolic partial differentia

Difference methods of order two and four
Difference methods of order two and four for systems of mildly nonlinear biharmonic problems of the second kind in two space dimensions
✍ R. K. Mohanty; P. K. Pandey πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 428 KB πŸ‘ 2 views

In this article, we report two sets of finite difference methods of order two and four over a rectangular domain for the efficient numerical integration of the system of two-dimensional nonlinear elliptic biharmonic problems of the second kind. Second-order derivatives of the solutions are obtained

The pilot method: A strategy for heurist
The pilot method: A strategy for heuristic repetition with application to the Steiner problem in graphs
✍ Duin, Cees; VoοΏ½, Stefan πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 140 KB πŸ‘ 2 views

As a metaheuristic to obtain solutions of enhanced quality, we formulate the so-called pilot method. It is a tempered greedy method that is to avoid the greedy trap by looking ahead for each possible choice (memorizing the best result). Repeatedly, a so-called master solution is modified, each time