𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Continuous Galerkin finite element methods for a forward-backward heat equation

✍ Scribed by Donald A. French


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
282 KB
Volume
15
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

✦ Synopsis


A space-time finite element method is introduced to solve a model forward-backward heat equation. The scheme uses the continuous Galerkin method for the time discretization. An error analysis for the method is presented.


📜 SIMILAR VOLUMES


Adaptive Discontinuous Galerkin Finite E
✍ Ralf Hartmann; Paul Houston 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 332 KB

In this paper a recently developed approach for the design of adaptive discontinuous Galerkin finite element methods is applied to physically relevant problems arising in inviscid compressible fluid flows governed by the Euler equations of gas dynamics. In particular, we employ (weighted) type I a p

The Boundary Element Method for the Solu
✍ H. Han; D.B. Ingham; Y. Yuan 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 384 KB

In this paper we consider the numerical solution of the one-dimensional, unsteady heat conduction equation in which Dirichlet boundary conditions are specified at two space locations and the temperature distribution at a particular time, say \(T_{0}\), is given. The temperature distribution for all

Taylor-Galerkin B-spline finite element
✍ Mohan K. Kadalbajoo; Puneet Arora 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 361 KB

## Abstract The advection‐diffusion equation has a long history as a benchmark for numerical methods. Taylor‐Galerkin methods are used together with the type of splines known as B‐splines to construct the approximation functions over the finite elements for the solution of time‐dependent advection‐