✦ LIBER ✦

Three and four step least squares finite element schemes in the time domain

✍ Scribed by Singh, Krishna M. ;Kalra, Manjeet S.

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 331 KB
Volume: 12
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199607)12:7<425::aid-cnm990>3.0.co;2-i

No coin nor oath required. For personal study only.

✦ Synopsis

The paper presents a formulation and analysis of three and four step least squares algorithms for first order NPs. The three step algorithm is derived using cubic Lagrangian interpolation, and is found to be third order accurate but only conditionally stable. Fourth order Lagrangian interpolation is used to obtain a four step least squares scheme which is A,-stable but inconsistent.

📜 SIMILAR VOLUMES

On the nature of solutions produced by f

On the nature of solutions produced by finite difference schemes in time domain

✍ Dr. Malgorzata Celuch-Marcysiak; Wojciech K. Gwarek 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 364 KB 👁 1 views

This paper is a review discussing properties of "eld solutions produced by various "nite di!erence schemes in the time domain. Considered algorithms include standard FDTD as well as its modi"cations based on di!erent sets of electromagnetic equations and/or di!erent discretization in space. By devel

Relation between the time and space step

Relation between the time and space step-sizes in nonstandard finite-difference schemes for the Fisher equation

✍ Ronald E. Mickens 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 57 KB 👁 1 views

A positivity condition is used to obtain functional relations between the time and space step-sizes for nonstandard finite-difference models of the Fisher partial differential equation. An upper bound is also derived for the solutions to the difference equations.

A 3D finite element method for the model

A 3D finite element method for the modelling of bounded and unbounded electromagnetic problems in the time domain

✍ W. P. Carpes Jr; L. Pichon; A. Razek 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 237 KB 👁 2 views

This paper presents a 3D body-conforming "nite element solution of the time-dependent vector wave equation. The method uses edge elements on tetrahedra for the electric "eld interpolation. This kind of element is suited to model Maxwell's equations since it only enforces tangential continuity of vec

Characterization of a single-step micros

Characterization of a single-step microstrip discontinuity in a substrate using the finite-difference time-domain method

✍ Joong-Chang Chun; W. S. Park 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 135 KB 👁 2 views

An analysis of factors that govern the m

An analysis of factors that govern the minimum time step size to be used in the finite element analysis of diffusion problems

✍ Thomas, Hywel Rhys ;Zhou, Zhengming 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 123 KB 👁 1 views

The solution of the equation system of the ®nite element method for diusion problems is presented in the format of a sequence. The characteristics of the numerical results can thus be known through an analysis of this `theoretical expression' of the solution. The characteristics of the sequence are