Numerical Algorithm of Two Mixed Finite Element Schemes for A Fourth-Order Diffusion Equation

DOI

10.2991/isci-15.2015.330How to use a DOI?

Keywords

Fourth-order diffusion equation; H1- GMFE methods; LBB condition; Error results.

Abstract

Two numerical algorithms based on H1-Galerkin mixed finite element (GMFE) methods are presented and analyzed for a fourth-order diffusion equation. By introducing three variables with two different ways, the two first-order system of four equations are formulated. The semi-discrete optimal error estimates are derived for a numerical scheme and the fully discrete analysis of optimal error results for the other one are made. Moreover, the numerical procedures for two numerical schemes are made to confirm the theoretical results of theorems.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Jinfeng Wang
AU  - Hong Li
AU  - Yang Liu
PY  - 2015/01
DA  - 2015/01
TI  - Numerical Algorithm of Two Mixed Finite Element Schemes for A Fourth-Order Diffusion Equation
BT  - Proceedings of the 2015 International Symposium on Computers & Informatics
PB  - Atlantis Press
SP  - 2548
EP  - 2555
SN  - 2352-538X
UR  - https://doi.org/10.2991/isci-15.2015.330
DO  - 10.2991/isci-15.2015.330
ID  - Wang2015/01
ER  -