Error Estimates of H1-Galerkin Expanded Mixed Finite Element Methods for Heat Problems

Hai Tao Che; Mei Xia Li; Li Juan Liu

doi:10.4028/www.scientific.net/AMR.267.493

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 267Error Estimates of H1-Galerkin Expanded Mixed...

Error Estimates of H¹-Galerkin Expanded Mixed Finite Element Methods for Heat Problems

Abstract:

H1-Galerkin expanded mixed element method are discussed for a class of second-order heat equations. The methods possesses the advantage of mixed finite element while avoiding directly inverting the permeability tensor, which is important especially in a low permeability zone. H1-Galerkin expanded mixed finite element method for heat equations are described, an optimal order error estimate for the methods is obtained.

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Periodical:

Advanced Materials Research (Volume 267)

Pages:

493-498

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.267.493

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Online since:

June 2011

Authors:

Hai Tao Che, Mei Xia Li, Li Juan Liu

Keywords:

Error Estimate, H¹-Galerkin Expanded Mixed Finite Element Method, Heat Problems, Weak Formulation

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