Error Estimates of H1-Galerkin Mixed Finite Element Methods for Nonlinear Parabolic Problem

Hai Tao Che

doi:10.4028/www.scientific.net/AMR.267.504

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

Error Estimates of H¹-Galerkin Mixed Finite Element Methods for Nonlinear Parabolic Problem

Abstract:

In this paper, H1-Galerkin mixed element method is proposed to simulate the nonlinear Parabolic problem. The problem is considered in one dimensional space. and optimal error estimates are also established. In particular, our methods can simultaneously approximate the scalar unknown and the vector flux effectively, without requiring the LBB consistency condition.

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Advanced Materials Research (Volume 267)

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504-509

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.267.504

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Online since:

June 2011

Authors:

Hai Tao Che

Keywords:

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

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