Discontinuous Galerkin immerse finite volume element method for elliptic interface problems

Author

Zhongyan Liu ; Huanzhen Chen

Author_Institution

Coll. of Math. Sci., Shandong Normal Univ., Jinan, China

fYear

2014

fDate

26-28 April 2014

Firstpage

115

Lastpage

118

Abstract

By choosing the trial function space to the immersed finite element space and the test function space to be piecewise constant function space, we develop a discontinuous Galerkin immersed finite volume element method to solve the elliptic interface problems. The existence and uniqueness of the discrete scheme is proved, and an optimal energy-norm error estimate and L²-norm estimate for the numerical solution are obtained.

Keywords

Galerkin method; elliptic equations; finite element analysis; finite volume methods; L2-norm estimation; discontinuous Galerkin immerse finite volume element method; discontinuous Galerkin immersed finite volume element method; discrete scheme; elliptic interface problems; immersed finite element space; numerical solution; optimal energy-norm error estimation; piecewise constant function space; test function space; trial function space; Approximation methods; Convergence; Educational institutions; Finite element analysis; Method of moments; Numerical models; Vectors; discontinuous Galerkin method; elliptic interface problems; error estimate; immersed finite volume method;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Science and Technology (ICIST), 2014 4th IEEE International Conference on

Conference_Location

Shenzhen

Type

conf

DOI

10.1109/ICIST.2014.6920344

Filename

6920344