Approximation capability of a bilinear immersed finite element space

By Xiaoming He, Tao Lin, Yanping Lin. 2008

149 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/0611ff6f078029c9b7110c27319513b621214743

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Xiaoming He
2. Yanping Lin
3. Tao Lin
4. Xu Zhang

In Computational Theory and Mathematics

1. Yanping Lin
2. Xiaoming He
3. Tao Lin
4. Xu Zhang

In Mechanics of Materials

1. Yanping Lin
2. Xiaoming He
3. Tao Lin
4. Xu Zhang

Citations in the corpus

• A Bilinear Immersed Finite Volume Element Method For the Diffusion Equation with Discontinuous Coefficient (2009, methodology): “In this paper, we present a finite volume element method with bilinear immersed finite element (IFE) [39, 59] for solving this popular interface problem.”
• Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions (2011, methodology): “21), the existence and uniqueness of φT,J are equivalent to those of φi, which have been showed in [14, 15, 33].”
• Immersed finite element methods for parabolic equations with moving interface (2013, background): “Similar results can be obtained for bilinear IFE functions on a rectangular mesh [32, 41].”
• The convergence of the bilinear and linear immersed finite element solutions to interface problems (2012, methodology): “The involved bilinear and linear IFE spaces were introduced in [1,2] and the approximation capability of the two IFE spaces were discussed in [3, 4].”