Linear and bilinear immersed finite elements for planar elasticity interface problems
暂无分享,去创建一个
[1] Xiaoming He,et al. Approximation capability of a bilinear immersed finite element space , 2008 .
[2] L. R. Scott,et al. The Mathematical Theory of Finite Element Methods , 1994 .
[4] Zhilin Li. The immersed interface method using a finite element formulation , 1998 .
[5] P. Hansbo,et al. A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity , 2009 .
[6] P. Ciarlet,et al. Mathematical elasticity, volume I: Three-dimensional elasticity , 1989 .
[7] Xiaoming He,et al. A Bilinear Immersed Finite Volume Element Method For the Diffusion Equation with Discontinuous Coefficient , 2009 .
[8] Weiwei Sun,et al. Error estimation of a class of quadratic immersed finite element methods for elliptic interface problems , 2007 .
[9] Yanping Lin,et al. A rectangular immersed finite element space for interface problems , 2001 .
[10] John Lowengrub,et al. Microstructural Evolution in Inhomogeneous Elastic Media , 1997 .
[11] Mary F. Wheeler,et al. Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity , 2003, Numerische Mathematik.
[12] R. Kafafy,et al. Three‐dimensional immersed finite element methods for electric field simulation in composite materials , 2005 .
[13] Bernardo Cockburn,et al. Discontinuous Galerkin methods for incompressible elastic materials , 2006 .
[14] Xiaoming He. Bilinear Immersed Finite Elements for Interface Problems , 2009 .
[15] Y. Gong. Immersed-Interface Finite-Element Methods for Elliptic and Elasticity Interface Problems , 2007 .
[16] Stefan A. Sauter,et al. Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients , 2006, Computing.
[17] Tao Lin,et al. New Cartesian grid methods for interface problems using the finite element formulation , 2003, Numerische Mathematik.
[18] F. Flores,et al. Interfaces in crystalline materials , 1994, Thin Film Physics and Applications.
[19] John Lowengrub,et al. Microstructural Evolution in Orthotropic Elastic Media , 2000 .
[20] Hui Xie,et al. A FINITE ELEMENT METHOD FOR ELASTICITY INTERFACE PROBLEMS WITH LOCALLY MODIFIED TRIANGULATIONS. , 2011, International journal of numerical analysis and modeling.
[21] Huajian Gao,et al. Continuum and atomistic studies of intersonic crack propagation , 2001 .
[22] Do Y. Kwak,et al. Optimal convergence analysis of an immersed interface finite element method , 2010, Adv. Comput. Math..
[23] Weiwei Sun,et al. Quadratic immersed finite element spaces and their approximation capabilities , 2006, Adv. Comput. Math..
[24] Ivo Babuska,et al. The finite element method for elliptic equations with discontinuous coefficients , 1970, Computing.
[25] Zhilin Li,et al. The immersed finite volume element methods for the elliptic interface problems , 1999 .
[26] P. Hansbo,et al. A finite element method for the simulation of strong and weak discontinuities in solid mechanics , 2004 .
[27] Xingzhou Yang,et al. The immersed interface method for elasticity problems with interfaces , 2002 .
[28] Slimane Adjerid,et al. A p-th degree immersed finite element for boundary value problems with discontinuous coefficients , 2009 .
[29] P. Hansbo,et al. Discontinuous Galerkin and the Crouzeix–Raviart element : application to elasticity , 2003 .
[30] Théodore Papadopoulo,et al. A Trilinear Immersed Finite Element Method for Solving the Electroencephalography Forward Problem , 2010, SIAM J. Sci. Comput..
[31] P. G. Ciarlet,et al. Three-dimensional elasticity , 1988 .
[32] Zhilin Li,et al. Immersed Interface Finite Element Methods for Elasticity Interface Problems with Non-Homogeneous Jump Conditions , 2009 .
[33] Thomas P. Wihler. Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems , 2006, Math. Comput..
[34] Zhilin Li,et al. An Immersed Finite Element Method for Elasticity Equations with Interfaces , 2005 .
[35] Xiaoming He,et al. Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions , 2011 .