相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。Partially penalized IFE methods and convergence analysis for elasticity interface problems
Peiqi Huang et al.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2021)
Immersed-interface finite element method based on a nonconformal Petrov-Galerkin formulation
Mayuresh J. Patil
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2021)
Recovering elastic inclusions by shape optimization methods with immersed finite elements
Ruchi Guo et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2020)
Shape optimization of heterogeneous materials based on isogeometric boundary element method
Deyong Sun et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2020)
A bilinear partially penalized immersed finite element method for elliptic interface problems with multi-domain and triple-junction points
Yuan Chen et al.
RESULTS IN APPLIED MATHEMATICS (2020)
A Nonconforming Immersed Finite Element Method for Elliptic Interface Problems
Tao Lin et al.
JOURNAL OF SCIENTIFIC COMPUTING (2019)
Approximation capabilities of immersed finite element spaces for elasticity Interface problems
Ruchi Guo et al.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2019)
Shape optimization using the cut finite element method
Erik Burman et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2018)
A STABILIZED P1-NONCONFORMING IMMERSED FINITE ELEMENT METHOD FOR THE INTERFACE ELASTICITY PROBLEMS
Do Y. Kwak et al.
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2017)
Shape optimization using a NURBS-based interface-enriched generalized FEM
Ahmad R. Najafi et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2017)
A numerical method for solving elasticity equations with interface involving multi-domains and triple junction points
Liqun Wang et al.
APPLIED MATHEMATICS AND COMPUTATION (2015)
A gradient-based shape optimization scheme using an interface-enriched generalized FEM
Ahmad R. Najafi et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2015)
PARTIALLY PENALIZED IMMERSED FINITE ELEMENT METHODS FOR ELLIPTIC INTERFACE PROBLEMS
Tao Lin et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2015)
CutFEM: Discretizing geometry and partial differential equations
Erik Burman et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2015)
Hierarchical interface-enriched finite element method: An automated technique for mesh-independent simulations
Soheil Soghrati
JOURNAL OF COMPUTATIONAL PHYSICS (2014)
A general material perturbation method using fixed mesh for stress sensitivity analysis and structural shape optimization
Dan Wang et al.
COMPUTERS & STRUCTURES (2013)
A weak formulation for solving elliptic interface problems without body fitted grid
Songming Hou et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2013)
A locking-free immersed finite element method for planar elasticity interface problems
Tao Lin et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2013)
Immersed finite element methods for parabolic equations with moving interface
Xiaoming He et al.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2013)
A Method of Lines Based on Immersed Finite Elements for Parabolic Moving Interface Problems
Tao Lin et al.
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS (2013)
A Numerical Method for Solving Elasticity Equations with Interfaces
Songming Hou et al.
COMMUNICATIONS IN COMPUTATIONAL PHYSICS (2012)
Stable Generalized Finite Element Method (SGFEM)
I. Babuska et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2012)
An interface-enriched generalized FEM for problems with discontinuous gradient fields
Soheil Soghrati et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2012)
Linear and bilinear immersed finite elements for planar elasticity interface problems
Tao Lin et al.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2012)
A gradient-based, parameter-free approach to shape optimization
Chau Le et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2011)
Isogeometric topology optimization using trimmed spline surfaces
Yu-Deok Seo et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2010)
Isogeometric sizing and shape optimisation of beam structures
Attila P. Nagy et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2010)
The extended/generalized finite element method: An overview of the method and its applications
Thomas-Peter Fries et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2010)
Shape optimization and its extension to topological design based on isogeometric analysis
Yu-Deok Seo et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2010)
Immersed Interface Finite Element Methods for Elasticity Interface Problems with Non-Homogeneous Jump Conditions
Yan Gong et al.
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS (2010)
Bubble-and-grain method and criteria for optimal positioning inhomogeneities in topological optimization
V. Kobelev
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION (2010)
A p-th degree immersed finite element for boundary value problems with discontinuous coefficients
Slimane Adjerid et al.
APPLIED NUMERICAL MATHEMATICS (2009)
An unfitted finite element method using discontinuous Galerkin
Peter Bastian et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2009)
Isogeometric structural shape optimization
Wolfgang A. Wall et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2008)
A level set-based parameterization method for structural shape and topology optimization
Zhen Luo et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2008)
Approximation capability of a bilinear immersed finite element space
Xiaoming He et al.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2008)
Matched interface and boundary (MIB) method for elliptic problems with sharp-edged interfaces
Sining Yu et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2007)
The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns
Thomas-Peter Fries et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2006)
A quadratically convergent unstructured remeshing strategy for shape optimization
DN Wilke et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2006)
Nonparametric gradient-less shape optimization for real-world applications
R Meske et al.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION (2005)
A numerical method for solving variable coefficient elliptic equation with interfaces
SM Hou et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2005)
Eulerian shape design sensitivity analysis and optimization with a fixed grid
NH Kim et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2005)
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
TJR Hughes et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2005)
A numerical methodology to assess the quality of the design velocity field computation methods in shape sensitivity analysis
JJ Ródenas et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2004)
Boundary layer in shape optimization of convective fins using a meshfree approach
F Bobaru et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2004)
Developments in Cartesian cut cell methods
DM Ingram et al.
MATHEMATICS AND COMPUTERS IN SIMULATION (2003)
New Cartesian grid methods for interface problems using the finite element formulation
ZL Li et al.
NUMERISCHE MATHEMATIK (2003)
On the necessity and sufficiency of the patch test or convergence of nonconforming finite elements
M Wang
SIAM JOURNAL ON NUMERICAL ANALYSIS (2001)
Fictitious domains methods with distributed Lagrange multipliers Part II: Application to the solution of shape optimization problems
J Haslinger et al.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2001)
Modeling holes and inclusions by level sets in the extended finite-element method
N Sukumar et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2001)
Inverse problems in the presence of inclusions and unilateral constraints: a boundary element approach
V Mallardo et al.
COMPUTATIONAL MECHANICS (2000)
A boundary condition capturing method for Poisson's equation on irregular domains
XD Liu et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2000)
分享论文
