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Shape optimization with immersed interface finite element method

https://doi.org/10.1002/nme.7093
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/(sici)1097-0363(19960430)22:8<691::aid-fld371>3.0.co;2-uopenalex-snapshot
ELAFINT: A MIXED EULERIAN-LAGRANGIAN METHOD FOR FLUID FLOWS WITH COMPLEX AND MOVING BOUNDARIES
inferredcites →https://doi.org/10.1002/nme.1003openalex-snapshot
Boundary layer in shape optimization of convective fins using a meshfree approach
inferredcites →https://doi.org/10.1002/nme.1430openalex-snapshot
A quadratically convergent unstructured remeshing strategy for shape optimization
inferredcites →https://doi.org/10.1002/nme.1620180504openalex-snapshot
Three‐dimensional shape optimization
inferredcites →https://doi.org/10.1002/nme.1761openalex-snapshot
The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns
inferredcites →https://doi.org/10.1002/nme.2092openalex-snapshot
A level set‐based parameterization method for structural shape and topology optimization
inferredcites →https://doi.org/10.1002/nme.2631openalex-snapshot
An unfitted finite element method using discontinuous Galerkin
inferredcites →https://doi.org/10.1002/nme.2914openalex-snapshot
The extended/generalized finite element method: An overview of the method and its applications
inferredcites →https://doi.org/10.1002/nme.3273openalex-snapshot
An interface‐enriched generalized FEM for problems with discontinuous gradient fields
inferredcites →https://doi.org/10.1002/nme.4823openalex-snapshot
CutFEM: Discretizing geometry and partial differential equations
inferredcites →https://doi.org/10.1002/nme.5482openalex-snapshot
Shape optimization using a NURBS-based interface-enriched generalized FEM
inferredcites →https://doi.org/10.1002/nme.6683openalex-snapshot
Immersed‐interface finite element method based on a nonconformal Petrov–Galerkin formulation
inferredcites →https://doi.org/10.1002/nme.933openalex-snapshot
A numerical methodology to assess the quality of the design velocity field computation methods in shape sensitivity analysis
inferredcites →https://doi.org/10.1002/num.20318openalex-snapshot
Approximation capability of a bilinear immersed finite element space
inferredcites →https://doi.org/10.1002/num.21722openalex-snapshot
Immersed finite element methods for parabolic equations with moving interface
inferredcites →https://doi.org/10.1002/num.22348openalex-snapshot
Approximation capabilities of immersed finite element spaces for elasticity Interface problems
inferredcites →https://doi.org/10.1006/jcph.2000.6444openalex-snapshot
A Boundary Condition Capturing Method for Poisson's Equation on Irregular Domains
inferredcites →https://doi.org/10.1007/1-4020-4752-5_3openalex-snapshot
Generalized Shape Optimization Using X-FEM and Level Set Methods
inferredcites →https://doi.org/10.1007/bf01650949openalex-snapshot
Optimal shape design as a material distribution problem
inferredcites →https://doi.org/10.1007/bf02022087openalex-snapshot
NLPQL: A fortran subroutine solving constrained nonlinear programming problems
inferredcites →https://doi.org/10.1007/bf02248021openalex-snapshot
The finite element method for elliptic equations with discontinuous coefficients
inferredcites →https://doi.org/10.1007/bfb0106553openalex-snapshot
Aspects (and aspect ratios) of cartesian mesh methods
inferredcites →https://doi.org/10.1007/s00158-005-0518-0openalex-snapshot
Nonparametric gradient-less shape optimization for real-world applications
inferredcites →https://doi.org/10.1007/s00158-009-0400-6openalex-snapshot
“Bubble-and-grain” method and criteria for optimal positioning inhomogeneities in topological optimization
inferredcites →https://doi.org/10.1007/s00211-003-0473-xopenalex-snapshot
New Cartesian grid methods for interface problems using the finite element formulation
inferredcites →https://doi.org/10.1007/s004660000206openalex-snapshot
Inverse problems in the presence of inclusions and unilateral constraints: a boundary element approach
inferredcites →https://doi.org/10.1007/s10915-018-0865-9openalex-snapshot
A Nonconforming Immersed Finite Element Method for Elliptic Interface Problems
inferredcites →https://doi.org/10.1016/0021-9991(77)90100-0openalex-snapshot
Numerical analysis of blood flow in the heart
inferredcites →https://doi.org/10.1016/0045-7825(86)90072-1openalex-snapshot
Structural shape optimization—A survey
inferredcites →https://doi.org/10.1016/0045-7825(88)90061-8openalex-snapshot
A shape optimization approach based on natural design variables and shape functions
inferredcites →https://doi.org/10.1016/0045-7949(80)90105-4openalex-snapshot
Optimum shape design of rotating disks
inferredcites →https://doi.org/10.1016/0045-7949(86)90307-xopenalex-snapshot
Shape optimization of structures: a literature survey
inferredcites →https://doi.org/10.1016/0045-7949(93)90035-copenalex-snapshot
A simple evolutionary procedure for structural optimization
inferredcites →https://doi.org/10.1016/0898-1221(95)00202-2openalex-snapshot
A note on immersed interface method for three-dimensional elliptic equations
inferredcites →https://doi.org/10.1016/b978-0-12-068650-6.50025-3openalex-snapshot
EXPERIENCE WITH THE PATCH TEST FOR CONVERGENCE OF FINITE ELEMENTS
inferredcites →https://doi.org/10.1016/j.amc.2014.11.072openalex-snapshot
A numerical method for solving elasticity equations with interface involving multi-domains and triple junction points
inferredcites →https://doi.org/10.1016/j.apnum.2008.08.005openalex-snapshot
A p-th degree immersed finite element for boundary value problems with discontinuous coefficients
inferredcites →https://doi.org/10.1016/j.cam.2012.03.012openalex-snapshot
Linear and bilinear immersed finite elements for planar elasticity interface problems
inferredcites →https://doi.org/10.1016/j.cam.2020.113059openalex-snapshot
Partially penalized IFE methods and convergence analysis for elasticity interface problems
inferredcites →https://doi.org/10.1016/j.cma.2004.10.008openalex-snapshot
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
inferredcites →https://doi.org/10.1016/j.cma.2004.12.019openalex-snapshot
Eulerian shape design sensitivity analysis and optimization with a fixed grid
inferredcites →https://doi.org/10.1016/j.cma.2008.01.025openalex-snapshot
Isogeometric structural shape optimization
inferredcites →https://doi.org/10.1016/j.cma.2009.12.010openalex-snapshot
Isogeometric sizing and shape optimisation of beam structures
inferredcites →https://doi.org/10.1016/j.cma.2010.06.033openalex-snapshot
Isogeometric topology optimization using trimmed spline surfaces
inferredcites →https://doi.org/10.1016/j.cma.2010.10.004openalex-snapshot
A gradient-based, parameter-free approach to shape optimization
inferredcites →https://doi.org/10.1016/j.cma.2011.09.012openalex-snapshot
Stable Generalized Finite Element Method (SGFEM)
inferredcites →https://doi.org/10.1016/j.cma.2015.07.024openalex-snapshot
A gradient-based shape optimization scheme using an interface-enriched generalized FEM
inferredcites →https://doi.org/10.1016/j.cma.2017.09.005openalex-snapshot
Shape optimization using the cut finite element method
inferredcites →https://doi.org/10.1016/j.cma.2020.113279openalex-snapshot
Shape optimization of heterogeneous materials based on isogeometric boundary element method
inferredcites →https://doi.org/10.1016/j.compstruc.2013.08.008openalex-snapshot
A general material perturbation method using fixed mesh for stress sensitivity analysis and structural shape optimization
inferredcites →https://doi.org/10.1016/j.ijsolstr.2010.03.004openalex-snapshot
Shape optimization and its extension to topological design based on isogeometric analysis
inferredcites →https://doi.org/10.1016/j.jcp.2004.07.016openalex-snapshot
A numerical method for solving variable coefficient elliptic equation with interfaces
inferredcites →https://doi.org/10.1016/j.jcp.2006.10.030openalex-snapshot
Matched interface and boundary (MIB) method for elliptic problems with sharp-edged interfaces
inferredcites →https://doi.org/10.1016/j.jcp.2013.03.053openalex-snapshot
A locking-free immersed finite element method for planar elasticity interface problems
inferredcites →https://doi.org/10.1016/j.jcp.2013.04.025openalex-snapshot
A weak formulation for solving elliptic interface problems without body fitted grid
inferredcites →https://doi.org/10.1016/j.jcp.2014.06.016openalex-snapshot
Hierarchical interface-enriched finite element method: An automated technique for mesh-independent simulations
inferredcites →https://doi.org/10.1016/j.jcp.2019.109123openalex-snapshot
Recovering elastic inclusions by shape optimization methods with immersed finite elements
inferredcites →https://doi.org/10.1016/j.rinam.2020.100100openalex-snapshot
A bilinear partially penalized immersed finite element method for elliptic interface problems with multi-domain and triple-junction points
inferredcites →https://doi.org/10.1016/s0020-7683(97)00214-xopenalex-snapshot
The cavity of the optimal shape under the shear stresses
inferredcites →https://doi.org/10.1016/s0045-7825(01)00215-8openalex-snapshot
Modeling holes and inclusions by level sets in the extended finite-element method
inferredcites →https://doi.org/10.1016/s0045-7825(97)00085-6openalex-snapshot
The finite element patch test revisited a computer test for convergence, validation and error estimates
inferredcites →https://doi.org/10.1016/s0168-9274(98)00015-4openalex-snapshot
The immersed interface method using a finite element formulation
inferredcites →https://doi.org/10.1016/s0378-4754(02)00107-6openalex-snapshot
Developments in Cartesian cut cell methods
inferredcites →https://doi.org/10.1051/m2an/2016011openalex-snapshot
A stabilizedP1-nonconforming immersed finite element method for the interface elasticity problems
inferredcites →https://doi.org/10.1090/conm/383/07171openalex-snapshot
An immersed finite element method for elasticity equations with interfaces
inferredcites →https://doi.org/10.1090/s0025-5718-98-00920-xopenalex-snapshot
Multigrid and multilevel methods for nonconforming 𝑄₁ elements
inferredcites →https://doi.org/10.1137/0731054openalex-snapshot
The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
inferredcites →https://doi.org/10.1137/130912700openalex-snapshot
Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
inferredcites →https://doi.org/10.1137/s003614299936473xopenalex-snapshot
On the Necessity and Sufficiency of the Patch Test for Convergence of Nonconforming Finite Elements
inferredcites →https://doi.org/10.1142/s0218202501000970openalex-snapshot
FICTITIOUS DOMAINS METHODS WITH DISTRIBUTED LAGRANGE MULTIPLIERS PART II: APPLICATION TO THE SOLUTION OF SHAPE OPTIMIZATION PROBLEMS
inferredcites →https://doi.org/10.1146/annurev.fluid.37.061903.175743openalex-snapshot
IMMERSED BOUNDARY METHODS
inferredcites →https://doi.org/10.2514/3.8935openalex-snapshot
Structural shape optimization with geometric description and adaptive mesh refinement
inferredcites →https://doi.org/10.2514/6.2016-1170openalex-snapshot
Material Design Using a NURBS-based Shape Optimization
inferredcites →https://doi.org/10.4208/aamm.13-13s11openalex-snapshot
A Method of Lines Based on Immersed Finite Elements for Parabolic Moving Interface Problems
inferredcites →https://doi.org/10.4208/cicp.160910.130711sopenalex-snapshot
A Numerical Method for Solving Elasticity Equations with Interfaces
inferredcites →https://doi.org/10.4208/nmtma.2009.m9001openalex-snapshot
Immersed Interface Finite Element Methods for Elasticity Interface Problems with Non-Homogeneous Jump Conditions

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4677858openalex-extracted
Material Design Using Topology Optimization with Immersed Interface Fem
inferred← citeshttps://doi.org/10.1002/nme.70406openalex-snapshot
Maximum‐Entropy‐Based Meshless Modeling of Surface‐Tension‐Driven Large Deformation
inferred← citeshttps://doi.org/10.1007/s40687-025-00501-1openalex-snapshot
A shape derivative algorithm for reconstructing elastic dislocations in geophysics
inferred← citeshttps://doi.org/10.1016/j.cma.2025.118293openalex-snapshot
Multiphysics modeling of hydrogels with a maximum-entropy-based meshless framework
inferred← citeshttps://doi.org/10.1080/13632469.2025.2525910openalex-snapshot
Finite Element Analysis of Seismic Performance of Steel-Concrete Frame Beam-Column Nodes in Assembled Buildings
inferred← citeshttps://doi.org/10.1080/15376494.2026.2632318openalex-snapshot
Material design using topology optimization with immersed interface finite element method
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