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Approximation capabilities of immersed finite element spaces for elasticity Interface problems

https://doi.org/10.1002/num.22348
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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/num.10092openalex-snapshot
An immersed finite element space and its approximation capability
inferredcites →https://doi.org/10.1002/num.1690080202openalex-snapshot
Simple nonconforming quadrilateral Stokes element
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/10.1006/jcph.1996.5581openalex-snapshot
Microstructural Evolution in Inhomogeneous Elastic Media
inferredcites →https://doi.org/10.1006/jcph.1999.6359openalex-snapshot
Microstructural Evolution in Orthotropic Elastic Media
inferredcites →https://doi.org/10.1007/978-0-387-75934-0openalex-snapshot
The Mathematical Theory of Finite Element Methods
inferredcites →https://doi.org/10.1007/978-1-4612-1188-4openalex-snapshot
Variational Methods for Structural Optimization
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Topology Optimization: Theory, Methods, and Applications
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/s002110050336openalex-snapshot
Finite element methods and their convergence for elliptic and parabolic interface problems
inferredcites →https://doi.org/10.1007/s10915-018-0847-yopenalex-snapshot
A Fixed Mesh Method with Immersed Finite Elements for Solving Interface Inverse Problems
inferredcites →https://doi.org/10.1016/j.cam.2011.01.041openalex-snapshot
Immersed finite element methods for 4th order differential equations
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.camwa.2017.10.040openalex-snapshot
Nonconforming immersed finite element spaces for elliptic interface problems
inferredcites →https://doi.org/10.1016/j.camwa.2018.07.015openalex-snapshot
Modeling and an immersed finite element method for an interface wave equation
inferredcites →https://doi.org/10.1016/j.cma.2003.12.041openalex-snapshot
A finite element method for the simulation of strong and weak discontinuities in solid mechanics
inferredcites →https://doi.org/10.1016/j.cma.2005.07.003openalex-snapshot
Discontinuous Galerkin methods for incompressible elastic materials
inferredcites →https://doi.org/10.1016/j.cma.2009.06.017openalex-snapshot
A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
inferredcites →https://doi.org/10.1016/j.cma.2015.04.006openalex-snapshot
An immersed discontinuous finite element method for Stokes interface problems
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/s0022-5096(01)00032-1openalex-snapshot
Continuum and atomistic studies of intersonic crack propagation
inferredcites →https://doi.org/10.1016/s0168-2024(13)70297-2openalex-snapshot
Studies in Mathematics and its Applications
inferredcites →https://doi.org/10.1017/cbo9780511810800openalex-snapshot
Matrix Algebra
inferredcites →https://doi.org/10.1051/m2an/197307r300331openalex-snapshot
Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
inferredcites →https://doi.org/10.1051/m2an:2003020openalex-snapshot
Discontinuous Galerkin and the Crouzeix–Raviart element: Application to elasticity
inferredcites →https://doi.org/10.1088/0266-5611/15/1/011openalex-snapshot
Identification of 2D cracks by elastic boundary measurements
inferredcites →https://doi.org/10.1088/0266-5611/15/1/013openalex-snapshot
Inverse scattering for elastic plane cracks
inferredcites →https://doi.org/10.1088/0266-5611/20/3/003openalex-snapshot
Level set methods for geometric inverse problems in linear elasticity
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/s0002-9947-1994-1232190-7openalex-snapshot
On a Two-Dimensional Elliptic Problem with Large Exponent in Nonlinearity
inferredcites →https://doi.org/10.1090/s0025-5718-06-01815-1openalex-snapshot
Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems
inferredcites →https://doi.org/10.1090/s0025-5718-99-01085-6openalex-snapshot
Can a finite element method perform arbitrarily badly?
inferredcites →https://doi.org/10.1093/imanum/drx074openalex-snapshot
A group of immersed finite-element spaces for elliptic interface problems
inferredcites →https://doi.org/10.1109/mcse.1999.10004openalex-snapshot
Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics
inferredcites →https://doi.org/10.1115/1.3424474openalex-snapshot
The Finite Element Method for Elliptic Problems
inferredcites →https://doi.org/10.1117/12.190787openalex-snapshot
Interfaces in crystalline materials
inferredcites →https://doi.org/10.1137/060666482openalex-snapshot
Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions
inferredcites →https://doi.org/10.1137/130912700openalex-snapshot
Partially Penalized Immersed Finite Element Methods For Elliptic 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/cicp.2009.v6.p185openalex-snapshot
A Bilinear Immersed Finite Volume Element Method for the Diffusion Equation with Discontinuous Coefficient
inferredcites →https://doi.org/10.4208/ijnam.v14.n2.p175openalex-snapshot
An Immersed-Finite-Element Particle-in-Cell Simulation Tool for Plasma Surface Interaction
inferredcites →https://doi.org/10.4208/ijnam.v14.n6.p822openalex-snapshot
Error Analysis of an Immersed Finite Element Method for Euler-Bernoulli Beam Interface Problems
inferredcites →https://doi.org/10.4208/ijnam.v15.n1-2.p48openalex-snapshot
Linear and Quadratic Immersed Finite Element Methods for the Multi-Layer Porous Wall Model for Coronary Drug-Eluting Stents
inferredcites →https://doi.org/10.4208/ijnam.v8.n2.p284openalex-snapshot
Immersed Finite Element Methods for Elliptic Interface Problems with Non-Homogeneous Jump Conditions
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.

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Material Design Using Topology Optimization with Immersed Interface Fem
inferred← citeshttps://doi.org/10.1002/mma.10127openalex-snapshot
Mass lumping of stable generalized finite element methods for parabolic interface problems
inferred← citeshttps://doi.org/10.1002/nme.6301openalex-snapshot
Three‐dimensional immersed finite‐element method for anisotropic magnetostatic/electrostatic interface problems with nonhomogeneous flux jump
inferred← citeshttps://doi.org/10.1002/nme.7093openalex-snapshot
Shape optimization with immersed interface finite element method
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A global RBF-QR collocation technique for solving two-dimensional elliptic problems involving arbitrary interface
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The 10-th order of accuracy of ‘quadratic’ elements for elastic heterogeneous materials with smooth interfaces and unfitted Cartesian meshes
inferred← citeshttps://doi.org/10.1007/s00466-025-02641-1openalex-snapshot
10-th order of accuracy for numerical solution of 3-D elasticity equations for heterogeneous materials on unfitted Cartesian meshes
inferred← citeshttps://doi.org/10.1007/s10915-020-01283-0openalex-snapshot
Error Estimates for an Immersed Finite Element Method for Second Order Hyperbolic Equations in Inhomogeneous Media
inferred← citeshttps://doi.org/10.1007/s10915-022-01949-xopenalex-snapshot
Immersed Virtual Element Methods for Elliptic Interface Problems in Two Dimensions
inferred← citeshttps://doi.org/10.1016/j.advengsoft.2025.104049openalex-snapshot
Optimal local truncation error method for 3-D elastodynamics interface problems on unfitted Cartesian meshes
inferred← citeshttps://doi.org/10.1016/j.apnum.2020.05.001openalex-snapshot
Long time error estimates of IFE methods for the unsteady multi-layer porous wall model
inferred← citeshttps://doi.org/10.1016/j.cam.2020.113059openalex-snapshot
Partially penalized IFE methods and convergence analysis for elasticity interface problems
inferred← citeshttps://doi.org/10.1016/j.cam.2023.115540openalex-snapshot
Improved enrichments and numerical integrations in SGFEM for interface problems
inferred← citeshttps://doi.org/10.1016/j.camwa.2023.07.014openalex-snapshot
Semi and fully discrete error analysis for elastodynamic interface problems using immersed finite element methods
inferred← citeshttps://doi.org/10.1016/j.camwa.2025.05.017openalex-snapshot
An innovative Galerkin scheme based on anisotropic trilinear immersed finite elements for the magnetized plasma diffusion problem with plasma sheath interface
inferred← citeshttps://doi.org/10.1016/j.cma.2021.114537openalex-snapshot
A condensed generalized finite element method (CGFEM) for interface problems
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GPU-based matrix-free multigrid methods of stable generalized finite element methods for interface problems
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A locking-free immersed enriched Galerkin method for elasticity interface problems
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A generalized finite difference method for solving elasticity interface problems
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Multi-grid methods of stable generalized finite element methods for interface problems
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Optimal local truncation error method for 3-D elasticity interface problems
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Recovering elastic inclusions by shape optimization methods with immersed finite elements
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An immersed finite element method for elliptic interface problems in three dimensions
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Error estimates for a partially penalized immersed finite element method for elasticity interface problems
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Optimal local truncation error method for solution of elasticity problems for heterogeneous materials with irregular interfaces and unfitted Cartesian meshes
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Optimal local truncation error method for solution of 2-D elastodynamics problems with irregular interfaces and unfitted Cartesian meshes as well as for post-processing
inferred← citeshttps://doi.org/10.1080/15376494.2026.2632318openalex-snapshot
Material design using topology optimization with immersed interface finite element method
inferred← citeshttps://doi.org/10.12677/pm.2024.146232openalex-snapshot
A New Immersed Finite Element Method for Interface Problems with Non-Homogeneous Jump Conditions
inferred← citeshttps://doi.org/10.4208/ijnam.v16.n4.p575openalex-snapshot
Improved Error Estimation for the Partially Penalized Immersed Finite Element Methods for Elliptic Interface Problems
inferred← citeshttps://doi.org/10.4208/ijnam.v19.n4.p439openalex-snapshot
A Finite Difference Method for Elliptic Problems with Implicit Jump Condition
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A Trilinear Immersed Finite Element Method for Solving Elliptic Interface Problems
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