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Linear and bilinear immersed finite elements for planar elasticity interface problems

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What this work says

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

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Three‐dimensional immersed finite element methods for electric field simulation in composite materials
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Approximation capability of a bilinear immersed finite element space
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Microstructural Evolution in Inhomogeneous Elastic Media
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Microstructural Evolution in Orthotropic Elastic Media
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The Mathematical Theory of Finite Element Methods
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The finite element method for elliptic equations with discontinuous coefficients
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New Cartesian grid methods for interface problems using the finite element formulation
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Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity
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Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients
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Quadratic immersed finite element spaces and their approximation capabilities
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Optimal convergence analysis of an immersed interface finite element method
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A p-th degree immersed finite element for boundary value problems with discontinuous coefficients
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A finite element method for the simulation of strong and weak discontinuities in solid mechanics
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Discontinuous Galerkin methods for incompressible elastic materials
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A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
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Continuum and atomistic studies of intersonic crack propagation
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The immersed interface method using a finite element formulation
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The immersed finite volume element methods for the elliptic interface problems
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Discontinuous Galerkin and the Crouzeix–Raviart element: Application to elasticity
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An immersed finite element method for elasticity equations with interfaces
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/10.1109/mcse.1999.10004openalex-snapshot
Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics
inferredcites →https://doi.org/10.1117/12.190787openalex-snapshot
Interfaces in crystalline materials
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A Trilinear Immersed Finite Element Method for Solving the Electroencephalography Forward Problem
inferredcites →https://doi.org/10.2307/2008488openalex-snapshot
Mathematical Elasticity, Volume I: Three-Dimensional Elasticity
inferredcites →https://doi.org/10.3934/dcdsb.2007.7.807openalex-snapshot
Error estimation of a class of quadratic immersed finite element methods for elliptic interface problems
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.v8.n2.p189openalex-snapshot
A Finite Element Method for Elasticity Interface Problems with Locally Modified Triangulations
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
inferredcites →https://doi.org/10.5860/choice.35-5126openalex-snapshot
Finite elements: theory, fast solvers, and applications in solid mechanics

What points at this work

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

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Long‐time stability and asymptotic analysis of the IFE method for the multilayer porous wall model
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A partially penalized P1/CR immersed finite element method for planar elasticity interface problems
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Multigrid Algorithm for Immersed Finite Element Discretizations of Elliptic Interface Problems
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Long time error estimates of IFE methods for the unsteady multi-layer porous wall model
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Parallel subspace correction methods for nearly singular systems
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Matched interface and boundary method for elasticity interface problems
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Discontinuous Galerkin immersed finite element methods for parabolic interface problems
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Immersed finite element methods for unbounded interface problems with periodic structures
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Partially penalized IFE methods and convergence analysis for elasticity interface problems
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The stability comparison of two discretization schemes for nonlinear magnetic diffusion problems with step-function resistivity
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A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems
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An iterative immersed finite element method for an electric potential interface problem based on given surface electric quantity
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An Immersed Finite Element Method for Planar Elasticity Interface Problem
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