Second order method for solving 3D elasticity equations with complex interfaces
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Publication:350017
DOI10.1016/j.jcp.2015.03.053zbMath1349.74367arXiv1412.6603OpenAlexW1554073924WikidataQ39831829 ScholiaQ39831829MaRDI QIDQ350017
Bao Wang, Guo-Wei Wei, Ke-Lin Xia
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.6603
Structured surfaces and interfaces, coexistent phases (74A50) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods applied to problems in solid mechanics (74S20) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items (13)
A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems ⋮ Comparisons of matched interface and boundary (MIB) method and its interpolation formulation for free vibration analysis of stepped beams and plates ⋮ High order interface-penalty finite element methods for elasticity interface problems in 3D ⋮ Weak Galerkin finite element method for linear elasticity interface problems ⋮ Two-dimensional orthotropic plate problems in a thermal environment: refined crack modelling ⋮ On the numerical convergence and performance of different spatial discretization techniques for transient elastodynamic wave propagation problems ⋮ Free Vibration Analysis of Rectangular Thin Plates Resting on Nonhomogeneous Elastic Foundations by Using Matched Interface and Boundary Algorithms and their Multi-Domain Formulations ⋮ A generalized finite difference method for solving elasticity interface problems ⋮ Interface solutions of partial differential equations with point singularity ⋮ Matched Interface and Boundary Method for Free Vibration Analysis of Irregular Membranes ⋮ A hyperbolic Poisson solver for tetrahedral grids ⋮ A phase-field method for elastic mechanics with large deformation ⋮ Finite volume formulation of the MIB method for elliptic interface problems
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Cites Work
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- A locking-free immersed finite element method for planar elasticity interface problems
- A matched interface and boundary method for solving multi-flow Navier-Stokes equations with applications to geodynamics
- Linear and bilinear immersed finite elements for planar elasticity interface problems
- Second-order Poisson-Nernst-Planck solver for ion transport
- Differential geometry based solvation model. I: Eulerian formulation
- Multiscale molecular dynamics using the matched interface and boundary method
- A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
- Differential geometry based multiscale models
- On the fictitious-domain and interpolation formulations of the matched interface and boundary (MIB) method
- High order matched interface and boundary methods for the Helmholtz equation in media with arbitrarily curved interfaces
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces
- A Nitsche type method for stress fields calculation in dissimilar material with interface crack
- A second-order sharp numerical method for solving the linear elasticity equations on irregular domains and adaptive grids -- application to shape optimization
- Three-dimensional matched interface and boundary (MIB) method for treating geometric singularities
- High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
- Modelling crack growth by level sets in the extended finite element method
- The extended/generalized finite element method: An overview of the method and its applications
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- Computational Methods in Elasticity and Plasticity
- Classroom Note:Calculation of Weights in Finite Difference Formulas
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- A Numerical Method for Solving Elasticity Equations with Interfaces
- Front Tracking Algorithm Using Adaptively Refined Meshes
- Modeling holes and inclusions by level sets in the extended finite element method
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