Semi and fully discrete error analysis for elastodynamic interface problems using immersed finite element methods
DOI10.1016/j.camwa.2023.07.014OpenAlexW4385542544MaRDI QIDQ6076632
Yuan Chen, Xu Zhang, Songming Hou
Publication date: 21 September 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.07.014
Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
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- Immersed finite element methods for unbounded interface problems with periodic structures
- A locking-free immersed finite element method for planar elasticity interface problems
- Linear and bilinear immersed finite elements for planar elasticity interface problems
- Generalized multiscale finite element method for elasticity equations
- Reflection and refraction of coupled transverse and micro-rotational waves at an interface between two different micropolar elastic media in welded contact
- On the constants in \(hp\)-finite element trace inverse inequalities.
- A finite element method for high-contrast interface problems with error estimates independent of contrast
- A study of transient elastic wave propagation in a bimaterial modeling the thorax.
- Transient elastic wave propagation in a spherically symmetric bimaterial medium modeling the thorax
- Error estimates for an immersed finite element method for second order hyperbolic equations in inhomogeneous media
- A class of nonconforming immersed finite element methods for Stokes interface problems
- A conforming-nonconforming mixed immersed finite element method for unsteady Stokes equations with moving interfaces
- A weak Galerkin method for elasticity interface problems
- An immersed discontinuous Galerkin method for wave propagation in acoustic elastic media
- Solving three-dimensional interface problems with immersed finite elements: a-priori error analysis
- High-order cut finite elements for the elastic wave equation
- High-order extended finite element methods for solving interface problems
- A reduced Crouzeix-Raviart immersed finite element method for elasticity problems with interfaces
- High degree discontinuous Petrov-Galerkin immersed finite element methods using fictitious elements for elliptic interface problems
- Optimal error bounds for partially penalized immersed finite element methods for parabolic interface problems
- Discontinuous Galerkin methods for incompressible elastic materials
- A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems
- Cut finite element methods for linear elasticity problems
- The Adaptive Immersed Interface Finite Element Method for Elasticity Interface Problems
- Partially penalized immersed finite element methods for parabolic interface problems
- Approximation capability of a bilinear immersed finite element space
- Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions
- Discontinuous Galerkin and the Crouzeix–Raviart element: Application to elasticity
- Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
- A Numerical Method for Solving Elasticity Equations with Interfaces
- Korn's inequalities for piecewise $H^1$ vector fields
- Error estimates for a partially penalized immersed finite element method for elasticity interface problems
- Approximation capabilities of immersed finite element spaces for elasticity Interface problems
- A Higher Degree Immersed Finite Element Method Based on a Cauchy Extension for Elliptic Interface Problems
- Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
- Numerical Analysis of Partially Penalized Immersed Finite Element Methods for Hyperbolic Interface Problems
- The Mathematical Theory of Finite Element Methods
- An extended finite element method for modeling crack growth with frictional contact.
- Weak Galerkin finite element method for linear elasticity interface problems
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