Error estimates for an immersed finite element method for second order hyperbolic equations in inhomogeneous media
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Publication:2007018
DOI10.1007/s10915-020-01283-0zbMath1452.65220OpenAlexW3046240392MaRDI QIDQ2007018
Tao Lin, Qiao Zhuang, Slimane Adjerid
Publication date: 12 October 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-020-01283-0
PDEs in connection with fluid mechanics (35Q35) Hydro- and aero-acoustics (76Q05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Traveling wave solutions (35C07)
Related Items (12)
Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media ⋮ \(L^2\) estimates for weak Galerkin finite element methods for second-order wave equations with polygonal meshes ⋮ Semi and fully discrete error analysis for elastodynamic interface problems using immersed finite element methods ⋮ A unified immersed finite element error analysis for one-dimensional interface problems ⋮ Solving Navier-Stokes equations with stationary and moving interfaces on unfitted meshes ⋮ An immersed selective discontinuous Galerkin method in particle-in-cell simulation with adaptive Cartesian mesh and polynomial preserving recovery ⋮ Convergence of Weak Galerkin Finite Element Method for Second Order Linear Wave Equation in Heterogeneous Media ⋮ Unnamed Item ⋮ Unnamed Item ⋮ PIFE-PIC: Parallel Immersed Finite Element Particle-in-Cell for 3-D Kinetic Simulations of Plasma-Material Interactions ⋮ Solving Parabolic Moving Interface Problems with Dynamical Immersed Spaces on Unfitted Meshes: Fully Discrete Analysis ⋮ An immersed discontinuous Galerkin method for wave propagation in acoustic elastic media
Uses Software
Cites Work
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- A locking-free immersed finite element method for planar elasticity interface problems
- Finite element methods for second order linear hyperbolic interface problems
- Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient
- A robust Nitsche's formulation for interface problems
- Optimal a priori estimates for higher order finite elements for elliptic interface problems
- The immersed interface method for acoustic wave equations with discontinuous coefficients
- The immersed interface method using a finite element formulation
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Numerical treatment of two-dimensional interfaces for acoustic and elastic waves.
- New Cartesian grid methods for interface problems using the finite element formulation
- Higher degree immersed finite element spaces constructed according to the actual interface
- A fixed mesh method with immersed finite elements for solving interface inverse problems
- An immersed discontinuous finite element method for the Stokes problem with a moving interface
- The finite element method for elliptic equations with discontinuous coefficients
- An immersed discontinuous finite element method for Stokes interface problems
- Arbitrary discontinuities in finite elements
- Convergence of finite element method for linear second-order wave equations with discontinuous coefficients
- A new multiscale finite element method for high-contrast elliptic interface problems
- Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods
- Three-dimensional immersed finite element methods for electric field simulation in composite materials
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Approximation capability of a bilinear immersed finite element space
- An Interior Penalty Finite Element Method with Discontinuous Elements
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
- An Immersed Discontinuous Galerkin Method for Acoustic Wave Propagation in Inhomogeneous Media
- An immersed finite element space and its approximation capability
- Immersed finite element methods for parabolic equations with moving interface
- 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
- A Higher Order Immersed Discontinuous Galerkin Finite Element Method for the Acoustic Interface Problem
- Numerical Analysis of Partially Penalized Immersed Finite Element Methods for Hyperbolic Interface Problems
- The Immersed Interface Method
- Galerkin Finite Element Methods for Parabolic Problems
- $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
- An extended finite element method for modeling crack growth with frictional contact.
- Discontinuous Galerkin immersed finite element methods for parabolic interface problems
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