Error estimates for an immersed finite element method for second order hyperbolic equations in inhomogeneous media

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

zbMATH Keywords

error estimateshyperbolic equationsinhomogeneous mediaimmersed finite element methods

Mathematics Subject Classification ID

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

• IIMPACK

Cites Work

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