Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media
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Publication:825518
DOI10.1016/j.camwa.2021.11.014OpenAlexW4200074469WikidataQ115580696 ScholiaQ115580696MaRDI QIDQ825518
Publication date: 17 December 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.11.014
optimal convergenceunconditionally stablelow regularityhyperbolic interface problemimmersed weak Galerkin methodinterface independent meshnewmark algorithm
Boundary value problems for second-order elliptic equations (35J25) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
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Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems ⋮ Weak Galerkin finite element method for linear elasticity interface problems ⋮ \(L^2\) estimates for weak Galerkin finite element methods for second-order wave equations with polygonal meshes ⋮ A meshless method based on the generalized finite difference method for three-dimensional elliptic interface problems ⋮ High-order conservative schemes for the nonlinear Schrödinger equation in the semiclassical limit ⋮ Convergence of Weak Galerkin Finite Element Method for Second Order Linear Wave Equation in Heterogeneous Media ⋮ An analysis of weak Galerkin finite element method for a steady state Boussinesq problem
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