Virtual element methods for weakly damped wave equations on polygonal meshes

DOI10.1007/s40314-023-02252-7zbMath1524.65582OpenAlexW4362560291MaRDI QIDQ6040745

Jogen Dutta, Bhupen Deka, Gouranga Pradhan

Publication date: 22 May 2023

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-023-02252-7

zbMATH Keywords

optimal error estimatevirtual element methodpolygonal meshesweakly damped wave equations

Mathematics Subject Classification ID

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 difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

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• Equivalent projectors for virtual element methods
• Pressure wave propagation in a fluid flowing through a porous medium and problems related to interpretation of Stoneley's wave attenuation in acoustical well logging
• Higher order energy decay rates for damped wave equations with variable coefficients
• Virtual element methods for hyperbolic problems on polygonal meshes
• Some error analysis on virtual element methods
• Finite element methods for non-Fourier thermal wave model of bio heat transfer with an interface
• A virtual element method for the wave equation on curved edges in two dimensions
• Convergence of finite element methods for hyperbolic heat conduction model with an interface
• Virtual Element Method for general second-order elliptic problems on polygonal meshes
• Virtual element methods for parabolic problems on polygonal meshes
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Virtual element method for second-order elliptic eigenvalue problems
• Conforming and nonconforming virtual element methods for elliptic problems
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• The Hitchhiker's Guide to the Virtual Element Method
• A High Order Compact Scheme for a Thermal Wave Model of Bio-Heat Transfer with an Interface

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