Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes

DOI10.1007/S10543-024-01030-ZzbMATH Open1545.65378MaRDI QIDQ6587343

Gouranga Pradhan, Bhupen Deka

Publication date: 14 August 2024

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

variable coefficientsvirtual element methodviscoelastic wave equationsoptimal convergence estimate

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Viscoelastic fluids (76A10) 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)

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