On mathematical and numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods

DOI10.1007/S10013-022-00566-3zbMath1532.65074arXiv2111.02311MaRDI QIDQ6382088

Ilario Mazzieri, Paola Francesca Antonietti, Michele Botti

Publication date: 3 November 2021

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Soil and rock mechanics (74L10) Seismology (including tsunami modeling), earthquakes (86A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Linear constitutive equations for materials with memory (74D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Finite difference and finite volume methods for ordinary differential equations (65L12) PDEs in connection with mechanics of deformable solids (35Q74) PDEs in connection with geophysics (35Q86)

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