A dispersion analysis of uniformly high order, interior and boundaries, mimetic finite difference solutions of wave propagation problems

DOI10.1007/s13137-023-00242-9zbMath1530.65140MaRDI QIDQ6191740

Giovanni Calderón, Larry Mendoza, Beatriz Otero, Guillermo Miranda, Jorge Villamizar, Otilio Rojas, José E. Castillo

Publication date: 9 February 2024

Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)

zbMATH Keywords

wave propagationvon Neumann analysismimetic finite differencesnumerical dispersion and stability

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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• Tensor formulation of 3-D mimetic finite differences and applications to elliptic problems
• A new mimetic scheme for the acoustic wave equation
• Compact finite difference modeling of 2-D acoustic wave propagation
• Low dispersive modeling of Rayleigh waves on partly staggered grids
• Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
• A Matrix Analysis Approach to Higher-Order Approximations for Divergence and Gradients Satisfying a Global Conservation Law
• Fourth- and sixth-order conservative finite difference approximations of the divergence and gradient

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