Enriched Galerkin finite element approximation for elastic wave propagation in fractured media

DOI10.1016/j.jcp.2018.06.049zbMath1415.65232OpenAlexW2808821084MaRDI QIDQ2000462

Mrinal K. Sen, Janaki Vamaraju, Jonas D. De Basabe, Mary Fanett Wheeler

Publication date: 28 June 2019

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.06.049

zbMATH Keywords

finite element methoda priori error estimatesfractured mediaelastic wave propagationenriched Galerkin methodlinear slip model

Mathematics Subject Classification ID

Seismology (including tsunami modeling), earthquakes (86A15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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An edge multiscale interior penalty discontinuous Galerkin method for heterogeneous Helmholtz problems with large varying wavenumber ⋮ Grid-characteristic method using chimera meshes for simulation of elastic waves scattering on geological fractured zones ⋮ An enriched Galerkin method for the Stokes equations ⋮ Convergence of a continuous Galerkin method for hyperbolic-parabolic systems

Cites Work

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• Higher-order finite elements with mass-lumping for the 1D wave equation
• Coupled discontinuous and continuous Galerkin finite element methods for the depth-integrated shallow water equations.
• Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
• Building blocks for arbitrary high order discontinuous Galerkin schemes
• Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• Stability analysis of discontinuous Galerkin approximations to the elastodynamics problem
• A Locally Conservative Enriched Galerkin Approximation and Efficient Solver for Elliptic and Parabolic Problems
• The extended/generalized finite element method: An overview of the method and its applications
• A Locally Conservative Finite Element Method Based on Piecewise Constant Enrichment of the Continuous Galerkin Method
• Elastic wave behavior across linear slip interfaces
• An Elliptic Collocation-Finite Element Method with Interior Penalties
• On the construction of blending elements for local partition of unity enriched finite elements
• A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
• Discontinuous Galerkin Finite Element Method for the Wave Equation