New HDG methods for poroelastic waves achieve strongly symmetric stress approximation, robust convergence for nearly incompressible materials, and optimal rates with error analysis for semidiscrete and Crank-Nicolson schemes.
S´ anchez, Bernardo Cockburn, Ngoc-Cuong Nguyen, and Jaime Peraire,Symplec- tic Hamiltonian finite element methods for linear elastodynamics, Comput
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Hybridizable discontinuous Galerkin methods for poroelastic wave propagation with symmetric stress approximation
New HDG methods for poroelastic waves achieve strongly symmetric stress approximation, robust convergence for nearly incompressible materials, and optimal rates with error analysis for semidiscrete and Crank-Nicolson schemes.