Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations (Q2827926)

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scientific article; zbMATH DE number 6642382
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Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations
scientific article; zbMATH DE number 6642382

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    Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations (English)
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    21 October 2016
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    wave equations
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    acoustic equation
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    Maxwell equation
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    linear elastodynamics
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    finite elements
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    quadrilaterals
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    hexahedra
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    spectral elements
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    wedges
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    pyramids
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    edge elements
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    \(H(\mathrm{div})\)-elements
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    order mixed elements
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    mass-lumping
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    mixed formulation
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    numerical dispersion
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    numerical dissipation
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    reflection-transmission
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    \(hp\) a-priori error estimate
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    energy identity
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    Hille-Yosida theorem
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    discontinuous Galerkin method
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    plane wave analysis
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    eigenvalue problem
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    interior penalty
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    spurious modes
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    approximation in \(H(\mathbf{Curl},\Omega)\)
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    \(hp\)-projection
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    unbounded domain
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    transparent boundary condition
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    perfectly matched layers
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    time approximation
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    stability of constant time-step schemes
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    local time-stepping
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    symplectic schemes
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    linearized Euler equation
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    linear Cauchy-Poisson problem
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    vibrating thin plates
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    monograph
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