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Construction and convergence analysis of conservative second order local time discretisation for linear wave equations

https://doi.org/10.1051/m2an/2021030

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Influence of Gauss and Gauss‐Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain

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Stability of Explicit–Implicit Hybrid Time-Stepping Schemes for Maxwell's Equations

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Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications

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Higher Order Time Stepping for Second Order Hyperbolic Problems and Optimal CFL Conditions

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Discretization Methods and Iterative Solvers Based on Domain Decomposition

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Higher-Order Numerical Methods for Transient Wave Equations

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Inf-sup conditions for the mortar spectral element discretization of the Stokes problem

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A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part II: Analysis

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Higher-order finite elements with mass-lumping for the 1D wave equation

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Optimized higher order time discretization of second order hyperbolic problems: Construction and numerical study

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Explicit local time-stepping methods for Maxwell’s equations

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Space–time mesh refinement for elastodynamics. Numerical results

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A discontinuous stabilized mortar method for general 3D elastic problems

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Locally implicit discontinuous Galerkin method for time domain electromagnetics

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Convergence results of the fictitious domain method for a mixed formulation of the wave equation with a Neumann boundary condition

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Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell’s equations

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Stabilized leapfrog based local time-stepping method for the wave equation

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An arbitrary high-order Discontinuous Galerkin method for elastic waves on unstructured meshes - V. Local time stepping andp-adaptivity

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An Error Analysis of Conservative Space-Time Mesh Refinement Methods for the One-Dimensional Wave Equation

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Energy Conserving Explicit Local Time Stepping for Second-Order Wave Equations

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Error Analysis of a Second-Order Locally Implicit Method for Linear Maxwell's Equations

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Convergence Analysis of Energy Conserving Explicit Local Time-Stepping Methods for the Wave Equation

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On Leapfrog-Chebyshev Schemes

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Mathematical and Numerical Study of Transient Wave Scattering by Obstacles with a New Class of Arlequin Coupling

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Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation

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A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier

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Space Time Mesh Refinement Methods

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A Spurious-Free Space-Time Mesh Refinement for Elastodynamics

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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