Optimal Discontinuous Galerkin Methods for Wave Propagation

From MaRDI portal
Publication:5422480

DOI10.1137/050641193zbMath1158.65337OpenAlexW2052372846MaRDI QIDQ5422480

Björn Engquist, Eric T. Chung

Publication date: 22 October 2007

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://resolver.caltech.edu/CaltechAUTHORS:CHUsiamjco06




Related Items

The a Posteriori Error Estimator of SDG Method for Variable Coefficients Time-Harmonic Maxwell's EquationsA uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problemA-posteriori error analysis for a staggered discontinuous Galerkin discretization of the time-harmonic Maxwell's equationsA superconvergent local discontinuous Galerkin method for the second-order wave equation on Cartesian gridsA priori and a posteriori error analysis of a staggered discontinuous Galerkin method for convection dominant diffusion equationsMixed GMsFEM for the simulation of waves in highly heterogeneous mediaAn efficient ADER-DG local time stepping scheme for 3D HPC simulation of seismic waves in poroelastic mediaA staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equationsA hybrid staggered discontinuous Galerkin method for KdV equationsAn adaptive staggered discontinuous Galerkin method for the steady state convection-diffusion equationStaggered discontinuous Galerkin methods for the incompressible Navier-Stokes equationsGuaranteed a posteriori error estimates for a staggered discontinuous Galerkin methodHybrid high-order methods for the acoustic wave equation in the time domainA BDDC algorithm for a class of staggered discontinuous Galerkin methodsA staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: a priori and a posteriori analysisFinite element approximations of a class of nonlinear stochastic wave equations with multiplicative noiseA staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshesA New Discontinuous Galerkin Formulation for Wave Equations in Second-Order FormA staggered discontinuous Galerkin method for quasi-linear second order elliptic problems of nonmonotone typeOptimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous mediaGeneralized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic mediaFETI-DP preconditioners for a staggered discontinuous Galerkin formulation of the two-dimensional Stokes problemDiscontinuous Galerkin methods with staggered hybridization for linear elastodynamicsOptimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterialsA high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic mediaA new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limitsInterior penalty discontinuous Galerkin method for Maxwell's equations: energy norm error estimatesA Staggered Discontinuous Galerkin Method of Minimal Dimension on Quadrilateral and Polygonal MeshesConstraint energy minimizing generalized multiscale discontinuous Galerkin methodSPEED: SPectral Elements in Elastodynamics with Discontinuous Galerkin: a non-conforming approach for 3D multi-scale problemsAn adaptive discontinuous Galerkin method for the Darcy system in fractured porous mediaA deluxe FETI-DP algorithm for a hybrid staggered discontinuous Galerkin method for H(curl)-elliptic problemsA hybrid discontinuous in space and time Galerkin method for wave propagation problemsOnline Adaptive Algorithm for Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin MethodA ray-based IPDG method for high-frequency time-domain acoustic wave propagation in inhomogeneous mediaAccuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger EquationsDiscontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other MethodsAnalysis of an SDG Method for the Incompressible Navier--Stokes EquationsAccurate seabed modeling using finite difference methodsStaggered discontinuous Galerkin methods for the Helmholtz equation with large wave numberEnergy conserving Galerkin approximation of two dimensional wave equations with random coefficientsStaggered DG Methods for the Pseudostress-Velocity Formulation of the Stokes Equations on General MeshesArbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticityA partially staggered discontinuous Galerkin method for transient electromagneticsA discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equationsA high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshesFinite Element Analysis in Fluid MechanicsUnnamed ItemA space-time discontinuous Galerkin method for the solution of the wave equation in the time domainStaggered DG Method for Coupling of the Stokes and Darcy--Forchheimer ProblemsA Staggered Cell-Centered DG Method for Linear Elasticity on Polygonal MeshesA staggered discontinuous Galerkin method for elliptic problems on rectangular gridsA mass conservative scheme for fluid-structure interaction problems by the staggered discontinuous Galerkin methodA staggered DG method of minimal dimension for the Stokes equations on general meshesAn Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave EquationTime-Lapse 3-D Seismic Wave Simulation via the Generalized Multiscale Finite Element MethodConvergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell's equations on Cartesian gridsMortar DG Method with Staggered Hybridization for Rayleigh Waves SimulationIsogeometric Analysis with Proper Orthogonal Decomposition for ElastodynamicsA new family of fourth-order locally one-dimensional schemes for the 3D elastic wave equationSuperconvergence of the local discontinuous galerkin method applied to the one‐dimensional second‐order wave equationPre-asymptotic error analysis of \(hp\)-interior penalty discontinuous Galerkin methods for the Helmholtz equation with large wave numberMortar formulation for a class of staggered discontinuous Galerkin methodsHigh-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamicsDiscontinuous Galerkin method with staggered hybridization for a class of nonlinear Stokes equationsUnnamed ItemConvergence analysis of hybrid high-order methods for the wave equationA staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshesA new family of fourth-order locally one-dimensional schemes for the three-dimensional wave equationA BDDC algorithm with adaptive primal constraints for staggered discontinuous Galerkin approximation of elliptic problems with highly oscillating coefficientsEfficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problemsIsogeometric numerical dispersion analysis for two-dimensional elastic wave propagationA new hybrid staggered discontinuous Galerkin method on general meshesℎ𝑝-Discontinuous Galerkin methods for the Helmholtz equation with large wave number$L^2$ stable discontinuous Galerkin methods for one-dimensional two-way wave equationsAN ENERGY-CONSERVING DISCONTINUOUS MULTISCALE FINITE ELEMENT METHOD FOR THE WAVE EQUATION IN HETEROGENEOUS MEDIAOptimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshesStaggered DG method with small edges for Darcy flows in fractured porous mediaA novel staggered semi-implicit space-time discontinuous Galerkin method for the incompressible Navier-Stokes equationsHermite-discontinuous Galerkin overset grid methods for the scalar wave equationGeneralized Multiscale Finite Element Methods for Wave Propagation in Heterogeneous MediaStaggered-grid spectral element methods for elastic wave simulationsStability of High-Order Finite-Difference Schemes for Poroelastic Wave SimulationA pressure robust staggered discontinuous Galerkin method for the Stokes equations




This page was built for publication: Optimal Discontinuous Galerkin Methods for Wave Propagation