Results 41 to 50 of about 19,580 (197)
Efficient Operator-Coarsening Multigrid Schemes for Local Discontinuous Galerkin Methods [PDF]
SIAM Journal on Scientific Computing, 2019 An efficient $hp$-multigrid scheme is presented for local discontinuous Galerkin (LDG) discretizations of elliptic problems, formulated around the idea of separately coarsening the underlying discrete gradient and divergence operators. We show that traditional multigrid coarsening of the primal formulation leads to poor and suboptimal multigrid ...
Fortunato, Daniel +2 more
openaire +5 more sources
A Simple and Robust Shock-Capturing Approach for Discontinuous Galerkin Discretizations
Energies, 2019 The discontinuous Galerkin (DG) method has become popular in Computational Fluid Dynamics mainly due to its ability to achieve high-order solution accuracy on arbitrary grids, its high arithmetic intensity (measured as the ratio of the number of floating
Jae Hwan Choi +2 more
doaj +1 more source
Rapid City‐Scale Earthquake Assessment by Combining Numerical Simulation and Sparse Sensing
Earthquake Spectra, Volume 42, Issue 2, May 2026.This study proposes a framework to assess the seismic risk by integrating city‐scale numerical simulations with sensor data prediction. The study begins with advanced numerical simulations using two primary methods: the integrated earthquake simulator (IES) and the stochastic Green's function method.
Dongyang Tang +9 more
wiley +1 more source
HP-multigrid as smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows. Part II. Optimization of the Runge-Kutta smoother [PDF]
, 2011 Using a detailed multilevel analysis of the complete hp-Multigrid as Smoother algorithm accurate predictions are obtained of the spectral radius and operator norms of the multigrid error transformation operator.
Rhebergen, S., Vegt, J.J.W. van der
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 448-468, April 2026.The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault +6 more
wiley +1 more source
Convergence Analysis of the Lowest Order Weakly Penalized Adaptive Discontinuous Galerkin Methods [PDF]
, 2012 In this article, we prove convergence of the weakly penalized adaptive discontinuous Galerkin methods. Unlike other works, we derive the contraction property for various discontinuous Galerkin methods only assuming the stabilizing parameters are large ...
Gudi, Thirupathi, Guzmán, Johnny
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 492-509, April 2026.This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley +1 more source
A curved-element unstructured discontinuous Galerkin method on GPUs for the Euler equations
, 2012 In this work we consider Runge-Kutta discontinuous Galerkin methods (RKDG) for the solution of hyperbolic equations enabling high order discretization in space and time. We aim at an efficient implementation of DG for Euler equations on GPUs.
Schmidt, S., Schulz, V., Siebenborn, M.
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International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 5, Page 2648-2669, 10 April 2026.ABSTRACT This study presents large deformation computational methods to simulate lateral vehicular impacts on steel piles in granular soil. Soil‐mounted longitudinal barrier systems rely on energy dissipation in both the piles and the surrounding soil to safely redirect errant vehicles, so dynamic pile‐soil interaction is important for design ...
Tewodros Y. Yosef +6 more
wiley +1 more source
Explicit local time-stepping methods for time-dependent wave propagation [PDF]
, 2012 Semi-discrete Galerkin formulations of transient wave equations, either with conforming or discontinuous Galerkin finite element discretizations, typically lead to large systems of ordinary differential equations.
Grote, Marcus, Mitkova, Teodora
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