Results 41 to 50 of about 19,690 (191)
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
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Generalized Multiscale Finite Element Method for Elasticity Equations
, 2014 In this paper, we discuss the application of Generalized Multiscale Finite Element Method (GMsFEM) to elasticity equation in heterogeneous media. Our applications are motivated by elastic wave propagation in subsurface where the subsurface properties can
Chung, Eric T. +2 more
core +1 more source
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
International Journal for Numerical Methods in Fluids, Volume 98, Issue 6, Page 709-730, June 2026.We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
wiley +1 more source
A Comparison of Hybridized and Standard DG Methods for Target-Based hp-Adaptive Simulation of Compressible Flow [PDF]
, 2013 We present a comparison between hybridized and non-hybridized discontinuous Galerkin methods in the context of target-based hp-adaptation for compressible flow problems.
Balan, Aravind +3 more
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT In this work, we present an anisotropic multi‐goal error control based on the dual weighted residual (DWR) method for time‐dependent convection–diffusion–reaction (CDR) equations. Motivated by former work, we combine multiple goals to single error functionals with weights chosen as algorithmic parameters.
Markus Bause +5 more
wiley +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
Asperity‐Driven Cascading Rupture of a Mw 1.6 Induced Microearthquake
Geophysical Research Letters, Volume 53, Issue 8, 28 April 2026.Abstract Studies of small earthquake (M < 2) rupture processes traditionally rely on simplified models that assume symmetric slip or point sources. Using an exceptionally dense seismic network and empirical Green's function (EGF) analysis, we investigate the complex rupture of a Mw 1.6 microearthquake induced by hydraulic fracturing.
Xinxing Chen +3 more
wiley +1 more source
Local discontinuous Galerkin methods for the Stokes system
, 2000 SAM Research Report, 2000 ...
Cockburn, B. +3 more
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The local discontinuous Galerkin finite element method for Burger’s equation
Mathematical and Computer Modelling, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shao, Long, Feng, Xinlong, He, Yinnian
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