Results 21 to 30 of about 102,481 (112)
The discontinuous Petrov–Galerkin method
Acta NumericaThe discontinuous Petrov–Galerkin (DPG) method is a Petrov–Galerkin finite element method with test functions designed for obtaining stability. These test functions are computable locally, element by element, and are motivated by optimal test functions which attain the supremum in an inf-sup condition.
Leszek F. Demkowicz, Jay Gopalakrishnan
openaire +1 more source
High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows [PDF]
arXiv.org, 2015 In this paper we present an efficient discretization method for the solution of the unsteady incompressible Navier–Stokes equations based on a high order (Hybrid) Discontinuous Galerkin formulation.
C. Lehrenfeld, J. Schöberl
semanticscholar +1 more source
Adaptive discontinuous Galerkin methods on surfaces [PDF]
Numerische Mathematik, 2015 26 pages, 11 figures.
Andreas Dedner, Pravin Madhavan
openaire +4 more sources
Discontinuous Galerkin Methods for the Ostrovsky–Vakhnenko Equation [PDF]
Journal of Scientific Computing, 2020 In this paper, we develop discontinuous Galerkin (DG) methods for the Ostrovsky-Vakhnenko (OV) equation, which yields the shock solutions and singular soliton solutions, such as peakon, cuspon and loop solitons. The OV equation has also been shown to have a bi-Hamiltonian structure.
Qian Zhang 0056, Yinhua Xia
openaire +2 more sources
Modeling proppant transport and settling in a 3D propagating fracture
Deep Underground Science and Engineering, EarlyView.A versatile multiphysics tool is presented for simulating the complex processes involved in hydraulic fracturing treatments. The model couples fracture opening and propagation, variable‐density slurry flow, and proppant particle transport within the multiphysics object‐oriented simulation environment framework, based on two‐phase mixture equations and ...
Robert Egert +2 more
wiley +1 more source
Revealing the Resonant Physics of Open Photonic Time Crystals
Laser &Photonics Reviews, EarlyView.ABSTRACT Photonic time crystals (PTCs) are media whose permittivity is modulated periodically in time, enabling momentum bandgaps and parametric amplification of light. Their realization at the nanoscale can revolutionize the study of light‐matter interactions.
Adrià Canós Valero +5 more
wiley +1 more source
A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei +3 more
wiley +1 more source
Polymer Composites, EarlyView.Post‐buckling torsional response of carbon fiber (a) and intraply carbon/aramid hybrid (b) composites, revealing yarn‐level interaction beyond macro‐scale modeling limits. ABSTRACT This study investigates the buckling and post‐buckling performance of Carbon Fiber Reinforced Epoxy (CFRE) and intraply Carbon/Aramid Fabric Reinforced Epoxy (C/AFRE ...
G. E. Guloglu, B. Akış
wiley +1 more source
Volume Quantization with Flexible Singularities for Hexahedral Meshing
Computer Graphics Forum, EarlyView.Abstract We present a novel algorithm for quantization and subsequent hexahedral mesh generation from seamless volumetric maps. Quantization is the process of choosing integers that represent the numbers of hexahedral elements to be placed in each region of the volume, and transforming the seamless map into an integer‐grid map matching that choice ...
H. Brückler, M. Campen
wiley +1 more source
An Introduction to the Hybridizable Discontinuous Galerkin Method [PDF]
, 2021 This chapter in intended to be a didactical introduction to the Hybridizable Discontinuous Galerkin (HDG) method, including the formulation and its implementation. The Laplace and Stokes equations are considered as representative problems with self-adjoint operators, accounting for the incompressibility in the second one.
openaire +2 more sources