Results 41 to 50 of about 21,624 (188)

An advection-robust Hybrid High-Order method for the Oseen problem [PDF]

, 2018
In this work, we study advection-robust Hybrid High-Order discretizations of the Oseen equations. For a given integer $k\ge 0$, the discrete velocity unknowns are vector-valued polynomials of total degree $\le k$ on mesh elements and faces, while the ...
Aghili, Joubine, Di Pietro, Daniele A.
core   +4 more sources

Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisations of the Maxwell equations [PDF]

, 2007
Different time-stepping methods for a nodal high-order discontinuous Galerkin discretisation of the Maxwell equations are discussed. A comparison between the most popular choices of Runge-Kutta (RK) methods is made from the point of view of accuracy and ...
Botchev, M.A., Sármány, D., Vegt, J.J.W. van der   +2 more
core   +2 more sources

Efficient Numerical Framework for Geothermal Energy Production Optimization in Fracture‐Controlled Reservoirs

International Journal for Numerical Methods in Fluids, EarlyView.
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

Discontinuous Galerkin approximations in computational mechanics: hybridization, exact geometry and degree adaptivity [PDF]

, 2019
Discontinuous Galerkin (DG) discretizations with exact representation of the geometry and local polynomial degree adaptivity are revisited. Hybridization techniques are employed to reduce the computational cost of DG approximations and devise the ...
Giacomini, Matteo, Sevilla Cárdenas, Rubén   +1 more
core   +2 more sources

Space‐Time FEM Solution of Dynamic Contact Problem With Discontinuous Velocity for Multiple Impact of Deformed Bar Using PDAS Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko, Adrien Petrov, Yves Renard   +2 more
wiley   +1 more source

A Path-Conservative ADER Discontinuous Galerkin Method for Non-Conservative Hyperbolic Systems: Applications to Shallow Water Equations

Mathematics
In this article, we propose a new path-conservative discontinuous Galerkin (DG) method to solve non-conservative hyperbolic partial differential equations (PDEs).
Xiaoxu Zhao, Baining Wang, Gang Li, Shouguo Qian   +3 more
doaj   +1 more source

On the stability of projection methods for the incompressible Navier-Stokes equations based on high-order discontinuous Galerkin discretizations

, 2017
The present paper deals with the numerical solution of the incompressible Navier-Stokes equations using high-order discontinuous Galerkin (DG) methods for discretization in space.
Fehn, Niklas, Kronbichler, Martin, Wall, Wolfgang A.   +2 more
core   +1 more source

Explicit‐Implicit Material Point Method for Dense Granular Flows With a Novel Regularized µ(I) Model

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT The material point method (MPM) is widely employed to simulate granular flows. Although explicit time integration is favored in most current MPM implementations for its simplicity, it cannot rigorously incorporate the incompressible µ(I)‐rheology, an efficient model ubiquitously adopted in other particle‐based numerical methods. While operator‐
Hang Feng, Zhen‐Yu Yin
wiley   +1 more source

Late-time Instability for UPML and Periodic Boundary in Elongated Multilayer Thin Plate Simulations [PDF]

Radioengineering, 2019
In this article, we examine the late-time instability properties of hybrid boundary conditions in the discontinuous Galerkin time-domain (DGTD) simulations of an elongated multilayer thin plate.
H. P. Li, Y. Wang, Q. S. Cao
doaj  

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
core   +1 more source