Results 41 to 50 of about 21,729 (184)

Non-modal analysis of spectral element methods: Towards accurate and robust large-eddy simulations [PDF]

, 2018
We introduce a \textit{non-modal} analysis technique that characterizes the diffusion properties of spectral element methods for linear convection-diffusion systems.
Fernandez, Pablo, Mengaldo, Gianmarco, Moura, Rodrigo, Peraire, Jaime   +3 more
core   +2 more sources

Discontinuous Galerkin Methods with Trefftz Approximation

, 2013
We present a novel Discontinuous Galerkin Finite Element Method for wave propagation problems. The method employs space-time Trefftz-type basis functions that satisfy the underlying partial differential equations and the respective interface boundary ...
Kretzschmar, Fritz, Schnepp, Sascha, Tsukerman, Igor, Weiland, Thomas   +3 more
core   +1 more source

Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes [PDF]

, 2016
We present a new family of high order accurate fully discrete one-step Discontinuous Galerkin (DG) finite element schemes on moving unstructured meshes for the solution of nonlinear hyperbolic PDE in multiple space dimensions, which may also include ...
Boscheri, Walter, Dumbser, Michael
core   +2 more sources

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

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

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

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 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

Pricing European and American Options under Heston Model using Discontinuous Galerkin Finite Elements

, 2020
This paper deals with pricing of European and American options, when the underlying asset price follows Heston model, via the interior penalty discontinuous Galerkin finite element method (dGFEM).
Karasözen, Bülent, Kozpınar, Sinem, Uzunca, Murat   +2 more
core   +1 more source

Multi‐Goal‐Oriented Anisotropic Error Control and Mesh Adaptivity for Time‐Dependent Convection‐Dominated Problems

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, Marius Paul Bruchhäuser, Bernhard Endtmayer, Nils Margenberg, Ioannis Toulopoulos, Thomas Wick   +5 more
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