Results 21 to 30 of about 367,212 (211)

A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations [PDF]

open access: yes, 2007
In this paper we consider the numerical solution of first-order Hamilton-Jacobi equations using the combination of a discontinuous Galerkin finite element method and an adaptive $r$-refinement (mesh movement) strategy.
MacKenzie, John, Nicola, Aurelian
core   +4 more sources

Compact and stable discontinuous Galerkin methods for convection-diffusion problems [PDF]

open access: yes, 2012
We present a new scheme, the compact discontinuous Galerkin 2 (CDG2) method, for solving nonlinear convection-diffusion problems together with a detailed comparison to other well-accepted DG methods.
Dedner, A.   +3 more
core   +1 more source

A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations [PDF]

open access: yes, 2013
An extension of the local projection stabilization (LPS) finite element method for convection-diffusion-reaction equations is presented and analyzed, both in the steadystate and the transient setting.
Volker, John   +2 more
core   +2 more sources

L2-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

open access: yesJournal of Inequalities and Applications, 2010
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Hyun Young Lee   +2 more
doaj   +1 more source

Convergence of the Galerkin method in the problem of electromagnetic wave diffraction on a system of solids and curvilinear screens

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023
Background. The purpose of this study is to prove the convergence of the projection method in the problem of diffraction of electromagnetic waves by scatterers of a complex shape. Material and methods.
Aleksey A. Tsupak
doaj   +1 more source

Interior penalty discontinuous galerkin methods for electromagnetic and acoustic wave equations [PDF]

open access: yes, 2006
Introduction: In this thesis we present and analyze the numerical approximation of the second order electromagnetic and acoustic wave equation by the interior penalty (IP) discontinuous Galerkin (DG) finite element method (FEM).
Schneebeli, Anna
core   +1 more source

On the Peculiarities of Solving the Coefficient Inverse Problem of Heat Conduction for a Two-Part Layer [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2019
The coefficient inverse problem of thermal conductivity about the determination of the thermophysical characteristics of the functional-gradient part of a two-component layer is posed.
Vatulyan, Alexandr Ovanesovitsch   +1 more
doaj   +1 more source

BUQEYE guide to projection-based emulators in nuclear physics

open access: yesFrontiers in Physics, 2023
The BUQEYE collaboration (Bayesian Uncertainty Quantification: Errors in Your effective field theory) presents a pedagogical introduction to projection-based, reduced-order emulators for applications in low-energy nuclear physics.
C. Drischler   +5 more
doaj   +1 more source

Space-Time Galerkin Projection of Electro-Magnetic Fields

open access: yesCoRR, 2015
Spatial Galerkin projection transfers fields between different meshes. In the area of finite element analysis of electromagnetic fields, it provides great convenience for remeshing, multi-physics, domain decomposition methods, etc. In this paper, a space-time Galerkin projection is developed in order to transfer fields between different spatial and ...
Zifu Wang   +2 more
openaire   +2 more sources

Breaking the Kolmogorov Barrier in Model Reduction of Fluid Flows

open access: yesFluids, 2020
Turbulence modeling has been always a challenge, given the degree of underlying spatial and temporal complexity. In this paper, we propose the use of a partitioned reduced order modeling (ROM) approach for efficient and effective approximation of ...
Shady E. Ahmed, Omer San
doaj   +1 more source

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