Results 51 to 60 of about 16,319,430 (163)

Stochastic Galerkin and Monte Carlo Methods for Parabolic Problems: Numerical Performance of Variational Matrix‐Free Approximations

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor   +2 more
wiley   +1 more source

Application of a Discontinuous Galerkin Method to Predict Airframe Noise [PDF]

open access: yes, 2009
Unstructured grids greatly ease the mesh generation process in the case of complex geometries. The Discontinuous Galerkin Method (DGM) provides a robust, high-order accurate discretization even on this type of grid.
Marcus Bauer   +5 more
core   +1 more source

Edge‐Based Discretizations on Triangulations in Any Dimension, With Special Attention to Four‐Dimensional Space

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 10, Page 1143-1164, October 2026.
This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro   +2 more
wiley   +1 more source

The local discontinuous Galerkin finite element method for Burger’s equation

open access: yesMathematical and Computer Modelling, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Long Shao, Xinlong Feng, Yinnian He
openaire   +2 more sources

Slat Noise Prediction using Discontinuous Galerkin Method and Stochastic Turbulent Sound Source [PDF]

open access: yes, 2010
A promising way to predict airframe noise is the numerical solution of the Acoustic Perturbation Equations (APE) with the help of the Discontinuous Galerkin Method (DGM) and the Fast Random Particle Mesh (FRPM) method.
Marcus Bauer   +3 more
core   +1 more source

Multi-GPU numerical simulation of electromagnetic waves*

open access: yesESAIM: Proceedings and Surveys, 2014
In this paper we present three-dimensional numerical simulations of electromagnetic waves. The Maxwell equations are solved by the Discontinuous Galerkin (DG) method.
Helluy Philippe, Strub Thomas
doaj   +1 more source

Multiphysics Simulation of Positive Streamer Discharge in Air Using Finite Element Method

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.
ABSTRACT Streamer discharge modeling by means of the Finite Element Method (FEM) presents a formidable challenge in computational physics due to its nonlinear and convection‐dominated characteristics that cause numerical instabilities, including negative densities of charged particles.
Hasupama Jayasinghe   +3 more
wiley   +1 more source

Local discontinuous Galerkin method for phase transition problems [PDF]

open access: yes, 2015
In this thesis we develop a local discontinuous Galerkin (LDG) finite element method to solve mathematical models for phase transitions in solids and fluids. The first model we study is called a viscosity-capillarity (VC) system associated with phase transitions in elastic bars and Van der Waals fluids.
openaire   +1 more source

Locally implicit discontinuous Galerkin method for time domain electromagnetics [PDF]

open access: yesJournal of Computational Physics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dolean Maini, Victorita   +3 more
openaire   +5 more sources

WENO schemes for multidimensional nonlinear degenerate parabolic PDEs [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2018
In this paper, a scheme is presented for approximating solutions of non linear degenerate parabolic equations which may contain discontinuous solutions.
R. Abedian
doaj   +1 more source

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