Results 61 to 70 of about 19,580 (197)

hp-Version discontinuous Galerkin finite element methods for semilinear parabolic problems [PDF]

open access: yes, 2003
We consider the hp-version interior penalty discontinuous Galerkin finite element method (hp-DGFEM) for semilinear parabolic equations with mixed Dirichlet and Neumann boundary conditions. Our main concern is the error analysis of the hp--DGFEM on shape--
Lasis, Andris, Suli, Endre
core   +3 more sources

Space-time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting

open access: yes, 2015
In this paper we present a novel arbitrary high order accurate discontinuous Galerkin (DG) finite element method on space-time adaptive Cartesian meshes (AMR) for hyperbolic conservation laws in multiple space dimensions, using a high order \aposteriori ...
Dumbser, Michael   +3 more
core   +1 more source

Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

open access: yesAdvances in Applied Mathematics and Mechanics
34 ...
Liu, Dong, Deng, Weihua
openaire   +2 more sources

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   +3 more sources

Three‐Dimensional Simulation of Crack Initiation in ice Shelves at Pinning Points

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT Ice shelves are large ice masses floating on the ocean that are still connected to the inland ice of a glacier. Due to high elevations in the bathymetry, the ice shelf can be partially grounded. These areas are called ice rises that act as pinning points.
Rabea Sondershaus   +2 more
wiley   +1 more source

Approximate Stability Analysis of Omega‐Stringer Stiffened Composite Panels

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT Thin‐walled composite structures are widely used in weight‐critical applications such as aircraft and spacecraft. However, ensuring the stability of such structures under various load cases remains a key challenge in their design and optimization.
Cherine El Yaakoubi‐Mesbah   +1 more
wiley   +1 more source

High-Order Energy and Linear Momentum Conserving Methods for the Klein-Gordon Equation

open access: yesMathematics, 2018
The Klein-Gordon equation is a model for free particle wave function in relativistic quantum mechanics. Many numerical methods have been proposed to solve the Klein-Gordon equation. However, efficient high-order numerical methods that preserve energy and
He Yang
doaj   +1 more source

Smooth and compactly supported viscous sub-cell shock capturing for Discontinuous Galerkin methods

open access: yes, 2018
In this work, a novel artificial viscosity method is proposed using smooth and compactly supported viscosities. These are derived by revisiting the widely used piecewise constant artificial viscosity method of Persson and Peraire as well as the piecewise
Almeida, J. L. S.   +4 more
core   +1 more source

The Climate Modeling Alliance Atmosphere Dynamical Core: Concepts, Numerics, and Scaling

open access: yesJournal of Advances in Modeling Earth Systems, Volume 18, Issue 3, March 2026.
Abstract This paper presents the dynamical core of the Climate Modeling Alliance (CliMA) atmosphere model, designed for efficient simulation of a wide range of atmospheric flows across scales. The core uses the nonhydrostatic equations of motion for a deep atmosphere, discretized with a hybrid approach that combines a spectral element method (SEM) in ...
Dennis Yatunin   +18 more
wiley   +1 more source

The Application of Discontinuous Galerkin Methods in Conjugate Heat Transfer Simulations of Gas Turbines

open access: yesEnergies, 2014
The performance of modern heavy-duty gas turbines is greatly determined by the accurate numerical predictions of thermal loading on the hot-end components.
Zeng-Rong Hao   +2 more
doaj   +1 more source

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