Results 71 to 80 of about 21,729 (184)

A Space-Time Discontinuous Galerkin Trefftz Method for time dependent Maxwell's equations

, 2014
We consider the discretization of electromagnetic wave propagation problems by a discontinuous Galerkin Method based on Trefftz polynomials. This method fits into an abstract framework for space-time discontinuous Galerkin methods for which we can prove ...
Egger, Herbert, Kretzschmar, Fritz, Schnepp, Sascha M., Weiland, Thomas   +3 more
core  

Homogenization With Guaranteed Bounds via Primal‐Dual Physically Informed Neural Networks

International Journal for Numerical Methods in Engineering, Volume 127, Issue 6, 30 March 2026.
ABSTRACT Physics‐informed neural networks (PINNs) have shown promise in solving partial differential equations (PDEs) relevant to multiscale modeling, but they often fail when applied to materials with discontinuous coefficients, such as media with piecewise constant properties. This paper introduces a dual formulation for the PINN framework to improve
Liya Gaynutdinova, Ondřej Rokoš, Martin Doškář, Ivana Pultarová   +3 more
wiley   +1 more source

A Verification Suite of Test Cases for the Barotropic Solver of Ocean Models

Journal of Advances in Modeling Earth Systems
The development of any atmosphere or ocean model warrants a suite of test cases (TCs) to verify its spatial and temporal discretizations, order of accuracy, stability, reproducibility, portability, scalability, etc.
Siddhartha Bishnu, Mark R. Petersen, Bryan Quaife, Joseph Schoonover   +3 more
doaj   +1 more source

Application of Discontinuity Layout Optimization to Metal Shells and Assemblies

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT Discontinuity Layout Optimization (DLO) provides a computationally efficient means of determining collapse loads and associated failure mechanisms across a wide spectrum of plasticity problems. The classical DLO method has focused separately on in‐plane and out‐of‐plane plasticity.
John Valentino, Linwei He, Matthew Gilbert   +2 more
wiley   +1 more source

Stable Model Reduction for Time‐Domain Room Acoustics: A Structure‐Preserving Formulation for Complex Boundaries

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT This work presents novel structure‐preserving formulations for stable model order reduction in the context of time‐domain room acoustics simulations. A solution to address the instability in conventional model order reduction formulations based on the Linearized Euler Equations is derived and validated through numerical experiments.
Satish Bonthu, Hermes Sampedro Llopis, Solvi Thrastarson, Finnur Pind, Runar Unnthorsson   +4 more
wiley   +1 more source

hp-adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems

Computers and Mathematics with Applications, 2019
This work is concerned with the derivation of a robust a posteriori error estimator for a discontinuous Galerkin method discretisation of a linear non-stationary convection-diffusion initial/boundary value problem and with the implementation of a ...
A. Cangiani, E. Georgoulis, Stefano Giani, Stephen Metcalfe   +3 more
semanticscholar   +1 more source

High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows

, 2015
In this paper we present an efficient discretization method for the solution of the unsteady incompressible Navier-Stokes equations based on a high order (Hybrid) Discontinuous Galerkin formulation.
Lehrenfeld, Christoph, Schöberl, Joachim   +1 more
core   +1 more source

Approximate Stability Analysis of Omega‐Stringer Stiffened Composite Panels

Proceedings 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, Christian Mittelstedt   +1 more
wiley   +1 more source

Output‐based mesh optimization for hybridized and embedded discontinuous Galerkin methods

International Journal for Numerical Methods in Engineering, 2019
This paper presents a method for optimizing computational meshes for the prediction of scalar outputs when using hybridized and embedded discontinuous Galerkin (HDG/EDG) discretizations.
K. Fidkowski, Guodong Chen
semanticscholar   +1 more source

Error-Driven Dynamical hp-Meshes with the Discontinuous Galerkin Method for Three-Dimensional Wave Propagation Problems

, 2013
An hp-adaptive Discontinuous Galerkin Method for electromagnetic wave propagation phenomena in the time-domain is proposed. The method is highly efficient and allows for the first time the adaptive full-wave simulation of transient problems in three ...
Schnepp, Sascha M.
core   +1 more source