Results 41 to 50 of about 102,481 (112)
A Sequential Quadratic Numerical Optimization Technique to Compute Critical Flutter Speeds
International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.ABSTRACT A stable sequential quadratic numerical optimization technique is proposed to compute critical flutter speeds without resorting to complex algebra. The solution of the traditional eigenproblem stated in the frequency domain, and whose complex conjugate eigenvalues provide insights on the stability of the dynamic aeroelastic response, is ...
Alfredo R. de Faria
wiley +1 more source
Coupled Dynamics Between Networks and Fields in Physical Space: A Theoretical Perspective
Annalen der Physik, Volume 538, Issue 9, September 2026.Networks embedded in physical space often communicate through dynamical fields that both mediate and respond to collective behavior. A unified theoretical perspective is presented for these network‐field systems, linking established mathematical frameworks and revealing how feedback between discrete interactions and continuous spatial processes can ...
Alex Arenas +4 more
wiley +1 more source
Penalty‐free discontinuous Galerkin method
International Journal for Numerical Methods in EngineeringAbstractIn this article, we present a new high‐order discontinuous Galerkin (DG) method, in which neither a penalty parameter nor a stabilization parameter is needed. We refer to this method as penalty‐free DG. In this method, the trial and test functions belong to the broken Sobolev space, in which the functions are in general discontinuous on the ...
Jan Jaśkowiec, N. Sukumar
openaire +3 more sources
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 13, Page 5185-5212, September 2026.ABSTRACT This study proposes a novel geometrically regularized gradient‐damage model for simulating dynamic mixed‐mode fracture in orthotropic materials with tension–compression asymmetry. In this model, a thermodynamic framework is formulated by incorporating damage dissipation into internal energy evolution, from which the constitutive relation and ...
Hui Li, Shanyong Wang
wiley +1 more source
Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu +2 more
wiley +1 more source
Hybridized Discontinuous Galerkin Methods for Wave Propagation [PDF]
Journal of Scientific Computing, 2018 We present the recent development of hybridizable and embedded discontinuous Galerkin (DG) methods for wave propagation problems in fluids, solids, and electromagnetism. In each of these areas, we describe the methods, discuss their main features, display numerical results to illustrate their performance, and conclude with bibliography notes.
Pablo Fernández 0002 +4 more
openaire +5 more sources
Accurate and Efficient Data‐Driven Partitioned Scheme for Coupled Heterogeneous Numerical Models
Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT Heterogeneous numerical models (HNMs) combine conventional discretization modules such as finite elements with nonconventional data‐driven and reduced‐order modules. HNMs can improve computational efficiency and enable simulations of multi‐physics systems in which one or more constituent components lack first‐principles descriptions and must ...
Edward Huynh +3 more
wiley +1 more source
Extended hybridizable discontinuous Galerkin method
, 2023 This thesis proposes a new numerical technique: the eXtended Hybridizable Discontinuous Galerkin (X-HDG) Method, to efficiently solve problems including moving boundaries and interfaces. It aims to outperform available methods and improve the results by inheriting favored properties of Discontinuous Galerkin (HDG) together with an explicit interface ...
openaire +4 more sources
Discontinuous Galerkin Methods for the Vlasov--Maxwell Equations [PDF]
SIAM Journal on Numerical Analysis, 2014 Discontinuous Galerkin methods are developed for solving the Vlasov-Maxwell system, methods that are designed to be systematically as accurate as one wants with provable conservation of mass and possibly total energy. Such properties in general are hard to achieve within other numerical method frameworks for simulating the Vlasov-Maxwell system.
Yingda Cheng +3 more
openaire +2 more sources
Rothe Time Discretization and Weak Solutions for a Cutoff Westervelt System
Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACTWe study a fully implicit Rothe time discretization for a cutoff first‐order formulation of the Westervelt equation. The key ingredients are the enthalpy variable and the primitive mobility variable, which turn each nonlinear time step into a uniformly monotone elliptic problem and avoid higher‐order energy estimates and inverse inequalities ...
Marvin Fritz
wiley +1 more source