Results 61 to 70 of about 16,319,430 (163)
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
Local discontinuous Galerkin method for the integral fractional Laplacian
CoRRWe develop and analyze a local discontinuous Galerkin (LDG) method for solving integral fractional Laplacian problems on bounded Lipschitz domains. The method is based on a three-field mixed formulation involving the primal variable, its gradient, and the corresponding Riesz potential, yielding a flux-based structure well suited for LDG discretizations
Rubing Han, Shuonan Wu, Hao Zhou
openaire +3 more sources
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
On the Application of the Discontinuous Galerkin Method to Turbomachinery Flows [PDF]
, 2012 This article describes the development of a Discontinuous Galerkin (DG) solver for 2D Euler flows with special emphasis on the implementation of robust and accurate boundary conditions for turbomachinary applications.
Ashcroft, Graham +2 more
core
The Journal of Engineering, 2022 A time‐domain numerical methodology for the transient analysis of multisection waveguide power dividers is proposed. Waveguide power dividers are essential components of microwave systems for high‐power applications.
Homa Arab +2 more
doaj +1 more source
DG-GMsFEM for Problems in Perforated Domains with Non-Homogeneous Boundary Conditions
Computation, 2021 Problems in perforated media are complex and require high resolution grid construction to capture complex irregular perforation boundaries leading to the large discrete system of equations. In this paper, we develop a multiscale model reduction technique
Valentin Alekseev +3 more
doaj +1 more source
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 Analysis of Higher Order Discontinuous Galerkin Finite Element Methods [PDF]
, 2008 After the introduction in Section 1 this lecture starts off with recalling well-known results from the numerical analysis of the continuous finite element methods.
Hartmann, Ralf
core
Computer Assisted Methods in Engineering and Science, 2017 This paper focuses on the discontinuous Galerkin (DG) method in which the compatibility condition on the mesh skeleton and Dirichlet boundary condition on the outer boundary are enforced with the help of one-dimensional finite difference (FD) rules ...
Jan Jaśkowiec
doaj +1 more source
A Discretization Approach for the Nonlinear Fractional Logistic Equation
Entropy, 2020 The present study aimed to develop and investigate the local discontinuous Galerkin method for the numerical solution of the fractional logistic differential equation, occurring in many biological and social science phenomena.
Mohammad Izadi, Hari M. Srivastava
doaj +1 more source