White ( 2005 ), A high order mixed vector finite element method for solving the time dependent Maxwell equations on unstructured grids , J. Comput. Phys. , 204 , 490 – 519 .Rieben, R., Rodrigue, G., White, D.:
The spectral/hp element method in particular, which combines the geometric flexibility of classical low-order finite element methods with the attractive convergence properties of spectral discretisations, can yield a number of advantages in this regard. From a numerical analysis perspective, their ...
We present here a novel approach to handling curved meshes in polytopal methods within the framework of hybrid high-order methods. The hybrid high-order method is a modern numerical scheme for the approximation of elliptic PDEs. An extension to curved meshes allows for the strong enforcement of ...
The higher-order guaranteed lower eigenvalue bounds of the Laplacian in the recent work by Carstensen et al. (Numer Math 149(2):273–304, 2021) require a parameterthat is foundnotrobust as the polynomial degreepincreases. This is related to thestability bound of theprojection onto polynomials ...
HFSS solve Maxwell's equations via the finite element method (FEM) using adaptive mesh refinement process for tailored accuracy requirements. The field's solutions are calculated with the metallic (Ag) plasmonic structures being deposited on a homogenous SiO2 substrate. The nanoantenna is illuminated ...
The method belongs to the class of Monotonic Upstream-centered Scheme for Conservation Law (MUSCL) suggested by van Leer in 1973, and the KT scheme is second-order accurate in space. To achieve second-order accuracy, one needs to use analytical information on the form of the flux. However,...
One main disadvantage of meshfree methods is that their memory requirement and computational cost are much higher than those of the usual finite element method (FEM). This paper presents an efficient and reliable solver for the large sparse symmetric positive definite (SPD) system resulting from the...
Key words:road engineering; energy harvesting array; uniaxial compression; rutting test; finite element model 34 The Interlaminar Failure Process of Double Asphalt Mixture Under Tensile Failure Liu Kai Hefei University of Technology Abstract In order to quantify the interlaminar failure process of double...
Similar accuracy was obtained for lift and drag. Keywords: NACA64 airfoil; finite-volume method; finite-element method; proper orthogonal decomposition; reduced-order model1. Introduction High-fidelity numerical simulations based on finite-volume (FV) method [1], finite-element (FE) method [2] ...
In this study, we used a finite element method (FEM) to amend analytical calculations of acoustic radiation force (ARF) arising from an imposed standing ultrasound field. First, an acoustic solid interaction (ASI) approach was implemented to calculate the ARF exerted on BPs and resultant ...