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This paper presents a multicomponent topology optimization method for designing structures assembled from additively-manufactured components, considering anisotropic material behavior for each component due to its build orientation,…

Computational Engineering, Finance, and Science · Computer Science 2019-11-26 Yuqing Zhou , Tsuyoshi Nomura , Kazuhiro Saitou

Aerial manipulation (AM) expands UAV capabilities beyond passive observation to contact-based operations at high altitudes and in otherwise inaccessible environments. Although recent advances show promise, most AM systems are developed in…

Robotics · Computer Science 2026-03-10 Yiming Zhang , Junyi Geng

This paper investigates the effects of geometric nonlinearity and structural flexibility on the flight dynamics of high-aspect-ratio wings representative of high-altitude long endurance aircraft configurations. A coupled aeroelastic flight…

Computational Engineering, Finance, and Science · Computer Science 2026-04-16 Nikolaos D. Tantaroudas , Ilias Karachalios

A new topography adapted mesh generation process tailored to simulate Atmospheric Boundary Layer (ABL) flows on complex terrains is presented. The mesher is fully automatic given: the maximum and minimum surface mesh size, the size of the…

Numerical Analysis · Mathematics 2022-06-16 Abel Gargallo-Peiró , Matias Avila , Arnau Folch

Anisotropic mesh quality measures and anisotropic mesh adaptation are studied for polygonal meshes. Three sets of alignment and equidistribution measures are developed, one based on least squares fitting, one based on generalized…

Numerical Analysis · Mathematics 2020-04-30 Weizhang Huang , Yanqiu Wang

Mesh adaption procedures for finite element approximation allows one to adapt the resolution, by local refinement in the regions of strong variation of the function of interest. This procedure plays a key role in numerous applications of…

Numerical Analysis · Mathematics 2015-03-17 Jean-Marie Mirebeau

Complete control of electromagnetic fields requires particles that exhibit bianisotropic constituent parameters (i.e. permittivity, permeability, and chirality). Here, methods to analyze and synthesize two-dimensional, bianisotropic…

Optics · Physics 2014-04-18 Carl Pfeiffer , Anthony Grbic

This note deals with the boundary control problem of a nonhomogeneous flexible wing evolving under unsteady aerodynamic loads. The wing is actuated at its tip by flaps and is modeled by a distributed parameter system consisting of two…

Optimization and Control · Mathematics 2019-02-15 Hugo Lhachemi , David Saussié , Guchuan Zhu

The main drawback for the application of the conforming Argyris FEM is the labourious implementation on the one hand and the low convergence rates on the other. If no appropriate adaptive meshes are utilised, only the convergence rate…

Numerical Analysis · Mathematics 2022-07-21 Benedikt Gräßle

We investigate the effect of wing twist flexibility on lift and efficiency of a flapping-wing micro air vehicle capable of liftoff. Wings used previously were chosen to be fully rigid due to modeling and fabrication constraints. However,…

Fluid Dynamics · Physics 2020-02-03 David Colmenares , Randall Kania , Wang Zhang , Metin Sitti

Acoustic wave propagation through a homogeneous material embedded in an unbounded medium can be formulated as a boundary integral equation and accurately solved with the boundary element method. The computational efficiency deteriorates at…

Numerical Analysis · Mathematics 2024-02-21 Elwin van 't Wout

Multiphase flows are an important class of fluid flow and their study facilitates the development of diverse applications in industrial, natural, and biomedical systems. We consider a model that uses a continuum description of both phases…

Fluid Dynamics · Physics 2025-08-04 Bindi M. Nagda , Aaron Barrett , Boyce E. Griffith , Aaron L. Fogelson , Jian Du

This article investigates adaptive mesh refinement procedures for the time-domain wave equation with Neumann boundary conditions, formulated as an equivalent hypersingular boundary integral equation. Space-adaptive and time-adaptive…

Numerical Analysis · Mathematics 2025-08-28 Alessandra Aimi , Giulia Di Credico , Heiko Gimperlein , Chiara Guardasoni

Mesh adaptivity is a technique to provide detail in numerical solutions without the need to refine the mesh over the whole domain. Mesh adaptivity in isogeometric analysis can be driven by Truncated Hierarchical B-splines (THB-splines)…

Numerical Analysis · Mathematics 2025-03-20 H. M. Verhelst , A. Mantzaflaris , M. Möller , J. H. Den Besten

Heterogeneous anisotropic diffusion problems arise in the various areas of science and engineering including plasma physics, petroleum engineering, and image processing. Standard numerical methods can produce spurious oscillations when they…

Numerical Analysis · Mathematics 2015-05-18 Xianping Li , Weizhang Huang

Metamaterials and metasurfaces are designed by periodically arranged subwavelength geometries, allowing a tailored manipulation of the electromagnetic response of matter. Here, we exploit temporal variations of permittivity inside…

Optics · Physics 2025-09-24 Victor Pacheco-Peña , Nader Engheta

In this paper, we discuss the accuracy and the robustness of the mixed Virtual Element Methods when dealing with highly-anisotropic diffusion problems. In particular, we analyze the performances of different approaches which are…

Numerical Analysis · Mathematics 2024-12-18 Stefano Berrone , Stefano Scialò , Gioana Teora

We present an application of multi-mesh finite element methods as part of a methodology for optimizing settlement layouts. By formulating a multi-objective optimization problem, we demonstrate how a given number of buildings may be…

Computational Engineering, Finance, and Science · Computer Science 2023-01-31 Anders Logg , Christian Valdemar Lorenzen , Carl Lundholm

We consider within a finite element approach the usage of different adaptively refined meshes for different variables in systems of nonlinear, time-depended PDEs. To resolve different solution behaviours of these variables, the meshes can…

Numerical Analysis · Mathematics 2010-05-27 Thomas Witkowski , Axel Voigt

Finite element methods based on cut-cells are becoming increasingly popular because of their advantages over formulations based on body-fitted meshes for problems with moving interfaces. In such methods, the cells (or elements) which are…

Computational Engineering, Finance, and Science · Computer Science 2022-07-18 Chennakesava Kadapa , Xinyu Wang , Yue Mei