Computational Mathematics (CM)
Browse by
Collections in this community
Recent Submissions

Deep Learning for Inverting Borehole Resistivity Measurements
(20221125)There exist multiple traditional methods to solve inverse problems, mainly, gradientbased or statisticsbased methods. However, these methods have severe limitations. In particular, they often need to compute the forward ... 
A numerical method for suspensions of articulated bodies in viscous flows
(20220901)An articulated body is defined as a finite number of rigid bodies connected by a set of arbitrary constraints that limit the relative motion between pairs of bodies. Such a general definition encompasses a wide variety of ... 
Aeroacoustic Analysis of a Subsonic Jet using the Discontinuous Galerkin Method
(2022)In this work, the opensource spectral/hp element framework Nektar++ (www.nektar.info) is coupled with the Antares library (www.cerfacs.fr/antares/) to predict noise from a subsonic jet. Nektar++ uses the highorder ... 
Zindlertype hypersurfaces in R^4
(20220908)In this paper the definition of Zindlertype hypersurfaces is introduced in $\mathbb{R}^4$ as a generalization of planar Zindler curves. After recalling some properties of planar Zindler curves, it is shown that Zindler ... 
The DPG Method for the ConvectionReaction Problem, Revisited
(20220101)We study both conforming and nonconforming versions of the practical DPG method for the convectionreaction problem. We determine that the most common approach for DPG stability analysis  construction of a local Fortin ... 
TechnologyAgnostic Assessment of Wave Energy System Capabilities
(20220401)Developing new wave energy technologies is risky, costly and timeconsuming. The large diversity of concepts, components and evaluation criteria creates a vast design space of potentially feasible solutions. This paper ... 
Experimental investigation of anomalous molecular probe diffusion in entangled polymer melts
(20220101)Investigations on the diffusion of small molecules or particles in polymeric materials are important to numerous technologies and can also be used to gain insight on polymer chain dynamics. Systems where the probe size is ... 
Mesoscopic simulations of inertial drag enhancement and polymer migration in viscoelastic solutions flowing around a confined array of cylinders
(20220701)We study the flow around a periodic array of cylinders using a mesoscopic viscoelastic fluid that mimics polymeric solutions. We model our fluid employing a novel mesoscopic method based on Smoothed Dissipative Particle ... 
Machininginduced characteristics of microstructuresupported LPBFIN718 curved thin walls
(202207)The microstructuresupported design of engineering components is recently gaining attention due to their high strengthtoweight and high stiffnesstoweight properties. The present study investigates the hybrid manufacturing ... 
1D Painless Multilevel Automatic GoalOriented h and p Adaptive Strategies Using a PseudoDual Operator
(20220101)The main idea of our GoalOriented Adaptive (GOA) strategy is based on performing global and uniform h or prefinements (for h and padaptivity, respectively) followed by a coarsening step, where some basis functions are ... 
Arbitrary flow boundary conditions in smoothed dissipative particle dynamics: A generalized virtual rheometer
(20210101)In this work, a methodology to perform rheological studies on smoothed dissipative particle dynamics under arbitrary flow configurations is introduced. To evaluate the accuracy and flexibility of the proposed methodology, ... 
Hydrodynamics of spike proteins dictate a transportaffinity competition for SARSCoV2 and other enveloped viruses
(20221201)Many viruses, such as SARSCoV2 or Influenza, possess envelopes decorated with surface proteins (a.k.a. spikes). Depending on the virus type, a large variability is present in the surfaceproteins number, morphology and ... 
Refined isogeometric analysis of quadratic eigenvalue problems
(20220716)Certain applications that analyze damping effects require the solution of quadratic eigenvalue problems (QEPs). We use refined isogeometric analysis (rIGA) to solve quadratic eigenproblems. rIGA discretization, while ... 
Selfdiffusion of spherocylindrical particles flowing under nonuniform shear rate
(20220407)This work is devoted to study numerically the selfdiffusion of spherocylindrical particles flowing down an inclined plane, using the discrete element method (DEM). This system is challenging due to particles being ... 
Offsets and front tire tracks to projective hedgehogs
(20220725)There are some known properties on curves of constant width and Zindler curves and their relationship with offsets and front tiretrack curves in convex geometry. In this work, a generalization of all these concepts and ... 
Combined modelbased and machine learning approach for damage identification in bridge type structures
(202206)In this work, we propose a combined approach of modelbased and machine learning techniques for damage identification in bridge structures. First, a finite element model is calibrated with real data from experimental ... 
Modeling swelling effects during coffee extraction with smoothed particle hydrodynamics
(20220401)It is commonly assumed that coffee particles swell during filtration, but it has not been clarified how different degrees of swelling affect the extraction. In this article, we propose a grain swelling model to investigate ... 
Regular polygons on isochordalviewed hedgehogs
(2022)A curve $\alpha$ is called isochordal viewed if there is a smooth motion of a constant length chord with its endpoints along $\alpha$ such that their tangents to the curve at these points form a constant angle. In this ... 
Timeadaptive Adomian decompositionbased numerical scheme for Euler equations
(20220421)Time efficiency is one of the more critical concerns in computational fluid dynamics simulations of industrial applications. Extensive research has been conducted to improve the underlying numerical schemes to achieve time ... 
An implicit symplectic solver for highprecision long term integrations of the Solar System
(2022)We present FCIRK16, a 16thorder implicit symplectic integrator for longterm high precision Solar System simulations. Our integrator takes advantage of the nearKeplerian motion of the planets around the Sun by ...