Computational Mathematics (CM)
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Rational approximation of P-wave kinematics — Part 2: Orhorhombic media
(Geophysics, 2020-09)Orthorhombic anisotropy is a modern standard for 3D seismic studies in complex geologic settings. Several seismic data processing methods and wave propagation modeling algorithms in orthorhombic media rely on phase-velocity, ... -
A new acoustic assumption for orthorhombic media
(Geophysical journal international, 2020-11)In exploration seismology, the acquisition, processing and inversion of P-wave data is a routine. However, in orthorhombic anisotropic media, the governing equations that describe the P-wave propagation are coupled with ... -
Equivalence between the DPG method and the Exponential Integrators for linear parabolic problems
(Journal of Computational Physics, 2020-11)The Discontinuous Petrov-Galerkin (DPG) method and the exponential integrators are two well established numerical methods for solving Partial Di fferential Equations (PDEs) and sti ff systems of Ordinary Di fferential ... -
A DPG-based time-marching scheme for linear hyperbolic problems
(Computer Methods in Applied Mechanics and Engineering, 2020-11)The Discontinuous Petrov-Galerkin (DPG) method is a widely employed discretization method for Partial Di fferential Equations (PDEs). In a recent work, we applied the DPG method with optimal test functions for the time ... -
Rational approximation of P-wave kinematics — Part 1: Transversely isotropic media
(Geophysics, 2020-09)In seismic data processing and several wave propagation modeling algorithms, the phase velocity, group velocity, and traveltime equations are essential. To have these equations in explicit form, or to reduce algebraic ... -
Molecular Dynamics Test of the Stress-Thermal Rule in Polyethylene and Polystyrene Entangled Melts
(Macromolecules, 2020-02-03)Anisotropic thermal transport induced by deformation and the linear relation between the thermal conductivity and stress tensors, also known as the stress-thermal rule (STR), are tested via molecular dynamics simulations ... -
Numerical investigation of the rheological behavior of a dense particle suspension in a biviscous matrix using a lubrication dynamics method
(Journal of Non-Newtonian Fluid Mechanics, 2020-05-19)This paper presents a numerical approach to predict the rheology of dense non-colloidal suspensions with a biviscous matrix. A biviscous matrix is characterized as a fluid with two shear rate dependent viscosities i.e. one ... -
Finite Element simulations: computations and applications to aerodynamics and biomedicine
(2020-12-11)Partial Differential Equations describe a large number of phenomena of practical interest and their solution usually requires running huge simulations on supercomputing clusters. Especially when dealing with turbulent ... -
Sensitivity and Uncertainty Analysis by Discontinuous Galerkin of Lock-in Thermography for Crack Characterization
(Computer Methods in Applied Mechanics and Engineering, 2020-09)This work focuses on the characterization of narrow vertical cracks of nite size using optically excited lock-in thermography (OLT). To characterize these cracks, we need to solve an ill-posed inverse problem. As a previous ... -
Definition of tailor made cutting tools for machining of complex surfaces based on final surface shape
(Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020, 2020)In this work a design methodology to define the best geometry of cutting tool for complex surfaces is defined, being based on the final part surface geometry. The manufacture of components with tailor made shaped tools, ... -
The Construction of Conforming-to-shape Truss Lattice Structures via 3D Sphere Packing
(Computer-Aided Design, 2020-11)Truss lattices are common in a wide variety of engineering applications, due to their high ratio of strength versus relative density. They are used both as the interior support for other structures, and as structures on ... -
Manufacturing of screw rotors via 5-axis double-flank CNC machining
(Computer-Aided Design, 2020-11)We investigate a recently introduced methodology for 5-axis flank computer numerically controlled (CNC) machining, called double-flank milling [1]. We show that screw rotors are well suited for this manufacturing approach ... -
SPM 2020 Editorial
(Computer-Aided Design, 2020-07) -
Characterizing envelopes of moving rotational cones and applications in CNC machining
(Computer Aided Geometric Design, 2020-10)Motivated by applications in CNC machining, we provide a characterization of surfaces which are enveloped by a one-parametric family of congruent rotational cones. As limit cases, we also address ruled surfaces and their ... -
Computability and Adaptivity in CFD
(Wiley Online Library, 2019)We give a brief introduction to research on adaptive computational methods for laminar compressible and incompressible flow, and then focus on computability and adaptivity for turbulent incompressible flow, where we present ... -
A Painless Automatic hp-Adaptive Strategy for Elliptic Problems
(Finite Elements in Analysis and Design, 2020-01)In this work, we introduce a novel hp-adaptive strategy. The main goal is to minimize the complexity and implementational efforts hence increasing the robustness of the algorithm while keeping close to optimal numerical ... -
Bearing assessment tool for longitudinal bridge performance
(Journal of Civil Structural Health Monitoring, 2020-09)This work provides an unsupervised learning approach based on a single-valued performance indicator to monitor the global behavior of critical components in a viaduct, such as bearings. We propose an outlier detection ... -
Design of Loss Functions for Solving Inverse Problems using Deep Learning
(Computational Science – ICCS 2020, 2020-05)Solving inverse problems is a crucial task in several applications that strongly a ffect our daily lives, including multiple engineering fields, military operations, and/or energy production. There exist different methods ... -
Adaptive Solution of a Singularly-Perturbed Convection-Diffusion Problem Using a Stabilized Mixed Finite Element Method
(Radu F., Kumar K., Berre I., Nordbotten J., Pop I. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2017. ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol 126. Springer, Cham, 2019-01-05)We explore the applicability of a new adaptive stabilized dual-mixedfinite element method to a singularly-perturbed convection-diffusion equation withmixed boundary conditions. We establish the rate of convergence when the ...