Simulation of Wave Propagation
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A Deep Double Ritz Method (D2RM) for solving Partial Differential Equations using Neural Networks
(20230215)Residual minimization is a widely used technique for solving Partial Differential Equations in variational form. It minimizes the dual norm of the residual, which naturally yields a saddlepoint (min–max) problem over the ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
Efficient 5axis CNC trochoidal flank milling of 3D cavities using customshaped cutting tools
(202205)A novel method for trochoidal flank milling of 3D cavities bounded by freeform surfaces is proposed. Existing 3D trochoidal milling methods use onmarket milling tools whose shape is typically cylindrical or conical, and ... 
Nonhyperbolic normal moveout stretch correction with deep learning automation
(20220215)Normalmoveout (NMO) correction is a fundamental step in seismic data processing. It consists of mapping seismic data from recorded traveltimes to corresponding zerooffset times. This process produces wavelet stretching ... 
Exploiting the Kronecker product structure of φ−functions in exponential integrators
(20220515)Exponential time integrators are wellestablished discretization methods for time semilinear systems of ordinary differential equations. These methods use (Formula presented.) functions, which are matrix functions related ... 
Supervised Deep Learning with Finite Element simulations for damage identification in bridges
(20220415)This work proposes a supervised Deep Learning approach for damage identification in bridge structures. We employ a hybrid methodology that incorporates Finite Element simulations to enrich the training phase of a Deep ... 
Algebraic equations for constant width curves and Zindler curves
(202203)An explicit method to compute algebraic equations of curves of constant width and Zindler curves generated by a family of middle hedgehogs is given thanks to a property of Chebyshev polynomials. This extends the methodology ... 
Curveguided 5axis CNC flank milling of freeform surfaces using customshaped tools
(202203)A new method for 5axis flank milling of freeform surfaces is proposed. Existing flank milling pathplanning methods typically use onmarket milling tools whose shape is cylindrical or conical, and is therefore not ... 
2.5D Deep Learning Inversion of LWD and DeepSensing em Measurements Across Formations with Dipping Faults
(20220101)Deep learning (DL) inversion of induction logging measurements is used in well geosteering for realtime imaging of the distribution of subsurface electrical conductivity. We develop a DL inversion workflow to solve 2.5D ... 
On quadrature rules for solving Partial Differential Equations using Neural Networks
(20220401)Neural Networks have been widely used to solve Partial Differential Equations. These methods require to approximate definite integrals using quadrature rules. Here, we illustrate via 1D numerical examples the quadrature ... 
Uncertainty Quantification on the Inversion of Geosteering Measurements using Deep Learning
(20211101)We propose the use of a Deep Learning (DL) algorithm for the realtime inversion of electromagnetic measurements acquired during geosteering operations. Moreover, we show that when the DL algorithm is equipped with a ...