Simulation of Wave Propagation
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Generalized plane offsets and rational parameterizations
(20230421)In the first part of the paper a planar generalization of offset curves is introduced and some properties are derived. In particular, it is seen that these curves exhibit good regularity properties and a study on ... 
Exploiting Kronecker structure in exponential integrators: Fast approximation of the action of phifunctions of matrices via quadrature
(20230204)In this article, we propose an algorithm for approximating the action of $\varphi$functions of matrices against vectors, which is a key operation in exponential time integrators. In particular, we consider matrices with ... 
Combining DPG in space with DPG timemarching scheme for the transient advection–reaction equation
(20221201)In this article, we present a general methodology to combine the Discontinuous PetrovGalerkin (DPG) method in space and time in the context of methods of lines for transient advectionreaction problems. We rst introduce ... 
An explicit characterization of isochordalviewed multihedgehogs with circular isoptics
(20230210)A curve α is called (ϕ, ℓ)isochordal viewed if a straight segment of constant length ℓ can slide with its endpoints on α and such that their tangents to α at these endpoints make a constant angle ϕ. These tangents determine ... 
Screw rotor manufacturing via 5axis flank CNC machining using conical tools
(202212)We propose a new method for 5axis flank computer numerically controlled (CNC) machining of screw rotors using conical tools. The flanks of screw rotors consist of helical surfaces, which predetermines the motion of the ... 
A painless multilevel automatic goaloriented hpadaptive coarsening strategy for elliptic and nonelliptic problems
(20221101)This work extends an automatic energynorm $hp$adaptive strategy based on performing quasioptimal unrefinements to the case of nonelliptic problems and goaloriented adaptivity. The proposed approach employs a multilevel ... 
Impact of H2/CH4 blends on the flexibility of micromix burners applied to industrial combustion systems
(20230501)The present paper investigates the feasibility of using H2/CH4 fuel blends in micromixtype burners applied to industrial combustion systems. The micromix burner concept, characterised by the formation of miniaturised and ... 
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 ...