• Generalized plane offsets and rational parameterizations 

  Rochera, D. (2023-04-21)

  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  phi-functions of matrices via quadrature 

  Croci, M.; Muñoz-Matute, J. (2023-02-04)

  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 time-marching scheme for the transient advection–reaction equation 

  Muñoz-Matute, J.; Demkowicz, L.; Roberts, N. V. (2022-12-01)

  In this article, we present a general methodology to combine the Discontinuous Petrov-Galerkin (DPG) method in space and time in the context of methods of lines for transient advection-reaction problems. We  rst introduce ...

• An explicit characterization of isochordal-viewed multihedgehogs with circular isoptics 

  Rochera, D. (2023-02-10)

  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 5-axis flank CNC machining using conical tools 

  Bizzarri, M.; Bo, P.; Barton, M. (2022-12)

  We propose a new method for 5-axis 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 multi-level automatic goal-oriented hp-adaptive coarsening strategy for elliptic and non-elliptic problems 

  Caro, F.V.; Darrigrand, V.; Alvarez-Aramberri, J.; Alberdi, E.; Pardo, D. (2022-11-01)

  This work extends an automatic energy-norm $hp$-adaptive strategy based on performing quasi-optimal unrefinements to the case of non-elliptic problems and goal-oriented adaptivity. The proposed approach employs a multi-level ...

• Impact of H2/CH4 blends on the flexibility of micromix burners applied to industrial combustion systems 

  Lopez-Ruiz, G.; Alava, I.; Blanco, J. M. (2023-05-01)

  The present paper investigates the feasibility of using H2/CH4 fuel blends in micromix-type 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 

  Uriarte, C.; Pardo, D.; Muga, I.; Muñoz-Matute, J. (2023-02-15)

  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 saddle-point (min–max) problem over the ...

• Deep Learning for Inverting Borehole Resistivity Measurements 

  Rivera, J.A (2022-11-25)

  There exist multiple traditional methods to solve inverse problems, mainly, gradient-based or statistics-based methods. However, these methods have severe limitations. In particular, they often need to compute the forward ...

• Zindler-type hypersurfaces in R^4 

  Martinez-Maure, Y.; Rochera, D. (2022-09-08)

  In this paper the definition of Zindler-type 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 Convection-Reaction Problem, Revisited 

  Demkowicz, L.; Roberts, N.V.; Muñoz-Matute, J. (2022-01-01)

  We study both conforming and non-conforming versions of the practical DPG method for the convection-reaction problem. We determine that the most common approach for DPG stability analysis - construction of a local Fortin ...

• Machining-induced characteristics of microstructure-supported LPBF-IN718 curved thin walls 

  Mishra, S.; Escudero, G.; Gonzalez, H.; Calleja, A.; Martinez, S.; Barton, M.; Lopez de Lacalle, N.; Mishra (2022-07)

  The microstructure-supported design of engineering components is recently gaining attention due to their high strength-to-weight and high stiffness-to-weight properties. The present study investigates the hybrid manufacturing ...

• 1D Painless Multi-level Automatic Goal-Oriented h and p Adaptive Strategies Using a Pseudo-Dual Operator 

  Caro, F.V.; Darrigrand, V.; Alvarez-Aramberri, J.; Alberdi, E.; Pardo, D. (2022-01-01)

  The main idea of our Goal-Oriented Adaptive (GOA) strategy is based on performing global and uniform h- or p-refinements (for h- and p-adaptivity, respectively) followed by a coarsening step, where some basis functions are ...

• Refined isogeometric analysis of quadratic eigenvalue problems 

  Hashemian, A.; Garcia, D.; Pardo, D.; Calo, V.M. (2022-07-16)

  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 

  Rochera, D. (2022-07-25)

  There are some known properties on curves of constant width and Zindler curves and their relationship with offsets and front tire-track curves in convex geometry. In this work, a generalization of all these concepts and ...

• Combined model-based and machine learning approach for damage identification in bridge type structures 

  Fernandez-Navamuel, A.; Zamora-Sánchez, D.; Armijo-Prieto, A.; Varona-Poncela, T.; García-Sánchez, D.; García-Villena, F.; Ruiz-Cuenca, F. (2022-06)

  In this work, we propose a combined approach of model-based 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 isochordal-viewed hedgehogs 

  Rochera, D. (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 high-precision long term integrations of the Solar System 

  Antoñana, M.; Alberdi, E.; Makazaga, J.; Murua, A. (2022)

  We present FCIRK16, a 16th-order implicit symplectic integrator for long-term high precision Solar System simulations. Our integrator takes advantage of the near-Keplerian motion of the planets around the Sun by ...

• Efficient 5-axis CNC trochoidal flank milling of 3D cavities using custom-shaped cutting tools 

  Bo, P.; Fan, H.; Barton, M. (2022-05)

  A novel method for trochoidal flank milling of 3D cavities bounded by free-form surfaces is proposed. Existing 3D trochoidal milling methods use on-market milling tools whose shape is typically cylindrical or conical, and ...

• Nonhyperbolic normal moveout stretch correction with deep learning automation 

  Abedi, M.M.; Pardo, D. (2022-02-15)

  Normal-moveout (NMO) correction is a fundamental step in seismic data processing. It consists of mapping seismic data from recorded traveltimes to corresponding zero-offset times. This process produces wavelet stretching ...

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