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A Deep Double Ritz Method (D2RM) for solving Partial Differential Equations using Neural Networks
(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
(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
(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 ...
Offsets and front tire tracks to projective hedgehogs
(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 ...
Refined isogeometric analysis of quadratic eigenvalue problems
(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 ...
Machining-induced characteristics of microstructure-supported LPBF-IN718 curved thin walls
(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 ...
Combined model-based and machine learning approach for damage identification in bridge type structures
(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 ...
Exploiting the Kronecker product structure of φ−functions in exponential integrators
(2022-05-15)
Exponential time integrators are well-established discretization methods for time semilinear systems of ordinary differential equations. These methods use (Formula presented.) functions, which are matrix functions related ...
Efficient 5-axis CNC trochoidal flank milling of 3D cavities using custom-shaped cutting tools
(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 ...
Supervised Deep Learning with Finite Element simulations for damage identification in bridges
(2022-04-15)
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 ...