Now showing items 31-50 of 204

• #### A Deep Learning Approach to the Inversion of Borehole Resistivity Measurements ﻿

(2020-04)
Borehole resistivity measurements are routinely employed to measure the electrical properties of rocks penetrated by a well and to quantify the hydrocarbon pore volume of a reservoir. Depending on the degree of geometrical ...
• #### Deep learning driven self-adaptive hp finite element method ﻿

(2021-06)
The fi nite element method (FEM) is a popular tool for solving engineering problems governed by Partial Di fferential Equations (PDEs). The accuracy of the numerical solution depends on the quality of the computational ...
• #### Deep learning enhanced principal component analysis for structural health monitoring ﻿

(2022-01-01)
This paper proposes a Deep Learning Enhanced Principal Component Analysis (PCA) approach for outlier detection to assess the structural condition of bridges. We employ partially explainable autoencoder architecture to ...
• #### A Deep Neural Network as Surrogate Model for Forward Simulation of Borehole Resistivity Measurements ﻿

(2020-01)
Inverse problems appear in multiple industrial applications. Solving such inverse problems require the repeated solution of the forward problem. This is the most time-consuming stage when employing inversion techniques, ...
• #### Definition of tailor made cutting tools for machining of complex surfaces based on final surface shape ﻿

(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, ...
• #### Design of Loss Functions for Solving Inverse Problems using Deep Learning ﻿

(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 ...
• #### Dimensionally adaptive hp-finite element simulation and inversion of 2D magnetotelluric measurements ﻿

(2016-09-01)
Magnetotelluric (MT) problems often contain different subdomains where the conductivity of the media depends upon one, two, or three spatial variables. Traditionally, when a MT problem incorporates a three-dimensional (3D) ...
• #### Direct solvers performance on h-adapted grids ﻿

(2015-12-31)
We analyse the performance of direct solvers when applied to a system of linear equations arising from an $h$-adapted, $C^0$ finite element space. Theoretical estimates are derived for typical $h$-refinement patterns arising ...
• #### Discrete maximum principles for nonlinear parabolic PDE systems ﻿

(2012-12-31)
Discrete maximum principles (DMPs) are established for finite element approximations of systems of nonlinear parabolic partial differential equations with mixed boundary and interface conditions. The results are based on ...
• #### Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling ﻿

(2013-12-31)
Discrete nonnegativity principles are established for finite element approximations of nonlinear parabolic PDE systems with mixed boundary conditions. Previous results of the authors are extended such that diagonal dominance ...
• #### Dispersion-minimizing quadrature rules for $C^1$ quadratic isogeometric analysis ﻿

(2017-09-20)
We develop quadrature rules for the isogeometric analysis of wave propagation and structural vibrations that minimize the discrete dispersion error of the approximation. The rules are optimal in the sense that they only ...
• #### The DPG Method for the Convection-Reaction Problem, Revisited ﻿

(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 ...
• #### A DPG-based time-marching scheme for linear hyperbolic problems ﻿

(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 ...
• #### Editors' preface for the topical issue "Advances in Numerical Analysis and Numerical Linear Algebra" ﻿

(2012-12-31)
[No abstract available]
• #### Editors' preface for the topical issue "Numerical Methods for Large-Scale Scientific Computing, I" ﻿

(2013-12-31)
[No abstract available]
• #### Editors' preface for the topical issue "Numerical Methods for Large-Scale Scientific Computing, II" ﻿

(2013-12-31)
[No abstract available]
• #### Effects of parameterization and knot placement techniques on primal and mixed isogeometric collocation formulations of spatial shear-deformable beams with varying curvature and torsion ﻿

(2020-06)
We present a displacement-based and a mixed isogeometric collocation (IGA-C) formulation for free-form, three-dimensional, shear-deformable beams with high and rapidly-varying curvature and torsion. When such complex shapes ...
• #### 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 ...
• #### Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for B-splines ﻿

(2019-12-14)
Calabr{\`o} et al. [10] changed the paradigm of the mass and stiffness computation from the traditional element-wise assembly to a row-wise concept, showing that the latter one offers integration that may be orders of ...
• #### Efficient quadrature rules for subdivision surfaces in isogeometric analysis ﻿

(2018-10)
We introduce a new approach to numerical quadrature on geometries defined by subdivision surfaces based on quad meshes in the context of isogeometric analysis. Starting with a sparse control mesh, the subdivision process ...