A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems [PDF]
Scientific Reports, 2023 The paper presents a posteriori error approximation concept based on residuals in the two-dimensional discontinuous Galerkin (DG) method. The approach is relatively simple and effective in application, and it takes advantage of some unique properties of ...
Jan Jaśkowiec, Jerzy Pamin
doaj +2 more sources
Prediction of difficulty in cryoballoon ablation with a three‐dimensional deep learning model using polygonal mesh representation [PDF]
Journal of ArrhythmiaBackground Cryoballoon ablation (CBA) is useful for pulmonary vein (PV) isolation. However, some cases are challenging, requiring multiple applications and/or touch‐up ablations. Although several predictors of CBA difficulty have been reported, none have
Kazutaka Nakasone +16 more
doaj +2 more sources
Computing mutual similarity of 3D human faces in nearly linear time. [PDF]
PLoS ONEUsing three-dimensional scans of human faces has become an emerging technique in studies of human variation, where the quantitative assessment of facial similarity complements the measurement of other somatic traits.
Radek Ošlejšek +2 more
doaj +2 more sources
CELL-CENTERED LAGRANGIAN LAX-WENDROFF HLL HYBRID SCHEME ON UNSTRUCTURED MESHES
Acta Polytechnica, 2021 We have recently introduced a new cell-centered Lax-Wendroff HLL hybrid scheme for Lagrangian hydrodynamics [Fridrich et al. J. Comp. Phys. 326 (2016) 878-892] with results presented only on logical rectangular quadrilateral meshes.
David Fridrich +4 more
doaj +1 more source
Polylidar - Polygons From Triangular Meshes [PDF]
IEEE Robotics and Automation Letters, 2020 This paper presents Polylidar, an efficient algorithm to extract non-convex polygons from 2D point sets, including interior holes. Plane segmented point clouds can be input into Polylidar to extract their polygonal counterpart, thereby reducing map size and improving visualization.
Jeremy Castagno, Ella Atkins
openaire +2 more sources
MPAS-Seaice (v1.0.0): sea-ice dynamics on unstructured Voronoi meshes [PDF]
Geoscientific Model Development, 2022 We present MPAS-Seaice, a sea-ice model which uses the Model for Prediction Across Scales (MPAS) framework and spherical centroidal Voronoi tessellation (SCVT) unstructured meshes.
A. K. Turner +7 more
doaj +1 more source
A serendipity fully discrete div-div complex on polygonal meshes
Comptes Rendus. Mécanique, 2023 In this work we address the reduction of face degrees of freedom (DOFs) for discrete elasticity complexes. Specifically, using serendipity techniques, we develop a reduced version of a recently introduced two-dimensional complex arising from traces of ...
Botti, Michele +2 more
doaj +1 more source
Polygonal finite element-based content-aware image warping
Computational Visual Media, 2023 Mesh-based image warping techniques typically represent image deformation using linear functions on triangular meshes or bilinear functions on rectangular meshes. This enables simple and efficient implementation, but in turn, restricts the representation
Juan Cao +3 more
doaj +1 more source
A priori error analysis of virtual element method for contact problem
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 As an extension of the finite element method, the virtual element method (VEM) can handle very general polygonal meshes, making it very suitable for non-matching meshes. In (Wriggers et al. in Comput. Mech.
Fei Wang, B. Daya Reddy
doaj +1 more source
A free‐cutting mesh strategy for optimal shape synthesis in magnetics
IET Science, Measurement & Technology, 2022 The authors propose an innovative technique for dealing with optimal shape design problems that exploits the flexibility of the virtual element method in generating meshes composed of general polygonal and polyhedral elements.
F. Dassi, P. Di Barba, A. Russo
doaj +1 more source