Results 11 to 20 of about 54 (48)

Construction of generalized shape functions over arbitrary polytopes based on scaled boundary finite element method's solution of Poisson's equation

International Journal for Numerical Methods in Engineering, Volume 124, Issue 17, Page 3603-3636, 15 September 2023., 2023
Summary A general technique to develop arbitrary‐sided polygonal elements based on the scaled boundary finite element method is presented. Shape functions are derived from the solution of the Poisson's equation in contrast to the well‐known Laplace shape functions that are only linearly complete.
B Xiao, S Natarajan, C Birk, EH Ooi, C Song, ET Ooi   +5 more
wiley   +1 more source

Maximum Likelihood Coordinates

Computer Graphics Forum, Volume 42, Issue 5, August 2023., 2023
Abstract Any point inside a d‐dimensional simplex can be expressed in a unique way as a convex combination of the simplex's vertices, and the coefficients of this combination are called the barycentric coordinates of the point. The idea of barycentric coordinates extends to general polytopes with n vertices, but they are no longer unique if n > d+1 ...
Q. Chang, C. Deng, K. Hormann
wiley   +1 more source

Numerical modeling of thermo‐mechanical failure processes in granitic rock with polygonal finite elements

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 45, Issue 13, Page 1900-1919, September 2021., 2021
Abstract This paper considers numerical modeling of intensive heating induced thermo‐mechanical failure processes in granitic rock. For this end, a numerical method based on polygonal finite elements and a damage‐plasticity model is developed. A staggered scheme is employed to solve the global thermo‐mechanical problem. The rock failure is described by
Timo Saksala
wiley   +1 more source

The DOE E3SM Coupled Model Version 1: Overview and Evaluation at Standard Resolution

Journal of Advances in Modeling Earth Systems, Volume 11, Issue 7, Page 2089-2129, July 2019., 2019
Abstract This work documents the first version of the U.S. Department of Energy (DOE) new Energy Exascale Earth System Model (E3SMv1). We focus on the standard resolution of the fully coupled physical model designed to address DOE mission‐relevant water cycle questions. Its components include atmosphere and land (110‐km grid spacing), ocean and sea ice
Jean‐Christophe Golaz, Peter M. Caldwell, Luke P. Van Roekel, Mark R. Petersen, Qi Tang, Jonathan D. Wolfe, Guta Abeshu, Valentine Anantharaj, Xylar S. Asay‐Davis, David C. Bader, Sterling A. Baldwin, Gautam Bisht, Peter A. Bogenschutz, Marcia Branstetter, Michael A. Brunke, Steven R. Brus, Susannah M. Burrows, Philip J. Cameron‐Smith, Aaron S. Donahue, Michael Deakin, Richard C. Easter, Katherine J. Evans, Yan Feng, Mark Flanner, James G. Foucar, Jeremy G. Fyke, Brian M. Griffin, Cécile Hannay, Bryce E. Harrop, Mattthew J. Hoffman, Elizabeth C. Hunke, Robert L. Jacob, Douglas W. Jacobsen, Nicole Jeffery, Philip W. Jones, Noel D. Keen, Stephen A. Klein, Vincent E. Larson, L. Ruby Leung, Hong‐Yi Li, Wuyin Lin, William H. Lipscomb, Po‐Lun Ma, Salil Mahajan, Mathew E. Maltrud, Azamat Mametjanov, Julie L. McClean, Renata B. McCoy, Richard B. Neale, Stephen F. Price, Yun Qian, Philip J. Rasch, J. E. Jack Reeves Eyre, William J. Riley, Todd D. Ringler, Andrew F. Roberts, Erika L. Roesler, Andrew G. Salinger, Zeshawn Shaheen, Xiaoying Shi, Balwinder Singh, Jinyun Tang, Mark A. Taylor, Peter E. Thornton, Adrian K. Turner, Milena Veneziani, Hui Wan, Hailong Wang, Shanlin Wang, Dean N. Williams, Phillip J. Wolfram, Patrick H. Worley, Shaocheng Xie, Yang Yang, Jin‐Ho Yoon, Mark D. Zelinka, Charles S. Zender, Xubin Zeng, Chengzhu Zhang, Kai Zhang, Yuying Zhang, Xue Zheng, Tian Zhou, Qing Zhu   +83 more
wiley   +1 more source

Fit Evaluation during Repetition Interaction in Garment Pattern Design

Mathematical Problems in Engineering, Volume 2019, Issue 1, 2019., 2019
We present a novel virtual try‐on solution for fitting evaluation and pattern modification to design various types of garment and speed up the garment design process. In the phase of fit evaluation, we propose a method for producing two‐dimensional (2D) color maps by comparing a 2D triangle mesh panel garment and a 3D triangle mesh garment, which can ...
Yuxiang Zhu, Yanjun Peng, Carlo Bianca
wiley   +1 more source

Discontinuous Deformation Analysis Based on Wachspress Interpolation Function for Detailed Stress Distribution

Mathematical Problems in Engineering, Volume 2018, Issue 1, 2018., 2018
In the original discontinuous deformation analysis (DDA) method, the complete first‐order displacement function is used to describe block movement and deformation, which induce constant stress and strain throughout the block. To achieve a more detailed stress distribution, Wachspress interpolation displacement function is employed to express the ...
W. Jiang, Y. H. Wang, G. H. Sun, P. C. Song, C. Mao, Petr Krysl   +5 more
wiley   +1 more source

A Brief Review on Polygonal/Polyhedral Finite Element Methods

Mathematical Problems in Engineering, Volume 2018, Issue 1, 2018., 2018
This paper provides brief review on polygonal/polyhedral finite elements. Various techniques, together with their advantages and disadvantages, are listed. A comparison of various techniques with the recently proposed Virtual Node Polyhedral Element (VPHE) is also provided. This review would help the readers to understand the various techniques used in
Logah Perumal, Roberto G. Citarella
wiley   +1 more source

A Novel Virtual Node Hexahedral Element with Exact Integration and Octree Meshing

Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016
The method presented in this work is a 3‐dimensional polyhedral finite element (3D PFEM) based on virtual node method. Novel virtual node polyhedral elements (termed as VPHE) are developed here, particularly virtual node hexahedral element (termed as VHE). Stiffness matrices of these polyhedral elements consist of simple polynomials.
Logah Perumal, Ana Carpio
wiley   +1 more source

A Novel Shape‐Free Plane Quadratic Polygonal Hybrid Stress‐Function Element

Mathematical Problems in Engineering, Volume 2015, Issue 1, 2015., 2015
A novel plane quadratic shape‐free hybrid stress‐function (HS‐F) polygonal element is developed by employing the principle of minimum complementary energy and the fundamental analytical solutions of the Airy stress function. Without construction of displacement interpolation function, the formulations of the new model are much simpler than those of the
Pei-Lei Zhou, Song Cen, Zhiqiang Hu
wiley   +1 more source

Toric amplitudes and universal adjoints

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract A toric amplitude is a rational function associated with a simplicial polyhedral fan. The definition is inspired by scattering amplitudes in particle physics. We prove algebraic properties of such amplitudes and study the geometry of their zero loci. These hypersurfaces play the role of Warren's adjoint via a dual volume interpretation.
Simon Telen
wiley   +1 more source