Article
Engineering, Multidisciplinary
Hongjun Li, Weidong Lei, Hai Zhou, Rui Chen, Duofa Ji
Summary: A novel analytical method is proposed in this study for treating singularities in plastic strain-related coefficients matrices Q and F in elastoplastic analysis. This method is theoretically suitable for elastoplastic analysis from a dynamic perspective and retains all inherent advantages of the TD-BEM formulation. The proposed method is mathematically rigorous and has been verified by three examples in dynamic elastoplastic analysis using TD-BEM formulation.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Engineering, Multidisciplinary
Denis Duhamel
Summary: This paper presents a method for calculating high-frequency wave radiation in exterior domains using finite element methods. By decomposing the solution into an analytical part and a numerical part in a series expansion, the solution to the radiation or scattering problem can be obtained by solving a sparse linear system. The proposed method offers advantages in terms of computational efficiency and result accuracy.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Hrvoje Dodig, Dragan Poljak, Mario Cvetkovic
Summary: This article presents the correct coupling of edge element BEM with edge element FEM, showing that it is simpler and easier to implement compared to MoM/FEM. The method performs well in scattering problems involving objects with sharp corners.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Guilherme Barros, Victor Sapucaia, Philipp Hartmann, Andre Pereira, Jerzy Rojek, Klaus Thoeni
Summary: This work introduces a new scheme that couples the Boundary Element Method (BEM) and the Discrete Element Method (DEM) in the time domain. By coupling the DEM with the BEM, the challenge of applying the DEM to real-life applications in infinite domains is addressed. The BEM's capability to accurately and efficiently model infinite domains makes it a perfect complement to the DEM.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mathematics, Applied
D. Poelz, M. Schanz
Summary: This paper discusses the practical development of space-time boundary element methods for the wave equation in three spatial dimensions. The trial spaces are based on simplex meshes of the lateral boundary of the space-time cylinder, conforming to the structure of the solution operators of the wave equation. The numerical evaluation of integrals is complex, with a focus on quadrature techniques and energetic bilinear forms for retarded layer potentials. The proposed methods are verified through numerical experiments, demonstrating their effectiveness.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2021)
Article
Computer Science, Interdisciplinary Applications
Toru Takahashi, Masaki Tanigawa, Naoya Miyazawa
Summary: The objective of this study is to stabilize and accelerate the time-domain boundary element method (TDBEM) for the three-dimensional wave equation. By using the Burton-Miller-type boundary integral equation (BMBIE) and introducing a smooth temporal basis, the researchers were able to overcome potential time instability and improve computational complexity. Numerical examples demonstrate the indispensability of BMBIE for solving the homogeneous Dirichlet problem and the stability and accuracy of BMBIE with d = 2 for the homogeneous Neumann problem.
COMPUTER PHYSICS COMMUNICATIONS
(2022)
Article
Engineering, Multidisciplinary
Toru Takahashi, Naoya Miyazawa, Masaki Tanigawa
Summary: A three-dimensional shape optimization framework for the wave equation, taking unsteadiness into account, is developed. The shape derivative with respect to a deformation of any point on the target surface is derived using the adjoint variable method. The target surface is represented by non-uniform rational B-spline patches and the shape derivative is discretized using associated control points. Computational cost and instability issues of the time-domain boundary element method are resolved using a fast and stable method proposed by the authors. The developed shape optimization system is evaluated through numerical experiments with satisfactory results.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Computer Science, Interdisciplinary Applications
Hongyu Zhou, Yang Liu, Jing Wang
Summary: The staggered-grid finite-difference (SFD) scheme is favored for wave equation simulation due to its accuracy and stability. However, the conventional SFD scheme only achieves second-order accuracy. To improve the accuracy, a cost-effective hybrid SFD (HSFD) scheme is proposed, combining the features of CSFD and MSFD schemes. An optimization method is also introduced to deal with the nonlinear dispersion relation. Analysis shows that the new HSFD scheme has better accuracy and stability, with lower computational cost compared to the MSFD scheme.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Chemistry, Physical
Jungki Lee, Mingu Han
Summary: This paper introduces the use of the volume integral equation method for numerical analysis of isotropic solids with various spheroidal inclusions. The results obtained using VIEM can be used as reference values for verifying similar research.
Article
Mathematics, Applied
Jan Zapletal, Raphael Watschinger, Guenther Of, Michal Merta
Summary: The paper introduces the application of the boundary element method for the heat equation in three spatial dimensions, with results validated through numerical experiments in an HPC environment.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2021)
Article
Mathematics, Applied
Raphael Watschinger, Michal Merta, Guenther Of, Jan Zapletal
Summary: In this study, a novel approach to parallelizing the parabolic fast multipole method for the space-time boundary element method for the heat equation is presented, utilizing the special temporal structure of the operators and implementing efficient distributed parallelization with one-directional communication pattern.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2022)
Article
Engineering, Electrical & Electronic
Maxime Fays, Olivier Chadebec, Brahim Ramdane
Summary: The main advantage of isogeometric analysis is its ability to accurately represent various geometries and its superior efficiency in mechanical problems compared to standard finite element methods. However, the isogeometric representation of air region in electromagnetic problems is particularly inefficient. To address this issue, a novel magnetic scalar potential finite element-boundary element coupling is introduced in a magnetostatic context. Numerical considerations and implementation specificities are discussed, and the method's efficiency is demonstrated.
IEEE TRANSACTIONS ON MAGNETICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Jakub Homola, Michal Merta, Jan Zapletal
Summary: In this paper, a method is presented to overcome the issue of large memory requirements when accelerating code using GPUs by assembling system matrix elements only when needed during matrix-vector multiplication.
ADVANCES IN ENGINEERING SOFTWARE
(2023)
Article
Engineering, Electrical & Electronic
Zichao Jin, Yue Cao, Shuwang Li, Wenjun Ying, Mahesh Krishnamurthy
Summary: A kernel-free boundary integral method (KFBIM) is introduced for solving magnetic computations in a 2-D toroidal core geometry. It shows advantages over traditional finite difference methods, providing more accurate and efficient calculations of magnetic flux and tangential field intensity. The results obtained are in excellent agreement with a commercial finite element solver (ANSYS).
IEEE TRANSACTIONS ON MAGNETICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Xavier Adriaens, Francois Henrotte, Christophe Geuzaine
Summary: This paper presents a computationally efficient method, the adjoint state method, for studying acoustic, electromagnetic, and elastic wave scattering problems, which quantifies the influence of medium properties and boundary conditions. The method is applied to various scattering problems with impedance boundary conditions, demonstrating its validity through numerical examples solved using the finite element method.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Engineering, Multidisciplinary
E. G. Dutra do Carmo, K. P. Fernandes, W. J. Mansur, A. R. Corbo
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2018)
Article
Engineering, Multidisciplinary
L. O. C. Lara, C. F. Loeffler, J. P. Barbosa, W. J. Mansur
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2018)
Article
Mechanics
B. Sobhaniaragh, V. P. Nguyen, W. J. Mansur, F. C. Peters
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2018)
Article
Thermodynamics
Andre Valente, Felipe Loureiro, Leandro Di Bartolo, Webe Joao Mansur
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2018)
Article
Engineering, Geological
B. Sobhaniaragh, W. J. Mansur, F. C. Peters
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES
(2018)
Article
Mechanics
B. Sobhaniaragh, M. Haddad, W. J. Mansur, F. C. Peters
Article
Geosciences, Multidisciplinary
Raphael Vieira Menezes de Souza, Franciane Conceicao Peters, Webe Joao Mansur, Halina dos Santos Salles, Kristian David Torres Bautista, Luiz Alberto Santos
JOURNAL OF APPLIED GEOPHYSICS
(2019)
Article
Engineering, Multidisciplinary
E. G. de A. Costa, L. M. C. Godinho, J. A. F. Santiago, W. J. Mansur, F. C. Peters
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2019)
Article
Materials Science, Multidisciplinary
E. Borzabadi Farahani, B. Sobhani Aragh, W. J. Mansur
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART L-JOURNAL OF MATERIALS-DESIGN AND APPLICATIONS
(2019)
Article
Mathematics, Applied
Anna Regina Corbo, Eduardo Gomes Dutra do Carmo, Webe Joao Mansur, Katia Prado Fernandes
COMPUTATIONAL & APPLIED MATHEMATICS
(2019)
Article
Engineering, Multidisciplinary
J. A. M. Carrer, R. M. Correa, W. J. Mansur, R. F. Scuciato
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2019)
Review
Engineering, Mechanical
Kymie Karina Silva Saito, Webe Joao Mansur, Otto Correa Rotunno Filho, Jose Antonio Marques Carrer
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
(2019)
Article
Engineering, Multidisciplinary
Carlos Friedrich Loeffler, Julio Tomas Aquije Chacaltana, Antonio Manoel Ferreira Frasson, Webe Joao Mansur
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2019)
Article
Engineering, Civil
Leonardo de Jesus Alexandre, Webe Joao Mansur, Francisco de Rezende Lopes, Paulo Eduardo Lima de Santa Maria
Summary: This paper introduces a model that considers the time-dependent behavior of both concrete and soil and allows for the coupled analysis of structure and foundation. Validation tests show considerable changes in the effects of soil-structure interaction when considering the time-dependent behavior of materials.
LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES
(2022)
Proceedings Paper
Engineering, Mechanical
Delfim Soares Jr, Tales Vieira Sofiste, Webe Joao Mansur
14TH INTERNATIONAL CONFERENCE ON VIBRATION ENGINEERING AND TECHNOLOGY OF MACHINERY (VETOMAC XIV)
(2018)
