Results 61 to 70 of about 12,689 (224)
An isogeometric Reissner–Mindlin shell element based on mixed grid
Advances in Mechanical Engineering, 2018 We propose in this article a new isogeometric Reissner–Mindlin degenerated shell element for linear analysis. It is based on the mixed use of non-uniform rational basis spline and Lagrange basis functions in the same domain.
Zhen Lei +2 more
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Mixed Isogeometric Analysis of the Brinkman Equation
Mathematics, 2023 This study focuses on numerical solution to the Brinkman equation with mixed Dirichlet–Neumann boundary conditions utilizing isogeometric analysis (IGA) based on non-uniform rational B-splines (NURBS) within the Galerkin method framework.
Lahcen El Ouadefli +5 more
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Higher‐Order, Mixed‐Hybrid Finite Elements for Kirchhoff–Love Shells
International Journal for Numerical Methods in Engineering, Volume 126, Issue 21, 15 November 2025.ABSTRACT A novel mixed‐hybrid method for Kirchhoff–Love shells is proposed that enables the use of classical, possibly higher‐order Lagrange elements in numerical analyses. In contrast to purely displacement‐based formulations that require higher continuity of shape functions as in isogeometric analysis (IGA), the mixed formulation features ...
Jonas Neumeyer +2 more
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An isogeometric analysis for elliptic homogenization problems
, 2013 A novel and efficient approach which is based on the framework of isogeometric analysis for elliptic homogenization problems is proposed. These problems possess highly oscillating coefficients leading to extremely high computational expenses while using ...
Hoang, T. +2 more
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Variable Density Interpolation for Dynamic Topology Optimization
International Journal for Numerical Methods in Engineering, Volume 126, Issue 19, 15 October 2025.ABSTRACT Topology optimization problems are usually nonconvex, and different optimization paths often lead to different local optima. This phenomenon is particularly pronounced in dynamic situations, where it typically causes grayscale. The occurrence of grayscale is greatly dependent on material parameters such as stiffness and density. In particular,
Xinlin Xu +4 more
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An isogeometric SGBEM for crack problems of magneto-electro-elastic materials
Vietnam Journal of Mechanics, 2017 The isogeometric symmetric Galerkin boundary element method is applied for the analysis of crack problems in two-dimensional magneto-electro-elastic domains. In this method, the field variables of the governing integral equations as well as the geometry
Han Duc Tran, Binh Huy Nguyen
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Overlapping Schwarz Methods for Isogeometric Analysis [PDF]
SIAM Journal on Numerical Analysis, 2012 We construct and analyze an overlapping Schwarz preconditioner for elliptic problems discretized with isogeometric analysis. The preconditioner is based on partitioning the domain of the problem into overlapping subdomains, solving local isogeometric problems on these subdomains, and solving an additional coarse isogeometric problem associated with the
L. Beirao da Veiga +3 more
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 19, 15 October 2025.ABSTRACT The classical material point method (MPM) is particularly suitable for large deformation problems with surface contact, but its capability to capture size effects remains relatively limited. In order to capture the size effect widely observed in solid materials as well as to eliminate mesh dependency, we present an F‐bar B‐spline MPM for ...
Ran Ma +4 more
wiley +1 more source
Isogeometric Boundary Elements in Electromagnetism: Rigorous Analysis, Fast Methods, and Examples
, 2019 We present a new approach to three-dimensional electromagnetic scattering problems via fast isogeometric boundary element methods. Starting with an investigation of the theoretical setting around the electric field integral equation within the ...
Dölz, Jürgen +3 more
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Hierarchical refinement in isogeometric analysis for flexible multibody impact simulations [PDF]
, 2022 Tobias Rückwald +2 more
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