Results 31 to 40 of about 383 (176)
Mathematics, 2023 This work presents a novel simulation approach to couple the meshfree radial point interpolation method (RPIM) with the implicit direct time integration method for the transient analysis of wave propagation dynamics in non-homogeneous media.
Cong Liu +3 more
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Surface and Boundary Corrections in Peridynamics Using Optimized Nodal Influence Weights
International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACT Peridynamics (PD), similarly to some other nonlocal continuum theories, exhibits truncated interaction horizons near free surfaces, cracks, and voids in bounded domains. This loss of neighbors causes artificial surface effects and inconsistencies in the derivative and energy operators that persist under discretization refinement, limiting PD ...
Arman Shojaei +5 more
wiley +1 more source
Recent developments in stabilized Galerkin and collocation meshfree methods
Computer Assisted Methods in Engineering and Science, 2017 Meshfree methods have been developed based on Galerkin type weak formulation and strong formulation with collocation. Galerkin type formulation in conjunction with the compactly supported approximation functions and polynomial reproducibility yields ...
Jiun-Shyan Chen +2 more
doaj
Simulations using meshfree methods
CoRR, 2015 preprint (draft) + 3 figures, 1 table, 2 appendices, 2 images, 1 MATLAB ...
openaire +2 more sources
International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACTLattice systems are indispensable for modeling and analyzing physical phenomena in materials with discrete or heterogeneous micro‐ or meso‐structures. However, the computational requirements for practical engineering applications of lattice systems remain high.
Benjamin Werner +2 more
wiley +1 more source
Simulation of Skeletal Muscles in Real-Time with Parallel Computing in GPU
Applied Sciences, 2020 Modeling and simulation of the skeletal muscles are usually solved using the Finite Element method (FEM) which, although accurate, commonly needs a complex mesh and the solution is not processed in real-time. In this work, a meshfree model that simulates
Octavio Navarro-Hinojosa +1 more
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Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.ABSTRACT In this paper, we assess the performance of adaptive and nested factorized sparse approximate inverses as smoothers in multilevel V‐cycles, when smoothing is performed following the Chebyshev iteration of the fourth kind, for the efficient solution of linear systems arising from a conforming discretization of higher‐order partial differential ...
Pablo Jiménez Recio +1 more
wiley +1 more source
Enriched Meshfree Method for an Accurate Numerical Solution of the Motz Problem
Advances in Mathematical Physics, 2016 We present an enriched meshfree solution of the Motz problem. The Motz problem has been known as a benchmark problem to verify the efficiency of numerical methods in the presence of a jump boundary data singularity at a point, where an abrupt change ...
Won-Tak Hong
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Special Issue “Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications”
Mathematical and Computational Applications, 2020 Authors of the present Special Issue are gratefully acknowledged for writing papers of very high standard [...]
Nicholas Fantuzzi
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Advanced Engineering Materials, Volume 28, Issue 7, 8 April 2026.This article presents a solver‐agnostic domain‐specific language (DSL) for computational structural mechanics that strengthens interoperability in virtual product development. Using a hierarchical data model, the DSL enables seamless exchange between diverse simulation tools and numerical methods.
Martin Rädel +3 more
wiley +1 more source