Results 51 to 60 of about 454 (177)
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 4, April 2026.Abstract Volcanic calderas are large depressions formed by the rapid collapse of overlying rock into a magma chamber during eruptions. We utilize Smoothed Particle Hydrodynamics (SPH), a continuum, meshfree numerical method, to study the 2018 caldera collapse at Kīlauea volcano in Hawaii.
Enrique M. del Castillo, Paul Segall
wiley +1 more source
MathematicsOver the last two decades, meshfree Galerkin methods have become increasingly popular in solid and fluid mechanics applications. A variety of these methods have been developed, each incorporating unique meshfree approximation schemes to enhance their ...
Hongtao Yang, Hao Wang, Bo Li
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Local continuum consistent peridynamics with bond‐associated modeling and dynamic fracture
GAMM-Mitteilungen, Volume 49, Issue 1-2, March/June 2026.Abstract This paper explores the theoretical foundations and practical challenges of peridynamics as a nonlocal continuum mechanics method. We establish connections between classical continuum mechanics principles and peridynamics formulations, with a particular focus on understanding how the pairwise force function in peridynamics relates to stress ...
Kai Partmann +3 more
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Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 818-834, 30 January 2026.ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado +2 more
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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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Full-Vectorial Meshfree Spectral Method for Optical-Waveguide Analysis
IEEE Photonics Journal, 2013 A full-vectorial multidomain spectral method (MDSM) for optical modal analysis is developed and presented. The formulation is based on considering the coupling between the transverse magnetic (TM) field components as the other electromagnetic components ...
Fahhad Alharbi
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Mathematics, 2020 In this article, a novel radial−based meshfree approach for solving nonhomogeneous partial differential equations is proposed. Stemming from the radial basis function collocation method, the novel meshfree approach is formulated by incorporating ...
Cheng-Yu Ku, Jing-En Xiao, Chih-Yu Liu
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AIP Advances, 2021 In this paper, a novel meshfree approach is proposed for the three-dimensional free vibration analysis of laminated composite combination shells. The three-dimensional theory of elasticity is applied to the formulation for free vibration analysis of ...
Songhun Kwak, Kwanghun Kim
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Macromolecular Theory and Simulations, Volume 35, Issue 1, January 2026.A novel approach that integrates AI‐based methodology, laboratory experimentation, and field application experience to accurately predict the lifespan of elastomeric materials in harsh downhole environments. ABSTRACT This paper presents a physics‐driven neural network (PINN) model to capture the constitutive behavior, elongation at break (EAB), modulus,
Aref Ghaderi +6 more
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A meshfree method for solving the Monge–Ampère equation [PDF]
Numerical Algorithms, 2018 10 figures, 12 ...
Klaus Böhmer, Robert Schaback
openaire +4 more sources