A Regularized Method of Fundamental Solutions for 3D and Axisymmetric Potential Problems [PDF]
, 2014 The Method of Fundamental Solutions (MFS) is investigated for 3D potential problem in the case when the source points are located along the boundary of the domain of the original problem and coincide with the collocation points.
Csaba Gáspár
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Domain decomposition for implicit solvation models [PDF]
, 2013 International audienceThis article is the first of a series of papers dealing with domain decomposition algorithms for implicit solvent models. We show that, in the framework of the COSMO model, with van der Waals molecular cavities and classical charge ...
Adams R. A. +8 more
core +4 more sources
Domain-Decomposition Singular Boundary Method for Stress Analysis in Multi-Layered Elastic Materials [PDF]
, 2012 This paper applies an improved singular boundary method (SBM) in conjunction with domain decomposition technique to stress analysis of layered elastic materials.
Wen Chen, Xiao-Qiao He, Yan Gu
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Singular Boundary Method: Three Regularization Approaches and Exterior Wave Applications [PDF]
, 2014 This study investigates the singular boundary method (SBM) with three regularization approaches for solving 2D and 3D exterior wave problems. The singular boundary method is a recent meshless boundary collocation method, which introduces the concept of ...
Jeng-Tzong Chen +3 more
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Fast Magnetic Flux Line Allocation Algorithm for Interactive Visualization Using Magnetic Flux Line Existence Probability [PDF]
, 2015 The visualization of magnetic flux lines is one of the most effective ways to intuitively grasp a magnetic field. The depiction of continuous and smooth magnetic flux lines according to the magnetic field is of paramount importance.
Naoe, Takuto +3 more
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CRKSPH - A Conservative Reproducing Kernel Smoothed Particle Hydrodynamics Scheme
, 2016 We present a formulation of smoothed particle hydrodynamics (SPH) that utilizes a first-order consistent reproducing kernel, a smoothing function that exactly interpolates linear fields with particle tracers.
Frontiere, Nicholas +2 more
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A review of multiscale numerical modeling of rock mechanics and rock engineering
Deep Underground Science and Engineering, Volume 4, Issue 3, Page 382-405, September 2025.Multiscale numerical methods of rock mechanics and rock engineering are reviewed, and the review results show that more attention should be paid to the development of an advanced constitutive model in addition to numerical techniques themselves. Abstract Rock is geometrically and mechanically multiscale in nature, and the traditional phenomenological ...
Xindong Wei, Zhe Li, Gaofeng Zhao
wiley +1 more source
Singular Boundary Method for Heat Conduction in Layered Materials [PDF]
, 2011 In this paper, we investigate the application of the singular boundary method (SBM) to two-dimensional problems of steady-state heat conduction in isotropic bimaterials. A domain decomposition technique is employed where the bimaterial is decomposed into
H. Htike, W. Chen, Y. Gu
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Latent Representation Learning in Physics‐Informed Neural Networks for Full Waveform Inversion
Earth and Space Science, Volume 12, Issue 9, September 2025.Abstract Full waveform inversion (FWI), a state‐of‐the‐art seismic inversion algorithm, comprises an iterative data‐fitting process to recover high‐resolution Earth's properties (e.g., velocity). At the heart of this process lies the numerical wave equation solver, which necessitates discretization.
Mohammad H. Taufik +2 more
wiley +1 more source
ANN‐Based Green's Function Approach for Reservoir Geomechanics
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 49, Issue 12, Page 2820-2831, 25 August 2025.ABSTRACT Green's functions have been a tool to analyze important reservoir geomechanics effects like subsidence, compaction, well closure, and permeability variation. However, the classical Green's function is related to linear elastic, homogenous, and geometrically simplified media.
Matheus L. Peres +2 more
wiley +1 more source