A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]
Sci Rep, 2023 Jaśkowiec J, Pamin J.
europepmc +1 more source
Modelling Thermal Conduction in Polydispersed and Sintered Nanoparticle Aggregates. [PDF]
Nanomaterials (Basel), 2021 Karagiannakis NP +2 more
europepmc +1 more source
Meshless Local Petrov-Galerkin (MLPG) Method for Convection-Diffusion Problems
Computer Modeling in Engineering & Sciences, 2000 Due to the very general nature of the Meshless Local Petrov-Galerkin (MLPG) method, it is very easy and natural to introduce the upwinding concept (even in multi-dimensional cases) in the MLPG method, in order to deal with convection-dominated flows. In this paper, several upwinding schemes are proposed, and applied to solve steady convection-diffusion
H. Lin, S.N. Atluri
openaire +1 more source
SARS-CoV-2 rate of spread in and across tissue, groundwater and soil: A meshless algorithm for the fractional diffusion equation. [PDF]
Eng Anal Bound Elem, 2022 Bavi O +3 more
europepmc +1 more source
The meshless local Petrov-Galerkin method based on moving Kriging interpolation for solving the time fractional Navier-Stokes equations. [PDF]
Springerplus, 2016 Thamareerat N +2 more
europepmc +1 more source
A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode Cracks. [PDF]
Materials (Basel), 2023 Li T, Yang Z, Xu C, Xu X, Zhou Z.
europepmc +1 more source
The Meshless Analysis of Scale-Dependent Problems for Coupled Fields. [PDF]
Materials (Basel), 2020 Sladek J, Sladek V, Wen PH.
europepmc +1 more source
Multiscale Simulation Based on The Meshless Local Petrov-Galerkin (MLPG) Method
Computer Modeling in Engineering & Sciences, 2004 A multiscale simulation technique based on the MLPG methods, and finite deformation mechanics, is developed, implemented, and tested. Several alternate time-dependent interfacial conditions, between the atomistic and continuum regions, are systematically studied, for the seamless multiscale simulation, by decomposing the displacement of atoms in the ...
gping Shen, S. N. Atluri
openaire +1 more source
A Layer-Arranged Meshless Method for the Simulation of Additive Manufacturing with Irregular Shapes. [PDF]
Micromachines (Basel), 2021 Lee MH, Chen WH, Mao Y.
europepmc +1 more source
Treatment of Material Discontinuity in the Meshless Local Petrov-Galerkin Method [PDF]
Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017), 2017 Meiling Zhao, Gendai Gu, Xufei Yuan
openaire +1 more source