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View article: Numerical analysis of small-strain elasto-plastic deformation using local Radial Basis Function approximation with Picard iteration
Numerical analysis of small-strain elasto-plastic deformation using local Radial Basis Function approximation with Picard iteration Open
This paper deals with a numerical analysis of plastic deformation under various conditions, utilizing Radial Basis Function (RBF) approximation. The focus is on the elasto-plastic von Mises problem under plane-strain assumption. Elastic de…
View article: A superconvergence result in the RBF-FD method
A superconvergence result in the RBF-FD method Open
Radial Basis Function-generated Finite Differences (RBF-FD) is a meshless method that can be used to numerically solve partial differential equations. The solution procedure consists of two steps. First, the differential operator is discre…
View article: Spatially dependent node regularity in meshless approximation of partial differential equations
Spatially dependent node regularity in meshless approximation of partial differential equations Open
In this paper, we address a way to reduce the total computational cost of meshless approximation by reducing the required stencil size through spatially varying computational node regularity. Rather than covering the entire domain with sca…
View article: Some observations regarding the RBF-FD approximation accuracy dependence on stencil size
Some observations regarding the RBF-FD approximation accuracy dependence on stencil size Open
When solving partial differential equations on scattered nodes using the Radial Basis Function-generated Finite Difference (RBF-FD) method, one of the parameters that must be chosen is the stencil size. Focusing on Polyharmonic Spline RBFs…
View article: Spatially dependent node regularity in meshless approximation of partial differential equations
Spatially dependent node regularity in meshless approximation of partial differential equations Open
In this paper, we address a way to reduce the total computational cost of meshless approximation by reducing the required stencil size through spatially varying computational node regularity. Rather than covering the entire domain with sca…
View article: A superconvergence result in the RBF-FD method
A superconvergence result in the RBF-FD method Open
Radial Basis Function-generated Finite Differences (RBF-FD) is a meshless method that can be used to numerically solve partial differential equations. The solution procedure consists of two steps. First, the differential operator is discre…
View article: Meshless interface tracking for the simulation of dendrite envelope growth
Meshless interface tracking for the simulation of dendrite envelope growth Open
The growth of dendritic grains during solidification is often modelled using the Grain Envelope Model (GEM), in which the envelope of the dendrite is an interface tracked by the Phase Field Interface Capturing (PFIC) method. In the PFIC me…
View article: raw data for 2d dendritic growth with meshless methods
raw data for 2d dendritic growth with meshless methods Open
Raw data for simulation of dendritic growth using meshless methods.
View article: raw data for 2d dendritic growth with meshless methods
raw data for 2d dendritic growth with meshless methods Open
Raw data for simulation of dendritic growth using meshless methods.
View article: raw data for 2d dendritic growth with meshless methods
raw data for 2d dendritic growth with meshless methods Open
Raw data for simulation of dendritic growth using meshless methods.
View article: Plain strain plasticity with meshless methods - raw data
Plain strain plasticity with meshless methods - raw data Open
Plain strain plasticity with meshless methods - raw data To support paper: https://gitlab.com/e62Lab/public/p_2d_plasticity
View article: Plain strain plasticity with meshless methods - raw data
Plain strain plasticity with meshless methods - raw data Open
Plain strain plasticity with meshless methods - raw data To support paper: https://gitlab.com/e62Lab/public/p_2d_plasticity
View article: Strong form mesh-free hp-adaptive solution of linear elasticity problem
Strong form mesh-free hp-adaptive solution of linear elasticity problem Open
We present an algorithm for hp -adaptive collocation-based mesh-free numerical analysis of partial differential equations. Our solution procedure follows a well-established iterative solve–estimate–mark–refine paradigm. The solve phase rel…
View article: Spatially-varying meshless approximation method for enhanced computational efficiency
Spatially-varying meshless approximation method for enhanced computational efficiency Open
In this paper, we address a way to reduce the total computational cost of meshless approximation by reducing the required stencil size through spatial variation of computational node regularity. Rather than covering the entire domain with …
View article: Hybrid scattered-regular data
Hybrid scattered-regular data Open
Data to support project: https://gitlab.com/e62Lab/public/2023_cp_iccs_hybrid_nodes
View article: Hybrid scattered-regular data
Hybrid scattered-regular data Open
Data to support project: https://gitlab.com/e62Lab/public/2023_cp_iccs_hybrid_nodes
View article: Oscillatory behaviour of the RBF-FD approximation accuracy under increasing stencil size
Oscillatory behaviour of the RBF-FD approximation accuracy under increasing stencil size Open
When solving partial differential equations on scattered nodes using the Radial Basis Function generated Finite Difference (RBF-FD) method, one of the parameters that must be chosen is the stencil size. Focusing on Polyharmonic Spline RBFs…
View article: Data used for eigen solvers analysis.
Data used for eigen solvers analysis. Open
Data used for this project: https://gitlab.com/e62Lab/eigen_solvers_analysis
View article: hp-adaptive strong-form mesh-free solution procedure: data
hp-adaptive strong-form mesh-free solution procedure: data Open
Data obtain within this project.
View article: hp-adaptive strong-form mesh-free solution procedure: data
hp-adaptive strong-form mesh-free solution procedure: data Open
Data obtain within this project.
View article: Data used for eigen solvers analysis.
Data used for eigen solvers analysis. Open
Data used for this project: https://gitlab.com/e62Lab/eigen_solvers_analysis
View article: A sharp-interface mesoscopic model for dendritic growth
A sharp-interface mesoscopic model for dendritic growth Open
The grain envelope model (GEM) describes the growth of envelopes of dendritic crystal grains during solidification. Numerically the growing envelopes are usually tracked using an interface capturing method employing a phase field equation …
View article: Strong form mesh-free $hp$-adaptive solution of linear elasticity problem
Strong form mesh-free $hp$-adaptive solution of linear elasticity problem Open
We present an algorithm for $hp$-adaptive collocation-based mesh-free numerical analysis of partial differential equations. Our solution procedure follows a well-established iterative solve-estimate-mark-refine paradigm. The solve phase re…
View article: Stability analysis of RBF-FD and WLS based local strong form meshless methods on scattered nodes
Stability analysis of RBF-FD and WLS based local strong form meshless methods on scattered nodes Open
The popularity of local meshless methods in the field of numerical simulations has increased greatly in recent years. This is mainly due to the fact that they can operate on scattered nodes and that they allow a direct control over the app…
View article: A Meshless Solution of a Small-Strain Plasticity Problem
A Meshless Solution of a Small-Strain Plasticity Problem Open
When the deformations of a solid body are sufficiently large, parts of the body undergo a permanent deformation commonly refereed to as plastic deformation. Several plasticity models describing such phenomenon have been proposed, e.g. von …
View article: Implicit-Explicit Error Indicator based on Approximation Order
Implicit-Explicit Error Indicator based on Approximation Order Open
With the immense computing power at our disposal, the numerical solution of partial differential equations (PDEs) is becoming a day-to-day task for modern computational scientists. However, the complexity of real-life problems is such that…
View article: A Meshless Solution of a Small-Strain Plasticity Problem
A Meshless Solution of a Small-Strain Plasticity Problem Open
When the deformations of a solid body are sufficiently large, parts of the body undergo a permanent deformation commonly refereed to as plastic deformation. Several plasticity models describing such phenomenon have been proposed, e.g. von …
View article: A hybrid RBF-FD and WLS mesh-free strong-form approximation method
A hybrid RBF-FD and WLS mesh-free strong-form approximation method Open
Since the advent of mesh-free methods as a tool for the numerical analysis of systems of Partial Differential Equations (PDEs), many variants of differential operator approximation have been proposed. In this work, we propose a local mesh-…