Employing an Adaptive Projection-based Interpolation to Prepare Discontinuous 3D Material Data for Finite Element Analysis

Goik, Damian; Sieniek, Marcin; Paszyński, Maciej; Madej, Łukasz

doi:10.1016/j.procs.2013.05.321

Cited by 5 publications

(4 citation statements)

References 16 publications

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“…In this section, we compare the architectural design principles to those presented in state-of-the-art adaptive codes [10] and [7]. All changes in 2.1 imply the following architectural design principles.…”

Section: Architectural Design Principlesmentioning

confidence: 99%

Application of projection-based interpolation algorithm for non-stationary problem

Woźniak

Paszyński

2016

csci

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In this paper, we present a solver for non-stationary problems using L 2 projection and h-adaptations. The solver utilizes the Euler time integration scheme for time evolution mixed with projection-based interpolation techniques for solving the L 2 projection problem at every time step. The solver is tested on the model problem of a heat transfer in an L-shape domain. We show that our solver delivers linear computational cost at every time step.

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Section: Architectural Design Principlesmentioning

confidence: 99%

Application of projection-based interpolation algorithm for non-stationary problem

Woźniak

Paszyński

2016

csci

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“…The projection‐based interpolation method comes to the aid in the case of reducing computational time. Although unaware of the elasticity problem to be solved, this method adapts the computational mesh around the interface between material phases and around boundaries with linear rather than quadratic computational complexity . After a couple of steps, finite elements still need to be used to adapt the mesh around solution peculiarities (problem‐specific!)…”

Section: Proposed Workflow Improvementmentioning

confidence: 99%

“…This time, however, the FEM computations can be much shorter, thanks to the pre‐adaptation performed in this step. For more information on h‐PBI please refer to (2D) and (3D).…”

Section: Pre‐adapting Mesh With Adaptive Projection‐based Interpolationmentioning

confidence: 99%

Adaptive Projection‐Based Interpolation as a Pre‐Processing Tool in the Finite Element Workflow for Elasticity Simulations of the Dual Phase Microstructures

Sieniek

Paszyński

Madej

et al. 2014

steel research int.

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An improvement to the workflow used in modeling boundary‐value problems in complex materials, which allows for reducing computational time by the factor of 5 while maintaining comparable quality of the solution is proposed in this paper. After formulating the main goals of the paper, a review of the state‐of‐the‐art techniques used for generating a digital material representation is presented. This is followed by a description of the procedure for solving boundary‐value problems and finding a representation of a given microstructure in a desired functional base. Finally, we showcase how to combine these techniques to obtain mentioned significant calculation speedup. Developed approach is validated during investigation of a selected case study, which is modeling of a linear elastic deformation of a dual phase ferritic–martensitic steel under thermal loading conditions.

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“…The agent-based parallel implementation was also proposed in (Sieniek et al, 2011). The method was extended to three-dimensional grids with hexahedral finite elements in (Goik et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Projection-based interpolation algorithm over two-dimensional grids with triangular elements

Ryzner¹,

Paszyńska²

2019

cmms

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In this paper, we employ the projection-based interpolation algorithm for approximation of two-dimensional bitmaps resulting from photographs of multi-phase material samples. The algorithm uses h-adaptive two-dimensional finite element grid with triangular elements. It results in a continuous approximation of material data with Lagrange polynomial, which makes them more suitable for finite element method computations.

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Employing an Adaptive Projection-based Interpolation to Prepare Discontinuous 3D Material Data for Finite Element Analysis

Cited by 5 publications

References 16 publications

Application of projection-based interpolation algorithm for non-stationary problem

Application of projection-based interpolation algorithm for non-stationary problem

Adaptive Projection‐Based Interpolation as a Pre‐Processing Tool in the Finite Element Workflow for Elasticity Simulations of the Dual Phase Microstructures

Projection-based interpolation algorithm over two-dimensional grids with triangular elements

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