Application of multi-agent paradigm to hp-adaptive projection-based interpolation operator

Gurgul, Piotr; Sieniek, Marcin; Magiera, Krzysztof; Skotniczny, Marcin

doi:10.1016/j.jocs.2011.07.002

Cited by 9 publications

(7 citation statements)

References 7 publications

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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%

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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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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.

Self Cite

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“…In this paper, we present an alternative projection-based interpolation solver that reduces the computational cost to O(N ) in the case of sequential execution and even further to O( N c ) when we use c cores. The projection-based interpolation technique has been successfully used for generating continuous approximations of two-or threedimensional bitmaps, with applications to material science [10,11,12,15] or modeling of the human head [8]. In this paper, we focus on utilizing the Projection-Based Interpolation (PBI) algorithm for solving a sequence of projection problems arising from the Euler scheme used for time discretization of non-stationary problems.…”

Section: Introductionmentioning

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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“…The importance of even preliminary version of such an algorithm has already been proven ( [3], [9]). …”

Section: Introductionmentioning

confidence: 99%

“…The method described in this paper differs from the Projection-Based Interpolation (PBI) operator, researched by some of the authors of this paper in [9] and [3]. PBI also delivers H 1 interpolations of an input function, but does not guarantee their optimality for the given amount of degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional HP-adaptive Algorithm for Continuous Approximations of Material Data Using Space Projection

Gurgul¹,

Sieniek²,

Paszyński³

et al. 2013

csci

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Application of multi-agent paradigm to hp-adaptive projection-based interpolation operator

Cited by 9 publications

References 7 publications

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

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

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

Two-dimensional HP-adaptive Algorithm for Continuous Approximations of Material Data Using Space Projection

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