Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in quantum mechanics [PDF]
Advanced Modeling and Simulation in Engineering Sciences, 2017 In this paper the h-adaptive partition-of-unity method and the h- and hp-adaptive finite element method are applied to eigenvalue problems arising in quantum mechanics, namely, the Schrödinger equation with Coulomb and harmonic potentials, and the all ...
Denis Davydov +3 more
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Application of the fully automatic hp-adaptive FEM to elastic-plastic problems [PDF]
Computer Methods in Materials Science, 2014 The hp-adaptive mesh refinement is a technique that for linear problems proved to deliver a fast, predicted by theory, exponential convergence. We have applied this approach to elastic-plastic problems modeled by associative constitutive law with the ...
Marta Oleksy, Witold Cecot
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Application of hp-adaptive FEM, local numerical homogenization and discrete element method to modeling of asphalt pavement structures [PDF]
Computer Methods in Materials Science, 2013 This paper presents a novel approach to modeling of asphalt pavement structures. Analysed medium exhibits a complex behaviour due to its specific structure.
Marek Klimczak +2 more
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Engineering Transactions, 2015 In this paper the application of local numerical homogenization and hp-adaptive FEM for modeling of non-periodic heterogeneous viscoelastic materials is presented. These two methods were combined and modified in order to provide a novel tool for reliable
Marek KLIMCZAK, Witold CECOT
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Phase transition simulations for solidification of fe-c alloy with cellular automata interfaced with self-adaptive hp finite element method for non-stationary heat and mass transport problems [PDF]
Computer Methods in Materials Science, 2008 The simulation of the phase transition for solidification of Fe-C alloy with the Cellular Automata (CA) method interfaced with the hp-adaptive Finite Element Method (FEM) for the non-stationary heat and mass transport problems is presented in the paper ...
Maciej Paszyński +4 more
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Parallel genetic algorithm finding optimal initial mesh for three dimensional self-adaptive hp finite element method [PDF]
Computer Methods in Materials Science, 2011 In this paper we investigate the parallel version of the hierarchical chromosome based genetic algorithm (HCBGA) for finding the optimal initial mesh for self-adaptive hp-Finite Element Method (hp-FEM).
Anna Paszyńska, Maciej Paszyński
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Adaptive hp finite element method for fluorescence molecular tomography with simplified spherical harmonics approximation [PDF]
Journal of Innovative Optical Health Sciences, 2014 Recently, the simplified spherical harmonics equations (SPN) model has attracted much attention in modeling the light propagation in small tissue geometries at visible and near-infrared wavelengths.
Hongbo Guo +5 more
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Parallel self-adaptive hp finite element method with shared data structure [PDF]
Computer Methods in Materials Science, 2011 In this paper we present a new parallel algorithm of the self-adaptive hp Finite Element Method (hp-FEM) with shared data structures. The algorithm generates in a fully automatic mode (without any user interaction) a sequence of meshes delivering ...
Maciej Paszyński, David Pardo
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Different mesh management strategies for non-stationary self-adaptive hp finite element method [PDF]
Computer Methods in Materials Science, 2010 In this paper we compare different strategies for solving non-stationary heat and mass transfer problems, utilized to simulate austenite-ferrite phase transformation.
Maciej Paszyński, Paweł Matuszyk
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Object oriented multi-scale hp-adaptive finite element method [PDF]
Computer Methods in Materials Science, 2009 This paper presents an object-oriented (O-O) project of the hp-adaptive Finite Element Method (hp-FEM) code, supporting multi-scale computations.
Piotr Gurgul +2 more
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