Exponential convergence of hp FEM for spectral fractional diffusion in polygons [PDF]
Numerische Mathematik, 2020 For the spectral fractional diffusion operator of order 2 s , $$s \in (0,1)$$ s ∈ ( 0 , 1 ) , in bounded, curvilinear polygonal domains $$\varOmega \subset {{\mathbb {R}}}^2$$ Ω ⊂ R 2 we prove exponential convergence of two classes of hp discretizations ...
L. Banjai, J. Melenk, C. Schwab
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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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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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An algorithm for transferring 2d arbitrary hp-refined finite element axially symmetric meshes to three dimensions [PDF]
Computer Methods in Materials Science, 2007 The 2D and 3D fully automatic hp adaptive Finite Element Method (FEM) codes generate a sequence of optimal hp refined meshes delivering exponential convergence rate of the numerical error with respect to the number of degrees of freedom (and CPU time ...
Maciej Paszyński +3 more
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Numerical aspects of computational homogenization [PDF]
Computer Methods in Materials Science, 2013 Computational homogenization enables replacement of a heterogeneous domain by an equivalent body with effective material parameters. Approach that we use is based on two-scale micro/macro analysis.
Marta Serafin, Witold Cecot
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Elastic Stress-Strain State of Elements of the Internal High-Pressure Casing for Steam Turbines [PDF]
Journal of Mechanical Engineering, 2019 The elastic-stress state of internal high pressure (HP) casings of 300 and 500 MW steam turbines is estimated using a three-dimensional computational structural model.
Serhii A. Palkov, Mykola H. Shulzhenko
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Applied Sciences, 2021 We have developed a novel surgical/computational model for the investigation of unilat-eral vocal fold paralysis (UVFP) which will be used to inform future in silico approaches to improve surgical outcomes in type I thyroplasty.
Zheng Li +5 more
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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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Three-dimensional adaptive algorithm for continuous approximations of material data using space projection [PDF]
Computer Methods in Materials Science, 2013 The concept of the H1 projections for an adaptive generation of a continuous approximation of an input 3D image in the finite element (FE) framework is describe and utilized in this paper. Such an approximation, along with a corresponding FE mesh, can be
Piotr Gurgul +3 more
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Recursion relations for hp‐FEM Element Matrices on quadrilaterals
Pamm, 2021 In this paper we consider higher order shape functions for finite elements on quadrilaterals. Using tensor products of suitable Jacobi polynomials, it can be proved that the corresponding mass and stiffness matrices are sparse with respect to polynomial ...
T. Haubold, V. Pillwein, Sven Beuchler
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