Solving elliptic eigenproblems with adaptive multimesh hp-FEM [PDF]
Journal of Computational and Applied Mathematics, 2021 This paper proposes a novel adaptive higher-order nite element (hp-FEM) method for solving elliptic eigenvalue problems, where n eigenpairs are calculated simultaneously, but on individual higher-order nite element meshes. The meshes are automatically hp-
S. Giani, P. Solín
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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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Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients [PDF]
Computers and Mathematics with Applications, 2020 A convergence theory for the $hp$-FEM applied to a variety of constant-coefficient Helmholtz problems was pioneered in the papers [Melenk-Sauter, 2010], [Melenk-Sauter, 2011], [Esterhazy-Melenk, 2012], [Melenk-Parsania-Sauter, 2013].
D. Lafontaine, E. Spence, J. Wunsch
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Journal of Engineering and Sustainable Development, 2022 The current study uses the finite element technique to investigate a single-phase induction motor with non-uniform stator slots. A 0.5 hp, four poles, 36 stator slots, and 48 rotor slots have non-uniform stator slots were analyzed based on magnet Finite
Marwa A. Dawood, Amer M. Ali
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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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hp-FEM for the spectral fractional Laplacian in polygons
, 2023 The numerical treatment of fractional differential operators is challenging due to their non-local nature. Additional numerical challenges arise in particular in the case of bounded domains from strong singularities of the solution at the boundary.
Rieder, Alexander +3 more
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Randkonzentrierte und adaptive hp-FEM [PDF]
, 2006 Die vorliegende Arbeit befasst sich mit verschiedenen Aspekten der hp-FEM. Insbesondere werden hierbei folgende Punkte genauer untersucht: 1. Das effiziente Aufstellen der Steifigkeitsmatrix auf Referenzelementen, die keine Tensorproduktstruktur ...
Eibner, Tino
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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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Applied Mechanics, 2022 Engineering structures are often assembled from parts with different materials. When uncertainty quantification techniques are applied, the curse of dimensionality increases the computational complexity.
Harri Hakula
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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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