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Fankhauser Thomas +2 more
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An hp-Adaptive Iterative Linearization Discontinuous-Galerkin FEM for Quasilinear Elliptic Boundary Value Problems [PDF]
AbstractIn this article we consider the a posteriori error analysis of hp-version discontinuous Galerkin finite element methods for the numerical solution of a second-order quasilinear elliptic boundary value problem of strongly monotone type. In particular, we employ and analyze a practical solution scheme based on exploiting a discrete Kačanov ...
Paul Houston, Thomas P. Wihler
openaire +3 more sources
A Bottom-Up Design Framework for Multifunctional Lattice Metamaterials. [PDF]
This study introduces a generative AI framework for designing multifunctional lattice metamaterials. The method combines 3D Gaussian voxel generation with deep learning, enabling greater design freedom and structural performance. The optimized lattice metamaterials achieve enhanced energy absorption by 40–200% compared to conventional structures and ...
Hu Z +13 more
europepmc +2 more sources
Emerging Advanced Electronic Packaging Materials for Thermal Management in Power Electronics. [PDF]
This review surveys emerging materials for thermal management in advanced electronic packaging, with emphasis on ceramic substrates and thermal interface materials. Multiscale simulations and mechanistic analyses are highlighted, alongside the emerging role of artificial intelligence in predicting thermal properties and guiding design, offering ...
Huo Y +11 more
europepmc +2 more sources
Solving Elliptic Eigenproblems with Adaptive Multimesh hp-FEM [PDF]
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-
Solin, P., Giani, S.
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Randkonzentrierte und adaptive hp-FEM [PDF]
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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An algorithm for transferring 2d arbitrary hp-refined finite element axially symmetric meshes to three dimensions [PDF]
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
doaj +1 more source
Three-dimensional adaptive algorithm for continuous approximations of material data using space projection [PDF]
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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Numerical aspects of computational homogenization [PDF]
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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Anisotropic 2D mesh adaptation in hp-adaptive FEM
AbstractThe paper presents a grammar for anisotropic two-dimensional mesh adaptation in hp-adaptive Finite Element Method with rectangular elements. It occurs that a straightforward approach to modeling this process via grammar productions leads to potential deadlock in h-adaptation of the mesh.
Arkadiusz Szymczak +3 more
openaire +2 more sources

