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Showing 1 to 7 of 7 for “"finite element methods (FEMs)"”.
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A three dimensional generalized finite element method for thin fibers embedded in a continuum
… and implementation challenge to available Finite Element Methods (FEMs). Meshing a large number of arbitrarily distributed fibers in three dimensions and modeling damage mechanisms, while simultaneously accounting for multi-scale interactions would undermine the feasibility of available FEM …
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A generalized finite element method for three-dimensional fractures in fiber-reinforced composites
… in composite materials using standard Finite Element Methods (FEMs) face significant barriers in terms of model generation and problem size. This work presents recent advances of the Generalized Finite Element Method (GFEM) for three-dimensional modeling and simulation of crack …
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Automated Finite Elements
Finite element methods (FEMs) are a powerful and ubiquitous tool for solving engineering problems. Experimenting with different finite elements can improve the quality and efficiency of solutions. Furthermore, in some cases, the wrong (but nonetheless most common) choice of finite element will …
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Finite element methods for implicit solvent models
In this thesis, we develop finite element methods (FEMs) for implicit solvent models. Implicit models treat the solvent in biomolecular systems as bulk continuum and are thus computationally efficient. The Poisson-Boltzmann equation (PBE) is one important example. We design a FEM for the linear PBE …
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Implementation of a comprehensive methodology for structural dynamics and NVH simulation incorporating MBS, FEM and ray tracing
… of Multi-Body Simulations (MBSs) alongside Finite Element Methods (FEMs) with millions of Degrees of Freedom (DOF). Such computations place substantial demands on computer performance. However, owing to significant advancements in computer capabilities, these once-complex models can now be …
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High-order Discontinuous Galerkin Methods and Deep Reinforcement Learning with Application to Multiscale Ocean Modeling
… integration of observational data and adaptive methods. As scientists strive to better understand multiscale ocean processes, the thirst for comprehensive simulations has proceeded apace with concomitant increases in computing power, and submesoscale resolutions where nonhydrostatic effects are …
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Singular high-order complete vector functions for the analysis and design of electromagnetic structures with Finite Methods
… manner for curved triangular and quadrilateral elements. The higher order basis functions are obtained as the product of lowest order functions and Silvester–Lagrange interpolatory polynomials with specially arranged arrays of interpolation points. The completeness properties are discussed and …