Results 11 to 20 of about 1,091,187 (280)
High-order finite element methods for cardiac monodomain simulations [PDF]
Frontiers in Physiology, 2015 Computational modeling of tissue-scale cardiac electrophysiology requires numerically converged solutions to avoid spurious artifacts. The steep gradients inherent to cardiac action potential propagation necessitate fine spatial scales and therefore a ...
Kevin P Vincent +10 more
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A Variational Quantum Linear Solver Application to Discrete Finite-Element Methods [PDF]
Entropy, 2023 Finite-element methods are industry standards for finding numerical solutions to partial differential equations. However, the application scale remains pivotal to the practical use of these methods, even for modern-day supercomputers.
Corey Jason Trahan +3 more
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Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods [PDF]
Journal of Computational Physics, 2016 In this paper, we discuss a general multiscale model reduction framework based on multiscale finite element methods. We give a brief overview of related multiscale methods. Due to page limitations, the overview focuses on a few related methods and is not
Chung, Eric +2 more
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Towards automatic finite-element methods for geodynamics via Firedrake [PDF]
Geoscientific Model Development, 2022 Firedrake is an automated system for solving partial differential equations using the finite-element method. By applying sophisticated performance optimisations through automatic code-generation techniques, it provides a means of creating accurate ...
D. R. Davies +3 more
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Orthonormal Bernstein Galerkin technique for computations of higher order eigenvalue problems
MethodsX, 2023 The numerical approximation of eigenvalues of higher even order boundary value problems has sparked a lot of interest in recent years. However, it is always difficult to deal with higher-order BVPs because of the presence of boundary conditions.
Humaira Farzana +2 more
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A Review of Finite Element Methods for Room Acoustics
Acoustics, 2023 Accurate predictions of the wave-dominated region of an acoustic field in a room can be generated using wave-based computational methods. One such method is the finite element method (FEM).
Albert G. Prinn
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Recovered finite element methods [PDF]
Computer Methods in Applied Mechanics and Engineering, 2018 We introduce a family of Galerkin finite element methods which are constructed via recovery operators over element-wise discontinuous approximation spaces. This new family, termed collectively as recovered finite element methods (R-FEM) has a number of attractive features over both classical finite element and discontinuous Galerkin approaches, most ...
Georgoulis, Emmanuil H., Pryer, Tristan
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Bridge Grillage Analysis using Finite Element Methods
Nigerian Journal of Technological Development, 2019 This paper introduces a two dimensional bridge deck for a cantilever bridge with a 15 m long span that has been modelled and analysed using computational modelling software (LUSAS) to obtain maximum moments and shear forces.
Khalid Abdel Naser Abdel Rahim
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Finite Element Iterative Methods for the 3D Steady Navier--Stokes Equations
Entropy, 2021 In this work, a finite element (FE) method is discussed for the 3D steady Navier–Stokes equations by using the finite element pair Xh×Mh. The method consists of transmitting the finite element solution (uh,ph) of the 3D steady Navier–Stokes equations ...
Yinnian He
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Quasi-3-D spectral wavelet method for a thermal quench simulation
Journal of Mathematics in Industry, 2021 The finite element method is widely used in simulations of various fields. However, when considering domains whose extent differs strongly in different spatial directions a finite element simulation becomes computationally very expensive due to the large
Jonas Bundschuh +2 more
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