Results 1 to 10 of about 117,310 (166)
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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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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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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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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A finite element method for electrowetting on dielectric [PDF]
Journal of Computational Physics, 2021 We consider the problem of electrowetting on dielectric (EWoD). The system involves the dynamics of a conducting droplet, which is immersed in another dielectric fluid, on a dielectric substrate under an applied voltage. The fluid dynamics is modeled by the two-phase incompressible Navier-Stokes equations with the standard interface conditions, the ...
Quan Zhao, Weiqing Ren
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The vortex method with finite elements [PDF]
Mathematics of Computation, 1981 This work shows that the method of charcteristics is well suited for the numerical solution of first order hyperbolic partial differential equations whose coefficients are approximated by functions piecewise constant on a finite element triangulation of the domain of integration.
Bardos, Claude +2 more
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Advances in Finite Element Method [PDF]
Mathematical Problems in Engineering, 2014 1 AML, Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing 100084, China 2 College of Engineering, Swansea University, Swansea SA2 8PP, UK 3 School of Mechanical and Aerospace Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore 4 State Key Laboratory of Ocean Engineering ...
Cen, Song +3 more
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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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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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