Results 1 to 10 of about 1,085,281 (280)
Recovered finite element methods [PDF]
Computer Methods in Applied Mechanics and Engineering, 2017 We introduce a family of Galerkin finite element methods which are constructed via recovery operators over element-wise discontinuous approximation spaces.
Georgoulis, Emmanuil H., Pryer, Tristan
core +8 more sources
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
doaj +2 more sources
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
doaj +2 more sources
Accurate gradient computations at interfaces using finite element methods
International Journal of Applied Mathematics and Computer Science, 2017 New finite element methods are proposed for elliptic interface problems in one and two dimensions. The main motivation is to get not only an accurate solution, but also an accurate first order derivative at the interface (from each side).
Qin Fangfang +3 more
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
Immersed finite element methods for convection diffusion equations
AIMS Mathematics, 2023 In this work, we develop two IFEMs for convection-diffusion equations with interfaces. We first define bilinear forms by adding judiciously defined convection-related line integrals.
Gwanghyun Jo , Do Y. Kwak
doaj +1 more source
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
doaj +2 more sources
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
doaj +1 more source
Finite element methods for surface PDEs [PDF]
, 2013 In this article we consider finite element methods for approximating the solution of partial differential equations on surfaces. We focus on surface finite elements on triangulated surfaces, implicit surface methods using level set descriptions of the ...
Aragón +21 more
core +1 more source