Results 61 to 70 of about 284,637 (183)

Unified Framework for Finite Element Assembly

open access: yes, 2009
At the heart of any finite element simulation is the assembly of matrices and vectors from discrete variational forms. We propose a general interface between problem-specific and general-purpose components of finite element programs.
Alnæs, Martin Sandve   +4 more
core   +1 more source

Energy-corrected FEM and explicit time-stepping for parabolic problems

open access: yes, 2019
The presence of corners in the computational domain, in general, reduces the regularity of solutions of parabolic problems and diminishes the convergence properties of the finite element approximation introducing a so-called "pollution effect".
Swierczynski, Piotr, Wohlmuth, Barbara
core   +1 more source

Fully Discrete Local Discontinuous Galerkin Approximation for Time-Space Fractional Subdiffusion/Superdiffusion Equations

open access: yesAdvances in Mathematical Physics, 2017
We focus on developing the finite difference (i.e., backward Euler difference or second-order central difference)/local discontinuous Galerkin finite element mixed method to construct and analyze a kind of efficient, accurate, flexible, numerical schemes
Meilan Qiu, Liquan Mei, Dewang Li
doaj   +1 more source

Numerical Analysis and Computation of the Finite Volume Element Method for the Nonlinear Coupled Time-Fractional Schrödinger Equations

open access: yesFractal and Fractional
In this article, our aim is to consider an efficient finite volume element method combined with the L2−1σ formula for solving the coupled Schrödinger equations with nonlinear terms and time-fractional derivative terms. We design the fully discrete scheme,
Xinyue Zhao   +4 more
doaj   +1 more source

A Hybrid High-Order method for Leray-Lions elliptic equations on general meshes

open access: yes, 2016
In this work, we develop and analyze a Hybrid High-Order (HHO) method for steady non-linear Leray-Lions problems. The proposed method has several assets, including the support for arbitrary approximation orders and general polytopal meshes.
Di Pietro, Daniele A., Droniou, Jérôme
core   +4 more sources

Extended applications of molecular dynamics methods in multiscale studies of concrete composites: A review

open access: yesCase Studies in Construction Materials
This paper investigates the current landscape of multiscale studies in concrete composites incorporating molecular dynamics (MD) methods. Through a thorough literature analysis, it was determined that finite element, discrete element, homogenization ...
Jie Cao   +6 more
doaj   +1 more source

A combined finite-discrete element method for simulating pharmaceutical powder tableting

open access: yesInternational Journal for Numerical Methods in Engineering, 2005
Summary: The pharmaceutical powder and tableting process is simulated using a combined finite-discrete element method and contact dynamics for irregular-shaped particles. The particle-scale formulation and two-stage contact detection algorithm which has been developed for the proposed method enhances the overall calculation efficiency for particle ...
Lewis, R.W.   +3 more
openaire   +4 more sources

Numerical simulation of multiple hydraulic fracture propagation in heterogeneous coal reservoirs based on combined finite-discrete element method

open access: yesFrontiers in Earth Science
Multi-stage fracturing in Horizontal well increases the permeability of coalbed methane by generating multiple fractures. However, the heterogeneity of coal reservoirs is a crucial factor that cannot be ignored in the study of multiple hydraulic fracture
Binwei Xia   +3 more
doaj   +1 more source

Application of Numerical Simulation Technology in the Biomass Densification and Molding Field: A Review

open access: yesBioResources
Biomass densification and molding technology can compress and densify crushed materials into portable solid fuels with a certain shape and density. Such densification has the advantages of high combustion efficiency, high calorific value, environmental ...
Tingzhou Ning, Yue Zhang, Xinlong Wang
doaj  

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