A mixed finite‐element, finite‐volume, semi‐implicit discretization for atmospheric dynamics: Cartesian geometry
Sign Up to like & getrecommendations! Published in 2019 at "Quarterly Journal of the Royal Meteorological Society"
DOI: 10.1002/qj.3501
Abstract: To meet the challenges posed by future generations of massively parallel supercomputers, a reformulation of the dynamical core for the Met Office's weather and climate model is presented. This new dynamical core uses explicit finite‐volume… read more here.
Keywords: finite element; finite volume; geometry; model ... See more keywords
On the stability analysis of hyperelastic boundary value problems using three- and two-field mixed finite element formulations
Sign Up to like & getrecommendations! Published in 2017 at "Computational Mechanics"
DOI: 10.1007/s00466-017-1415-2
Abstract: In this work we investigate different mixed finite element formulations for the detection of critical loads for the possible occurrence of bifurcation and limit points. In detail, three- and two-field formulations for incompressible and quasi-incompressible… read more here.
Keywords: finite element; two field; element formulations; three two ... See more keywords
Mixed finite element discretizations of acoustic Helmholtz problems with high wavenumbers
Sign Up to like & getrecommendations! Published in 2019 at "Calcolo"
DOI: 10.1007/s10092-019-0346-z
Abstract: AbstractWe study the acoustic Helmholtz equation with impedance boundary conditions formulated in terms of velocity, and analyze the stability and convergence properties of lowest-order Raviart-Thomas finite element discretizations. We focus on the high-wavenumber regime, where… read more here.
Keywords: acoustic helmholtz; finite element; stability; mixed finite ... See more keywords
Two-grid Raviart-Thomas mixed finite element methods combined with Crank-Nicolson scheme for a class of nonlinear parabolic equations
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-020-09777-z
Abstract: In this paper, we discuss a priori error estimates of two-grid mixed finite element methods for a class of nonlinear parabolic equations. The lowest order Raviart-Thomas mixed finite element and Crank-Nicolson scheme are used for… read more here.
Keywords: raviart thomas; finite element; mixed finite; two grid ... See more keywords
A Linearized Local Conservative Mixed Finite Element Method for Poisson–Nernst–Planck Equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-018-0727-5
Abstract: In this paper, a linearized local conservative mixed finite element method is proposed and analyzed for Poisson–Nernst–Planck (PNP) equations, where the mass fluxes and the potential flux are introduced as new vector-valued variables to equations… read more here.
Keywords: finite element; mixed finite; nernst planck; method ... See more keywords
A new combined characteristic mixed finite element method for compressible miscible displacement problem
Sign Up to like & getrecommendations! Published in 2018 at "Numerical Algorithms"
DOI: 10.1007/s11075-018-0590-3
Abstract: A new combined characteristic mixed finite element method is developed for solving compressible miscible displacement in porous media. In this algorithm, the splitting mixed finite element (SMFE) method is applied for solving the parabolic-type pressure… read more here.
Keywords: finite element; mixed finite; element method; new combined ... See more keywords
Residual-based a posteriori error estimates for symmetric conforming mixed finite elements for linear elasticity problems
Sign Up to like & getrecommendations! Published in 2017 at "Science China Mathematics"
DOI: 10.1007/s11425-017-9181-2
Abstract: A posteriori error estimators for the symmetric mixed finite element methods for linear elasticity problems with Dirichlet and mixed boundary conditions are proposed. Reliability and efficiency of the estimators are proved. Finally, numerical examples are… read more here.
Keywords: linear elasticity; elasticity problems; posteriori error; mixed finite ... See more keywords
Mixed finite-element method for multi-term time-fractional diffusion and diffusion-wave equations
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-017-0447-8
Abstract: In this paper, numerical theory based on the mixed finite-element method and finite difference analog of the Caputo fractional derivative for multi-term time-fractional diffusion equations and diffusion-wave equations is analyzed. The unconditional stability and convergence… read more here.
Keywords: finite element; diffusion; mixed finite; element method ... See more keywords
The stabilized mixed finite element scheme of elasticity problem
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DOI: 10.1007/s40314-017-0466-5
Abstract: In this paper, we consider a new mixed finite element scheme of the elasticity problem in two and three dimensions, and the new scheme can impose Neumann boundary condition directly. A new stabilized method is… read more here.
Keywords: element scheme; finite element; scheme elasticity; mixed finite ... See more keywords
Compatible-strain mixed finite element methods for 2D compressible nonlinear elasticity
Sign Up to like & getrecommendations! Published in 2017 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2016.09.047
Abstract: Abstract In this paper, using the Hilbert complexes of nonlinear elasticity, the approximation theory for Hilbert complexes, and the finite element exterior calculus, we introduce a new class of mixed finite element methods for 2D… read more here.
Keywords: finite element; mixed finite; nonlinear elasticity; element methods ... See more keywords
A stabilized mixed finite element approximation for incompressible finite strain solid dynamics using a total Lagrangian formulation
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113164
Abstract: Inocencio Castanar gratefully acknowledges the support received from the Agencia de Gestio d’Ajut i de Recerca through the predoctoral FI grant 2019-FI-B-0649. J. Baiges gratefully acknowledges the support of the Spanish Government through the Ramon… read more here.
Keywords: finite element; stabilized mixed; mixed finite; acknowledges support ... See more keywords