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   Articles with "fully discrete" as a keyword



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Stability and convergence of fully discrete Galerkin FEMs for the nonlinear thermistor equations in a nonconvex polygon

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recommendations! Published in 2017 at "Numerische Mathematik"

DOI: 10.1007/s00211-016-0843-9

Abstract: In this paper, we establish the unconditional stability and optimal error estimates of a linearized backward Euler–Galerkin finite element method (FEM) for the time-dependent nonlinear thermistor equations in a two-dimensional nonconvex polygon. Due to the… read more here.

Keywords: thermistor equations; nonconvex polygon; fully discrete; stability ... See more keywords
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Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations

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recommendations! Published in 2017 at "Numerische Mathematik"

DOI: 10.1007/s00211-017-0868-8

Abstract: Maxwell’s equations are considered with transparent boundary conditions, for initial conditions and inhomogeneity having support in a bounded, not necessarily convex three-dimensional domain or in a collection of such domains. The numerical method only involves… read more here.

Keywords: stable convergent; method; maxwell equations; convergent fully ... See more keywords
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A fully discrete Galerkin method for Abel-type integral equations

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recommendations! Published in 2018 at "Advances in Computational Mathematics"

DOI: 10.1007/s10444-018-9598-4

Abstract: In this paper, we present a Galerkin method for Abel-type integral equation with a general class of kernel. Stability and quasi-optimal convergence estimates are derived in fractional-order Sobolev norms. The fully-discrete Galerkin method is defined… read more here.

Keywords: type integral; abel type; method abel; method ... See more keywords
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Fully Discrete Approximations to the Time-Dependent Navier–Stokes Equations with a Projection Method in Time and Grad-Div Stabilization

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recommendations! Published in 2019 at "Journal of Scientific Computing"

DOI: 10.1007/s10915-019-00980-9

Abstract: AbstractThis paper studies fully discrete approximations to the evolutionary Navier–Stokes equations by means of inf-sup stable $$H^1$$H1-conforming mixed finite elements with a grad-div type stabilization and the Euler incremental projection method in time. We get… read more here.

Keywords: projection method; time; fully discrete; discrete approximations ... See more keywords
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A second-order finite element variational multiscale scheme for the fully discrete unsteady Navier–Stokes equations

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recommendations! Published in 2018 at "Journal of Applied Mathematics and Computing"

DOI: 10.1007/s12190-017-1135-y

Abstract: In this report, we present and study a fully discrete finite element variational multiscale scheme for the unsteady incompressible Navier–Stokes equations where high Reynolds numbers are allowed. The scheme uses conforming finite element pairs for… read more here.

Keywords: finite element; element variational; scheme; fully discrete ... See more keywords
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Fully discrete approximation of general nonlinear Sobolev equations

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recommendations! Published in 2019 at "Afrika Matematika"

DOI: 10.1007/s13370-018-0626-9

Abstract: We consider abstract quasilinear evolution equations of Sobolev type in a Hilbert setting. We propose two fully discrete schemes and prove some error estimates under minimal assumptions. Various examples that enter into our abstract framework… read more here.

Keywords: general nonlinear; discrete approximation; fully discrete; nonlinear sobolev ... See more keywords
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Numerical Analysis of Fully discrete Finite element Methods for the stochastic Navier-Stokes Equations with Multiplicative Noise

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recommendations! Published in 2021 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2021.07.018

Abstract: Abstract Previous work on the stability and convergence analysis of the finite element methods for the deterministic Navier-Stokes equations was carried out under the uniqueness condition. In this paper, the corresponding results of fully discrete… read more here.

Keywords: stokes equations; element methods; fully discrete; finite element ... See more keywords