AbstractWe develop subgrid scale models for a class of nonsymmetric, linear evolution operators by applying the variational multiscale method in space-time. The results generalize those of Hughes [14] which were confined to the steady case. The subgrid scale models are shown to be a paradigm for “bubble” function finite element methods and provide a theoretical and practical framework for the development of so-called stabilized methods
<p>This paper presents the construction of novel stabilized finite element methods in the convective...
Abstract. Variational multiscale methods lead to stable finite element approximations of the Navier–...
Consider the macroscale modelling of microscale spatio-temporal dynamics. Here we develop an approac...
This article presents an introduction to multiscale and stabilized methods, which represent unied ap...
We present a variational multiscale formulation for the numerical solution of one-dimensional syste...
In this paper, we propose and analyze the stability and the dissipative structure of a new dynamic t...
In this paper, we propose and analyze the stability and the dissipative structure of a new dynamic t...
We present an appropriate extension of the stabilized finite element formulation, introduced in [A. ...
We derive an explicit formula for the fine-scale Green’s function arising in variational multiscale ...
We derive an explicit formula for the fine-scale Green’s function arising in variational multiscale ...
this paper. After reviewing the basics of the multiscale framework we will outline in Section 3 a ne...
Abstract. Second order elliptic problems in divergence form with a highly varying leading order coef...
In this paper, we propose and analyze the stability and the dissipative structure of a new...
A numerical approximation for the one‐dimensional Burgers equation is proposed by means of the ortho...
In this work the residual-based variational multiscale method is presented in a discontinuous Galerk...
<p>This paper presents the construction of novel stabilized finite element methods in the convective...
Abstract. Variational multiscale methods lead to stable finite element approximations of the Navier–...
Consider the macroscale modelling of microscale spatio-temporal dynamics. Here we develop an approac...
This article presents an introduction to multiscale and stabilized methods, which represent unied ap...
We present a variational multiscale formulation for the numerical solution of one-dimensional syste...
In this paper, we propose and analyze the stability and the dissipative structure of a new dynamic t...
In this paper, we propose and analyze the stability and the dissipative structure of a new dynamic t...
We present an appropriate extension of the stabilized finite element formulation, introduced in [A. ...
We derive an explicit formula for the fine-scale Green’s function arising in variational multiscale ...
We derive an explicit formula for the fine-scale Green’s function arising in variational multiscale ...
this paper. After reviewing the basics of the multiscale framework we will outline in Section 3 a ne...
Abstract. Second order elliptic problems in divergence form with a highly varying leading order coef...
In this paper, we propose and analyze the stability and the dissipative structure of a new...
A numerical approximation for the one‐dimensional Burgers equation is proposed by means of the ortho...
In this work the residual-based variational multiscale method is presented in a discontinuous Galerk...
<p>This paper presents the construction of novel stabilized finite element methods in the convective...
Abstract. Variational multiscale methods lead to stable finite element approximations of the Navier–...
Consider the macroscale modelling of microscale spatio-temporal dynamics. Here we develop an approac...
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