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A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems
Assyr Abdulle
,
Gilles Vilmart
Article dans une revue
hal-00746826v1
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The effect of numerical integration in the finite element method for nonmonotone nonlinear elliptic problems with application to numerical homogenization methods
Assyr Abdulle
,
Gilles Vilmart
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hal-00772086v1
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Coupling heterogeneous multiscale FEM with Runge-Kutta methods for parabolic homogenization problems: a fully discrete space-time analysis
Assyr Abdulle
,
Gilles Vilmart
Article dans une revue
hal-00746821v1
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Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems
Assyr Abdulle
,
Yun Bai
,
Gilles Vilmart
Article dans une revue
hal-00811490v2
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PIROCK: a swiss-knife partitioned implicit-explicit orthogonal Runge-Kutta Chebyshev integrator for stiff diffusion-advection-reaction problems with or without noise
Assyr Abdulle
,
Gilles Vilmart
Article dans une revue
hal-00739757v2
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An optimization-based method for sign-changing elliptic PDEs
Assyr Abdulle
,
Simon Lemaire
Article dans une revue
hal-04140542v2
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High order numerical approximation of the invariant measure of ergodic SDEs
Assyr Abdulle
,
Gilles Vilmart
,
Konstantinos Zygalakis
Article dans une revue
hal-00858088v2
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Analysis of the finite element heterogeneous multiscale method for nonmonotone elliptic homogenization problems
Assyr Abdulle
,
Gilles Vilmart
Article dans une revue
hal-00746811v2
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Long time accuracy of Lie-Trotter splitting methods for Langevin dynamics
Assyr Abdulle
,
Gilles Vilmart
,
Konstantinos Zygalakis
Article dans une revue
hal-00965354v2
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Weak second order explicit stabilized methods for stiff stochastic differential equations
Assyr Abdulle
,
Gilles Vilmart
,
Konstantinos Zygalakis
Article dans une revue
hal-00739754v2
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Linearized numerical homogenization method for nonlinear monotone parabolic multiscale problems
Assyr Abdulle
,
Martin Huber
,
Gilles Vilmart
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2015, 13 (3), pp.916-952. ⟨10.1137/140975504⟩
Article dans une revue
hal-01017106v3
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FE heterogeneous multiscale method for long-time wave propagation
Assyr Abdulle
,
Marcus J. Grote
,
Christian Stohrer
Article dans une revue
hal-00968874v1
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Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long-Time Effects
Assyr Abdulle
,
Marcus J. Grote
,
Christian Stohrer
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2014, 12 (3), pp.1230-1257. ⟨10.1137/13094195X⟩
Article dans une revue
hal-01111169v1
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Mean-square A-stable diagonally drift-implicit integrators of weak second order for stiff Itô stochastic differential equations
Assyr Abdulle
,
Gilles Vilmart
,
Konstantinos Zygalakis
Article dans une revue
hal-00739756v2
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An offline-online homogenization strategy to solve quasilinear two-scale problems at the cost of one-scale problems
Assyr Abdulle
,
Yun Bai
,
Gilles Vilmart
International Journal for Numerical Methods in Engineering, 2014, 99 (7), pp.469-486. ⟨10.1002/nme.4682⟩
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hal-00819565v1
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High weak order methods for stochastic differential equations based on modified equations
Assyr Abdulle
,
David Cohen
,
Gilles Vilmart
,
Konstantinos Zygalakis
Article dans une revue
hal-00746563v1
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