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Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics
(2015-11)
Article.
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Article.
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In this work, we analyze a recently proposed stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this formulation with respect to existing ones is the ...
Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization
(2017-01)
Article.
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Article.
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In this work, we propose a nonlinear stabilization technique for scalar conservation laws with implicit time stepping. The method relies on an artificial diffusion method, based on a graph-Laplacian operator. It is nonlinear, ...
Physics-based balancing domain decomposition by constraints for multi-material problems
(2019-05)
Article.
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Article.
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In this work, we present a new variant of the balancing domain decomposition by constraints preconditioner that is robust for multi-material problems. We start with a well-balanced subdomain partition, and based on an ...
Balancing domain decomposition by constraints and perturbation
(2016-11)
Article.
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Article.
Accés obert
In this paper, we formulate and analyze a perturbed formulation of the balancing domain decomposition by constraints (BDDC) method. We prove that the perturbed BDDC has the same polylogarithmic bound for the condition ...