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7 papers · 2 filters
On the Lie enveloping algebra of a post-Lie algebra
Kurusch Ebrahimi-Fard, Alexander Lundervold, Hans Munthe-Kaas
We consider pairs of Lie algebras and , defined over a common vector space, where the Lie brackets of and are related via a post-Lie algebra structure. T…
B-series methods are exactly the affine equivariant methods
Robert I. McLachlan, Klas Modin, Hans Munthe-Kaas +1
Butcher series, also called B-series, are a type of expansion, fundamental in the analysis of numerical integration. Numerical methods that can be expanded in B-series are defined…
A FETI-DP preconditioner of discontinuous Galerkin method for multiscale problems in high constrast media
Rui Du, Yunfei Ma, Talal Rahman +1
In this paper we consider second order elliptic partial differential equations with highly varying (heterogeneous) coefficients on a two-dimensional region. The problems are discre…
Stable difference methods for block-oriented adaptive grids
Anna Nissen, Katharina Kormann, Magnus Grandin +1
In this paper, we present a block-oriented scheme for adaptive mesh refinement based on summation-by-parts (SBP) finite difference methods and simultaneous-approximation-term (SAT)…
Additive average Schwarz method for a Crouzeix-Raviart Finite Volume Element Discretization of Elliptic Problems with Heterogeneous Coefficients
Atle Loneland, Leszek Marcinkowski, Talal Rahman
In this paper we introduce an additive Schwarz method for a Crouzeix-Raviart Finite Volume Element (CRFVE) discretization of a second order elliptic problem with discontinuous coef…
Additive Schwarz preconditioner for the general finite volume element discretization of symmetric elliptic problems
Leszek Marcinkowski, Talal Rahman, Atle Loneland +1
A symmetric and a nonsymmetric variant of the additive Schwarz preconditioner are proposed for the solution of a nonsymmetric system of algebraic equations arising from a general f…