activity
20162026
most citedEfficient and scalable data structures and algorithms for goal-oriented adaptivity of space-time FEM codes

22 citations · 47 across the 21 of their papers we have counts for

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Showing 2018 · math.NAShow all

5 papers · 2 filters

math.NA2018

Dual weighted residual based error control for nonstationary convection-dominated equations: potential or ballast?

Marius Paul Bruchhäuser, Kristina Schwegler, Markus Bause

Even though substantial progress has been made in the numerical approximation of convection-dominated problems, its major challenges remain in the scope of current research. In par…

math.NA2018

A mixed discontinuous-continuous Galerkin time discretisation for Biot's system

Uwe Köcher, Markus Bause

We study higher-order space-time variational discretisations for modeling complex processes in porous media that include fluid and structure interactions which are of fundamental i…

math.NA2018

Numerical study of goal-oriented error control for stabilized finite element methods

Marius Paul Bruchhäuser, Kristina Schwegler, Markus Bause

The efficient and reliable approximation of convection-dominated problems continues to remain a challenging task. To overcome the difficulties associated with the discretization of…

math.NA2018

Post-processed Galerkin approximation of improved order for wave equations

Markus Bause, Uwe Köcher, Florin A. Radu +1

We introduce and analyze a post-processing for a family of variational space-time approximations to wave problems. The discretization in space and time is based on continuous finit…

math.NA2018

Iterative Coupling of Mixed and Discontinuous Galerkin Methods for Poroelasticity

Markus Bause

We analyze an iterative coupling of mixed and discontinuous Galerkin methods for numerical modelling of coupled flow and mechanical deformation in porous media. The iteration is ba…