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20152026
most citedSpace-time finite element approximation of the Biot poroelasticity system with iterative coupling

93 citations · 208 across the 38 of their papers we have counts for

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Showing 2018Show all

6 papers · 1 filter

cs.MS2018★ 22 cited

Efficient and scalable data structures and algorithms for goal-oriented adaptivity of space-time FEM codes

Uwe Köcher, Marius Paul Bruchhäuser, Markus Bause

The cost- and memory-efficient numerical simulation of coupled volume-based multi-physics problems like flow, transport, wave propagation and others remains a challenging task with…

math.NA2018★ 11 cited

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★ 1 cited

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★ 5 cited

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★ 1 cited

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…