Space–time finite element approximation of the Biot poroelasticity system with iterative coupling
We analyze an optimized artificial fixed-stress iterative scheme for a space–time finite
element approximation of the Biot system modeling fluid flow in deformable porous media …
element approximation of the Biot system modeling fluid flow in deformable porous media …
Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space
Variational time discretization schemes are getting of increasing importance for the accurate
numerical approximation of transient phenomena. The applicability and value of mixed finite …
numerical approximation of transient phenomena. The applicability and value of mixed finite …
Galerkin–collocation approximation in time for the wave equation and its post-processing
M Anselmann, M Bause, S Becher… - … and Numerical Analysis, 2020 - esaim-m2an.org
We introduce and analyze families of Galerkin–collocation discretization schemes in time for
the wave equation. Their conceptual basis is the establishment of a connection between the …
the wave equation. Their conceptual basis is the establishment of a connection between the …
A space–time domain decomposition approach using enhanced velocity mixed finite element method
A space–time domain decomposition approach is presented as a natural extension of the
enhanced velocity mixed finite element (EVMFE), introduced by Wheeler et al. in (2002)[26] …
enhanced velocity mixed finite element (EVMFE), introduced by Wheeler et al. in (2002)[26] …
[PDF][PDF] Variational space-time methods for the elastic wave equation and the diffusion equation
U Köcher - 2015 - scholar.archive.org
In this work we analyse variational space-time discretisation methods for an accurate and
reliable numerical approximation of three-dimensional elastic ultrasonic waves in solids …
reliable numerical approximation of three-dimensional elastic ultrasonic waves in solids …
Post-processed Galerkin approximation of improved order for wave equations
We introduce and analyze a post-processing for continuous variational space-time
discretizations of wave problems. The post-processing lifts the fully discrete approximation in …
discretizations of wave problems. The post-processing lifts the fully discrete approximation in …
Sequential local mesh refinement solver with separate temporal and spatial adaptivity for non-linear two-phase flow problems
Convergence failure and slow convergence rates are among the biggest challenges with
solving the system of non-linear equations numerically. Although mitigated, such issues still …
solving the system of non-linear equations numerically. Although mitigated, such issues still …
Numerical study of goal-oriented error control for stabilized finite element methods
The efficient and reliable approximation of convection-dominated problems continues to
remain a challenging task. To overcome the difficulties associated with the discretization of …
remain a challenging task. To overcome the difficulties associated with the discretization of …
Implicit space-time domain decomposition approach for solving multiphase miscible flow: accuracy and scalability
In this paper, we propose a fully implicit space-time multiscale scheme to improve
computational efficiency in solving nonlinear multiphase flow in porous media. Here, error …
computational efficiency in solving nonlinear multiphase flow in porous media. Here, error …
Iterative coupling of variational space-time methods for Biot's system of poroelasticity
In this work we present an iterative coupling scheme for the quasi-static Biot system of
poroelasticity. For the discretization of the subproblems describing mechanical deformation …
poroelasticity. For the discretization of the subproblems describing mechanical deformation …