A cost-efficient space-time adaptive algorithm for coupled flow and transport
From MaRDI portal
Publication:6088289
DOI10.1515/cmam-2022-0245zbMath1527.65095arXiv2212.02954OpenAlexW4367692402MaRDI QIDQ6088289
Markus Bause, Marius Paul Bruchhäuser
Publication date: 16 November 2023
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.02954
cost-efficiencycoupled problemsdual weighted residual methodmultirategoal-oriented a posteriori error controlspacetime adaptivityspacetime slabs
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion
- Goal oriented adaptivity for coupled flow and transport problems with applications in oil reservoir simulations
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Multirate iterative scheme based on multiphysics discontinuous Galerkin method for a poroelasticity model
- Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow
- A phase-field multirate scheme with stabilized iterative coupling for pressure driven fracture propagation in porous media
- Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering
- An efficient DWR-type a posteriori error bound of SDFEM for singularly perturbed convection-diffusion PDEs
- Convergence of single rate and multirate undrained split iterative schemes for a fractured Biot model
- On the implementation of an adaptive multirate framework for coupled transport and flow
- Stability of multirate explicit coupling of geomechanics with flow in a poroelastic medium
- A partition-of-unity dual-weighted residual approach for multi-objective goal functional error estimation applied to elliptic problems
- Adaptive time-step control for a monolithic multirate scheme coupling the heat and wave equation
- The \texttt{deal.II} library, Version 9.3
- Finite Element Methods for Incompressible Flow Problems
- Robust error estimates in weak norms for advection dominated transport problems with rough data
- A posteriori error analysis and adaptive processes in the finite element method: Part I—error analysis
- An optimal control approach to a posteriori error estimation in finite element methods
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
- Finite Elements III
- Goal‐oriented space–time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow
- A priori error analysis for finite element approximations of the Stokes problem on dynamic meshes
- Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?
