A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations
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Publication:1670245
DOI10.1553/etna_vol49s151zbMath1397.65167OpenAlexW2755824309WikidataQ129680331 ScholiaQ129680331MaRDI QIDQ1670245
Martin Vohralík, Sarah Ali Hassan, Caroline Japhet
Publication date: 5 September 2018
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol49/abstract.php?vol=49&pages=151-181
stopping criteriamixed finite element methoda posteriori error estimateRobin interface conditionsglobal-in-time domain decompositionnonconforming time grids
Flows in porous media; filtration; seepage (76S05) Iterative numerical methods for linear systems (65F10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
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Cites Work
- An efficient way to assemble finite element matrices in vector languages
- A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media
- A strict error bound with separated contributions of the discretization and of the iterative solver in non-overlapping domain decomposition methods
- Stopping criteria for mixed finite element problems
- A posteriori estimates for partial differential equations
- A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods
- A priori and a posteriori analysis of finite volume discretizations of Darcy's equations
- A stopping criterion for the conjugate gradient algorithm in a finite element method framework
- Domain decomposition methods for the diffusion equation with low-regularity solution
- Strict bounding of quantities of interest in computations based on domain decomposition
- Adaptive error control for multigrid finite element methods
- A posteriori stopping criteria for optimized Schwarz domain decomposition algorithms in mixed formulations
- Space-time domain decomposition for advection-diffusion problems in mixed formulations
- Estimating and localizing the algebraic and total numerical errors using flux reconstructions
- Toward an optimized global-in-time Schwarz algorithm for diffusion equations with discontinuous and spatially variable coefficients. I: The constant coefficients case
- A posteriori error estimates for finite element discretizations of the heat equation
- Space-Time Domain Decomposition for Reduced Fracture Models in Mixed Formulation
- $hp$-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems
- Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs
- An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow
- Discontinuous Galerkin and Nonconforming in Time Optimized Schwarz Waveform Relaxation
- A homographic best approximation problem with application to optimized Schwarz waveform relaxation
- A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation
- Space–Time Domain Decomposition with Finite Volumes for Porous Media Applications
- Balancing domain decomposition
- Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
- A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers
- Algorithm 932
- A posteriori error analysis for locally conservative mixed methods
- Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
- An Introduction to Domain Decomposition Methods
- A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations
- A Posteriori Error Estimation for Lowest Order Raviart–Thomas Mixed Finite Elements
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems
- A GENERAL OUTPUT BOUND RESULT: APPLICATION TO DISCRETIZATION AND ITERATION ERROR ESTIMATION AND CONTROL
- On the Implementation of Mixed Methods as Nonconforming Methods for Second- Order Elliptic Problems
- Balancing Domain Decomposition for Mixed Finite Elements
- Optimized Schwarz Waveform Relaxation and Discontinuous Galerkin Time Stepping for Heterogeneous Problems
- Robust a Posteriori Error Control and Adaptivity for Multiscale, Multinumerics, and Mortar Coupling
- Goal-oriented error control of the iterative solution of finite element equations
- Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations
- Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations
- Mastering Calculations in Linear and Nonlinear Mechanics
- Optimized Schwarz Methods
- Approximations in elasticity based on the concept of function space
- An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions
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