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Duality-based two-level error estimation for time-dependent PDEs: Application to linear and nonlinear parabolic equations

  • Published:2015-05 Issue: Volume:288 Page:83-109
  • ISSN:0045-7825
  • Container-title:Computer Methods in Applied Mechanics and Engineering
  • language:en
  • Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Şimşek G.ORCID,Wu X.,van der Zee K.G.,van Brummelen E.H.

Funder

Netherlands Organisation for Scientific Research (NWO)

NanoNextNL

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference47 articles.

1. Phase-Field Methods in Materials Science and Engineering;Provatas,2010

2. Phase field modeling and simulation of three-phase flows;Kim;Interfaces Free Bound.,2005

3. Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities;Abels;Math. Models Methods Appl. Sci.,2012

4. The variational approach to fracture;Bourdin;J.~Elasticity,2008

5. A phase-field description of dynamic brittle fracture;Borden;Comput. Methods Appl. Mech. Engrg.,2012

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1. Linearization errors in discrete goal-oriented error estimation;Computer Methods in Applied Mechanics and Engineering;2023-11

2. A robust and accurate adaptive approximation method for a diffuse-interface model of binary-fluid flows;Computer Methods in Applied Mechanics and Engineering;2022-10

3. Adaptive modelling of variably saturated seepage problems;The Quarterly Journal of Mechanics and Applied Mathematics;2021-02-01

4. High-order numerical solution of time-dependent differential equations with quasi-interpolation;Applied Numerical Mathematics;2019-12

5. Variational formulations for explicit Runge-Kutta Methods;Finite Elements in Analysis and Design;2019-11
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