Explicit-in-time goal-oriented adaptivity
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Publication:1987803
DOI10.1016/j.cma.2018.12.028zbMath1440.65144OpenAlexW2908017917MaRDI QIDQ1987803
Judit Muñoz-Matute, David Pardo, Elisabete Alberdi, Victor Manuel Calo, Kristoffer G. Van Der Zee
Publication date: 16 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/20.500.11937/74550
finite element methodgoal-oriented adaptivitylinear advection-diffusion equationerror representationexplicit methods in time
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (3)
A stable space-time FE method for the shallow water equations ⋮ Goal-oriented error estimation based on equilibrated flux and potential reconstruction for the approximation of elliptic and parabolic problems ⋮ Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua
Cites Work
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- Variational space-time methods for the wave equation
- Error assessment in structural transient dynamics
- Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion
- Solution verification, goal-oriented adaptive methods for stochastic advection-diffusion problems
- Goal-oriented error estimation and adaptivity for fluid-structure interaction using exact linearized adjoints
- A non-intrusive method for the calculation of strict and efficient bounds of calculated outputs of interest in linear viscoelasticity problems
- Goal-oriented error estimation for transient parabolic problems
- A self-adaptive goal-oriented \(hp\)-finite element method with electromagnetic applications. II: Electrodynamics
- Duality-based two-level error estimation for time-dependent PDEs: application to linear and nonlinear parabolic equations
- Adaptive time step control for higher order variational time discretizations applied to convection-diffusion-reaction equations
- A posteriori error analysis of IMEX multi-step time integration methods for advection-diffusion-reaction equations
- An \(hp\) a priori error analysis of the DG time-stepping for initial value problems
- Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation
- A tent pitching scheme motivated by Friedrichs theory
- An energy-stable time-integrator for phase-field models
- Time-domain goal-oriented adaptivity using pseudo-dual error representations
- Revisiting stabilized finite element methods for the advective-diffusive equation
- A space-time discontinuous Galerkin method for linearized elastodynamics with element-wise momentum balance
- Adaptive Galerkin finite element methods for the wave equation
- Dual-based a posteriori error estimate for stochastic finite element methods
- Goal-oriented space-time adaptivity for transient dynamics using a modal description of the adjoint solution
- Bounds of functional outputs for parabolic problems. I: Exact bounds of the discontinuous Galerkin time discretization
- Bounds of functional outputs for parabolic problems. II: Bounds of the exact solution
- A spacetime discontinuous Galerkin method for hyperbolic heat conduction
- ADAPTIVE FINITE ELEMENT TECHNIQUES FOR THE ACOUSTIC WAVE EQUATION
- Higher order Galerkin time discretizations and fast multigrid solvers for the heat equation
- Two‐Dimensional High‐Accuracy Simulation of Resistivity Log ging‐While‐Drilling (LWD) Measurements Using a Self‐Adaptiv e Goal‐Oriented $hp$ Finite Element Method
- A goal-orientedhp-adaptive finite element method with electromagnetic applications. Part I: electrostatics
- A-stable discontinuous Galerkin–Petrov time discretization of higher order
- Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
- Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method
- Goal‐oriented space–time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow
- On the Construction and Comparison of Difference Schemes
- Numerical Methods for Ordinary Differential Equations
- Goal-oriented error estimation and adaptivity for the finite element method
- \(hp\)-discontinuous Galerkin time stepping for parabolic problems
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