A posteriori error analysis for implicit-explicit \textit{hp}-discontinuous Galerkin timestepping methods for semilinear parabolic problems
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Publication:2291949
DOI10.1007/s10915-020-01130-2zbMath1473.65184OpenAlexW2998897266WikidataQ126329241 ScholiaQ126329241MaRDI QIDQ2291949
Andrea Cangiani, Emmanuil H. Georgoulis, Mohammad Sabawi
Publication date: 31 January 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-020-01130-2
a posteriori error analysissemilinear PDEsspace-time finite element methods\textit{hp}-discontinuous Galerkinimplicit-explicit timestepping methods
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Semilinear parabolic equations (35K58)
Related Items (4)
Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes ⋮ A priori and a posteriori error estimates of the weak Galerkin finite element method for parabolic problems ⋮ A posteriori error bounds for fully-discrete \textit{hp}-discontinuous Galerkin timestepping methods for parabolic problems ⋮ Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up
Uses Software
Cites Work
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- Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence
- A posteriori error estimates for non-stationary non-linear convection-diffusion equations
- Galerkin finite element methods for parabolic problems
- Optimal order a posteriori error estimates for a class of Runge-Kutta and Galerkin methods
- Estimation of Sobolev-type embedding constant on domains with minimally smooth boundary using extension operator
- A posteriori error estimation for \(hp\)-version time-stepping methods for parabolic partial differential equations
- \(hp\)-adaptive Galerkin time stepping methods for nonlinear initial value problems
- A posteriori error analysis for time-dependent Ginzburg-Landau type equations
- Adaptive finite elements for a linear parabolic problem
- Constants in discrete Poincaré and Friedrichs inequalities and discrete quasi-interpolation
- A posteriori error bounds for fully-discrete \textit{hp}-discontinuous Galerkin timestepping methods for parabolic problems
- Continuous and discontinuous Galerkin time stepping methods for nonlinear initial value problems with application to finite time blow-up
- A posteriori error analysis for higher order dissipative methods for evolution problems
- A posteriori error estimates for finite element discretizations of the heat equation
- A Framework for Robust A Posteriori Error Control in Unsteady Nonlinear Advection-Diffusion Problems
- Discontinuous Galerkin Methods for Mass Transfer through Semipermeable Membranes
- Adaptive discontinuous Galerkin methods for nonstationary convection-diffusion problems
- Adaptivity and Blow-Up Detection for Nonlinear Evolution Problems
- A Posteriori Error Estimates for the Two-Step Backward Differentiation Formula Method for Parabolic Equations
- A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation
- Analysis for Time Discrete Approximations of Blow-up Solutions of Semilinear Parabolic Equations
- A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems
- On the Stability of the Discontinuous Galerkin Method for the Heat Equation
- A posteriori error estimates for the Crank–Nicolson method for parabolic equations
- Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems
- A Posteriori Error Estimates for Leap-Frog and Cosine Methods for Second Order Evolution Problems
- deal.II—A general-purpose object-oriented finite element library
- An Anisotropic Error Estimator for the Crank–Nicolson Method: Application to a Parabolic Problem
- Galerkin-Type Approximations which are Discontinuous in Time for Parabolic Equations in a Variable Domain
- Discontinuous Galerkin Methods for Ordinary Differential Equations
- The discontinuous Galerkin method for semilinear parabolic problems
- On Galerkin Methods in Semilinear Parabolic Problems
- A space-time finite element method for the nonlinear Schrödinger equation: the discontinuous Galerkin method
- Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems
- Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method
- Revealing new dynamical patterns in a reaction–diffusion model with cyclic competition via a novel computational framework
- Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems
- A Posteriori Error Analysis for the Mean Curvature Flow of Graphs
- Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $
- Adaptive Finite Element Methods for Parabolic Problems IV: Nonlinear Problems
- Adaptive discontinuous Galerkin approximations to fourth order parabolic problems
- Galerkin time-stepping methods for nonlinear parabolic equations
- A posteriorierror estimates for a nonconforming finite element discretization of the heat equation
- Error Control for Discontinuous Galerkin Methods for First Order Hyperbolic Problems
- Error Estimates for the Discontinuous Galerkin Methods for Parabolic Equations
- A convergent time–space adaptive dG(s) finite element method for parabolic problems motivated by equal error distribution
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