Error representation of the time-marching DPG scheme
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Publication:2670316
DOI10.1016/j.cma.2021.114480OpenAlexW4205791613MaRDI QIDQ2670316
Judit Muñoz-Matute, David Pardo, Leszek F. Demkowicz
Publication date: 11 March 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/20.500.11824/1422
exponential integratorsoptimal test functionsFortin operatorDPG methoderror representationultraweak formulation
Related Items (3)
Combining DPG in space with DPG time-marching scheme for the transient advection-reaction equation ⋮ Automatic variationally stable analysis for finite element computations: transient convection-diffusion problems ⋮ Space-time methods for time-dependent partial differential equations. Abstracts from the workshop held February 6--12, 2022
Uses Software
Cites Work
- A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms
- A converse to Fortin's lemma in Banach spaces
- A class of discontinuous Petrov-Galerkin methods. III: Adaptivity
- Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation
- Breaking spaces and forms for the DPG method and applications including Maxwell equations
- A time-stepping DPG scheme for the heat equation
- Exponential multistep methods of Adams-type
- A class of discontinuous Petrov-Galerkin methods. I: The transport equation
- Analysis of backward Euler primal DPG methods
- Construction of DPG Fortin operators for second order problems
- An adaptive DPG method for high frequency time-harmonic wave propagation problems
- A DPG-based time-marching scheme for linear hyperbolic problems
- An unconditionally stable space-time FE method for the Korteweg-de Vries equation
- Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm
- Space-time least-squares finite elements for parabolic equations
- The double adaptivity paradigm. (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi)
- A numerical study of the pollution error and DPG adaptivity for long waveguide simulations
- Time-stepping DPG formulations for the heat equation
- Equivalence between the DPG method and the exponential integrators for linear parabolic problems
- A stable FE method for the space-time solution of the Cahn-Hilliard equation
- The DPG-star method
- High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations
- Robust DPG Method for Convection-Dominated Diffusion Problems
- An analysis of the practical DPG method
- Exponential integrators
- Robust DPG Methods for Transient Convection-Diffusion
- A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
- Analysis of the DPG Method for the Poisson Equation
- An analysis of the convergence of mixed finite element methods
- A Convergent Adaptive Algorithm for Poisson’s Equation
- A Spacetime DPG Method for the Schrödinger Equation
- Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov--Galerkin Methods
- A Posteriori Error Control for DPG Methods
- Exponential Rosenbrock-Type Methods
- An Overview of the Discontinuous Petrov Galerkin Method
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