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Analysis of backward Euler primal DPG methods (Q823673)

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Language	Label	Description	Also known as
English	Analysis of backward Euler primal DPG methods	scientific article

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scholarly article

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Analysis of backward Euler primal DPG methods (English)

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Michael Karkulik

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Computational Methods in Applied Mathematics

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publication date

16 December 2021

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full work available at URL

https://arxiv.org/abs/2103.12181

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zbMATH Keywords

primal DPG

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time-stepping

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heat equation

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parabolic problems

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a priori analysis

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MaRDI profile type

MaRDI publication profile

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Stability of sparse space-time finite element discretizations of linear parabolic evolution equations

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Convergence rates of the DPG method with reduced test space degree

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A robust Petrov-Galerkin discretisation of convection-diffusion equations

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Breaking spaces and forms for the DPG method and applications including Maxwell equations

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A class of discontinuous Petrov-Galerkin methods. I: The transport equation

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A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions

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Analysis of the DPG Method for the Poisson Equation

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A Spacetime DPG Method for the Schrödinger Equation

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A class of discontinuous Petrov-Galerkin methods. III: Adaptivity

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Robust DPG Method for Convection-Dominated Diffusion Problems

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Space-time discontinuous Petrov-Galerkin methods for linear wave equations in heterogeneous media

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Superconvergence in a DPG method for an ultra-weak formulation

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Superconvergent DPG methods for second-order elliptic problems

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Trace operators of the bi-Laplacian and applications

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A robust DPG method for large domains

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An ultraweak formulation of the Kirchhoff–Love plate bending model and DPG approximation

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A time-stepping DPG scheme for the heat equation

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New a priori analysis of first‐order system least‐squares finite element methods for parabolic problems

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Space-time least-squares finite elements for parabolic equations

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An analysis of the practical DPG method

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Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers

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A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems

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A DPG-based time-marching scheme for linear hyperbolic problems

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Equivalence between the DPG method and the exponential integrators for linear parabolic problems

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Time-stepping DPG formulations for the heat equation

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Stability of Galerkin discretizations of a mixed space–time variational formulation of parabolic evolution equations

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Galerkin Finite Element Methods for Parabolic Problems

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Space-time discretizations using constrained first-order system least squares (CFOSLS)

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A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1515/CMAM-2021-0056

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Sitelinks

Mathematics(1 entry)

mardi Publication:823673

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