Interpolatory HDG method for parabolic semilinear PDEs (Q2316197)

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Language	Label	Description	Also known as
English	Interpolatory HDG method for parabolic semilinear PDEs	scientific article

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scholarly article

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Interpolatory HDG method for parabolic semilinear PDEs (English)

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Bernardo Cockburn

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John R. Singler

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Journal of Scientific Computing

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publication date

26 July 2019

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full work available at URL

https://arxiv.org/abs/1811.09667

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zbMATH Keywords

hybridizable discontinuous Galerkin method

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interpolatory method

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Newton iteration

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MaRDI profile type

MaRDI publication profile

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The Mathematical Theory of Finite Element Methods

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Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations

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Uniform-in-time superconvergence of HDG methods for the heat equation

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Error Estimates of Optimal Order for Finite Element Methods with Interpolated Coefficients for the Nonlinear Heat Equation

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Product Approximation for Non-linear Problems in the Finite Element Method

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Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Selected papers based on the presentations at the 101st LMS-EPSRC symposium, Durham, UK, July 8--16, 2014

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Superconvergence by<i>M</i>-decompositions. Part II: Construction of two-dimensional finite elements

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Superconvergence by<i>M</i>-decompositions. Part III: Construction of three-dimensional finite elements

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Superconvergence by $M$-decompositions. Part I: General theory for HDG methods for diffusion

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Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems

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A projection-based error analysis of HDG methods

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A Hybridizable Discontinuous Galerkin Method for the $p$-Laplacian

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The Effect of Interpolating the Coefficients in Nonlinear Parabolic Galerkin Procedures

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Analysis of an augmented HDG method for a class of quasi-Newtonian Stokes flows

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A hybridizable discontinuous Galerkin formulation for non-linear elasticity

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TWO-SCALE PRODUCT APPROXIMATION FOR SEMILINEAR PARABOLIC PROBLEMS IN MIXED METHODS

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Interpolation of coefficients and transformation of the dependent variable in finite element methods for the non-linear heat equation

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Stability and Convergence in Numerical Analysis III: Linear Investigation of Nonlinear Stability

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Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics

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An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations

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An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations

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A class of embedded discontinuous Galerkin methods for computational fluid dynamics

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Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations

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Interpolation of the Coefficients in Nonlinear Elliptic Galerkin Procedures

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Product Approximation for Nonlinear Klein-Gordon Equations

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Hybridizable discontinuous Galerkin projection methods for Navier-Stokes and Boussinesq equations

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Convergence of the interpolated coefficient finite element method for the two-dimensional elliptic sine-Gordon equations

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Nonlinear model reduction based on the finite element method with interpolated coefficients: Semilinear parabolic equations

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Superconvergence of rectangular finite element with interpolated coefficients for semilinear elliptic problem

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Superconvergence of triangular quadratic finite element with interpolated coefficients for semilinear parabolic equation

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Convergence of FEM with interpolated coefficients for semilinear hyperbolic equation

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Identifiers

zbMATH Open document ID

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10.1007/s10915-019-00911-8

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2316197

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