Projection in negative norms and the regularization of rough linear functionals (Q2126137)

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English	Projection in negative norms and the regularization of rough linear functionals	scientific article

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scholarly article

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Projection in negative norms and the regularization of rough linear functionals (English)

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Kristoffer G. Van Der Zee

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Numerische Mathematik

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publication date

14 April 2022

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full work available at URL

https://arxiv.org/abs/2101.03044

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MaRDI profile type

MaRDI publication profile

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<i>A posteriori</i>error estimates for elliptic problems with Dirac measure terms in weighted spaces

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A posteriori error estimates for the Stokes problem with singular sources

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A Posteriori Error Estimates for the Stationary Navier--Stokes Equations with Dirac Measures

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A posteriori error estimates for the problem of electrostatics with a dipole source

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A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side

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A posteriori error estimates for elliptic problems with Dirac delta source terms

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An adaptive stabilized finite element scheme for a water quality model

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Error-bounds for finite element method

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Discretization of multipole sources in a finite difference setting for wave propagation problems

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Accuracy of three-dimensional analysis of regularized singularities

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Adaptive finite element methods with convergence rates

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Localization of the W-1,q norm for local a posteriori efficiency

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Mixed Finite Element Methods and Applications

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Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients

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The Mathematical Theory of Finite Element Methods

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Finite elements approximation of second order linear elliptic equations in divergence form with right-hand side in \(L^1\)

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Quasioptimal cardinality of AFEM driven by nonresidual estimators

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Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method

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FINITE ELEMENT APPROXIMATIONS FOR THE LAPLACE OPERATOR WITH A RIGHT-HAND SIDE MEASURE

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Convergence rates of AFEM with \(H^{-1}\) data

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Finite Element Approximation of Elliptic Problems with Dirac Measure Terms in Weighted Spaces: Applications to One- and Three-dimensional Coupled Problems

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An Overview of the Discontinuous Petrov Galerkin Method

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Hitchhiker's guide to the fractional Sobolev spaces

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A Convergent Adaptive Algorithm for Poisson’s Equation

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Improved Accuracy by Adapted Mesh-Refinements in the Finite Element Method

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Theory and practice of finite elements.

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Finite Elements I

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A converse to Fortin's lemma in Banach spaces

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A posteriori error estimates in \(W^{1,p}\times L^p\) spaces for the Stokes system with Dirac measures

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Convergence of linear finite elements for diffusion equations with measure data.

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A posteriori error estimates with point sources in fractional sobolev spaces

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Splitting method for elliptic equations with line sources

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An analysis of the practical DPG method

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A priori error estimates of regularized elliptic problems

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On regularizations of the Dirac delta distribution

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Regularity and finite element approximation for two-dimensional elliptic equations with line Dirac sources

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Data Oscillation and Convergence of Adaptive FEM

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The discrete-dual minimal-residual method (DDMRES) for weak advection-reaction problems in Banach spaces

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Discretization of Linear Problems in Banach Spaces: Residual Minimization, Nonlinear Petrov--Galerkin, and Monotone Mixed Methods

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Pointwise a Posteriori Error Estimates for Elliptic Problems on Highly Graded Meshes

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Finite element convergence for singular data

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Optimality of a standard adaptive finite element method

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An Optimal Adaptive Finite Element Method

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A High-Order Dirac-Delta Regularization with Optimal Scaling in the Spectral Solution of One-Dimensional Singular Hyperbolic Conservation Laws

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Numerical approximations of singular source terms in differential equations

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On the approximation of singular source terms in differential equations

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On applications of generalized functions to beam bending problems

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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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10.1007/S00211-022-01278-Z

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Mathematics(1 entry)

mardi Publication:2126137

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