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A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems - MaRDI portal

A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems (Q1999656)

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Please use this page instead for the normal view: A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems

scientific article

Language	Label	Description	Also known as
English	A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems	scientific article

Statements

scholarly article

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A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems (English)

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Dirk Praetorius

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publication date

27 June 2019

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full work available at URL

https://arxiv.org/abs/1703.10796

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zbMATH Keywords

FEM-BEM coupling

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adaptivity

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Uzawa algorithm

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MaRDI profile type

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A Convergent Adaptive Algorithm for Poisson’s Equation

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Data Oscillation and Convergence of Adaptive FEM

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Optimality of a standard adaptive finite element method

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Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method

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Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems

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Quasi-optimal convergence rate for an adaptive boundary element method

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Adaptive boundary element methods with convergence rates

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Axioms of adaptivity

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Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems

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Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity

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Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems

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Stopping criteria for adaptive finite element solvers

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An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition

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On the Coupling of Boundary Integral and Finite Element Methods

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The Validity of Johnson–Nédélec's BEM–FEM Coupling on Polygonal Interfaces

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A Note on the Stable One-Equation Coupling of Finite and Boundary Elements

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Is the one-equation coupling of finite and boundary element methods always stable?

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On the ellipticity of coupled finite element and one-equation boundary element methods for boundary value problems

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Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems

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A non-symmetric coupling of the finite volume method and the boundary element method

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Adaptive coupling of boundary elements and finite elements

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Experimental convergence rates for various couplings of boundary and finite elements

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Numerical Approximation Methods for Elliptic Boundary Value Problems

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On 2D newest vertex bisection: optimality of mesh-closure and \(H ^{1}\)-stability of \(L _{2}\)-projection

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The completion of locally refined simplicial partitions created by bisection

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Optimal multilevel methods for H(grad), H(curl), and H(div) systems on graded and unstructured grids

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Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems

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Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations

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Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements

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A Posteriori Error Estimates for Boundary Element Methods

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An a posteriori error estimate for a first-kind integral equation

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A posteriori error estimate and h-adaptive algorithm on surfaces from Symm's integral equation

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Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation

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Optimal grading of the newest vertex bisection and<i>H</i><sup>1</sup>-stability of the<i>L</i><sub>2</sub>-projection

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Local inverse estimates for non-local boundary integral operators

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Finite elements on degenerate meshes: inverse-type inequalities and applications

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A posteriori error estimation in finite element analysis

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Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without \(h\)-weighting factor

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Computers & Mathematics with Applications

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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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10.1016/J.CAMWA.2017.12.035

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Sitelinks

Mathematics(1 entry)

mardi Publication:1999656

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